Linear Programming and its Applications

00.4 Contents.pdf

CONTENTS

SymbolsXIII

A. Linear Algebra1

B. Computational Complexity 31

References 363

Subject Index 377

00.5 Symbols.pdf

SYMBOLS

Notation

0A.1 Linear Algebra.pdf

A.1 Matrix Algebra

0A.2 Linear Algebra.pdf

A.2 Systems of Simultaneous Linear Equations

Figure A.1

Figure A.2a

0A.3 Linear Algebra.pdf

A.3 Convexity

Figure A.3d

Figure A.4

Figure A.5

0B.1 Computational Complexity.pdf

B COMPUTATIONAL COMPLEXITY

B.1 Algorithms and Time Complexity Functions

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Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.1BookmarkLevel: 2BookmarkPageNumber: 89BookmarkBeginBookmarkTitle: Figure 2.2BookmarkLevel: 2BookmarkPageNumber: 91BookmarkBeginBookmarkTitle: 02.7 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.3BookmarkLevel: 2BookmarkPageNumber: 101BookmarkBeginBookmarkTitle: 02.8 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.4BookmarkLevel: 2BookmarkPageNumber: 104BookmarkBeginBookmarkTitle: Figure 2.5BookmarkLevel: 2BookmarkPageNumber: 106BookmarkBeginBookmarkTitle: Figure 2.6BookmarkLevel: 2BookmarkPageNumber: 107BookmarkBeginBookmarkTitle: 02.10 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.7BookmarkLevel: 2BookmarkPageNumber: 120BookmarkBeginBookmarkTitle: Figure 2.8BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: Figure 2.9BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: 03.1 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.1BookmarkLevel: 2BookmarkPageNumber: 142BookmarkBeginBookmarkTitle: Figure 3.2BookmarkLevel: 2BookmarkPageNumber: 143BookmarkBeginBookmarkTitle: Figure 3.5BookmarkLevel: 2BookmarkPageNumber: 148BookmarkBeginBookmarkTitle: Figure 3.6BookmarkLevel: 2BookmarkPageNumber: 149BookmarkBeginBookmarkTitle: Figure 3.7BookmarkLevel: 2BookmarkPageNumber: 151BookmarkBeginBookmarkTitle: Figure 3.8BookmarkLevel: 2BookmarkPageNumber: 152BookmarkBeginBookmarkTitle: 03.2 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.10BookmarkLevel: 2BookmarkPageNumber: 154BookmarkBeginBookmarkTitle: Figure 3.11bBookmarkLevel: 2BookmarkPageNumber: 159BookmarkBeginBookmarkTitle: 03.3 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.12BookmarkLevel: 2BookmarkPageNumber: 164BookmarkBeginBookmarkTitle: Figure 3.13BookmarkLevel: 2BookmarkPageNumber: 170BookmarkBeginBookmarkTitle: 04.1 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Chapter 4 DUALITYBookmarkLevel: 2BookmarkPageNumber: 178BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1aBookmarkLevel: 4BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1bBookmarkLevel: 4BookmarkPageNumber: 187BookmarkBeginBookmarkTitle: Dual problem PDBookmarkLevel: 2BookmarkPageNumber: 189BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 191BookmarkBeginBookmarkTitle:BookmarkLevel: 4BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2aBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2bBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.3aBookmarkLevel: 5BookmarkPageNumber: 192BookmarkBeginBookmarkTitle: 04.2 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 4.4aBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.4bBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.5BookmarkLevel: 2BookmarkPageNumber: 198BookmarkBeginBookmarkTitle: Figure 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Table 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Figure 4.7aBookmarkLevel: 3BookmarkPageNumber: 201BookmarkBeginBookmarkTitle: Figure 4.7bBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7cBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7dBookmarkLevel: 3BookmarkPageNumber: 203BookmarkBeginBookmarkTitle: Figure 4.7eBookmarkLevel: 3BookmarkPageNumber: 204BookmarkBeginBookmarkTitle: Figure 4.7gBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7hBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7iBookmarkLevel: 3BookmarkPageNumber: 206BookmarkBeginBookmarkTitle: Figure 4.7jBookmarkLevel: 3BookmarkPageNumber: 207BookmarkBeginBookmarkTitle: Figure 4.7kBookmarkLevel: 4BookmarkPageNumber: 208BookmarkBeginBookmarkTitle: 05.1 Extensions of the Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 5.1BookmarkLevel: 2BookmarkPageNumber: 216BookmarkBeginBookmarkTitle: Figure. 5.2BookmarkLevel: 3BookmarkPageNumber: 221BookmarkBeginBookmarkTitle: 06.1 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.1BookmarkLevel: 2BookmarkPageNumber: 237BookmarkBeginBookmarkTitle: Figure 6.4BookmarkLevel: 2BookmarkPageNumber: 242BookmarkBeginBookmarkTitle: 06.2 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.5BookmarkLevel: 2BookmarkPageNumber: 248BookmarkBeginBookmarkTitle: 06.4 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.6BookmarkLevel: 2BookmarkPageNumber: 255BookmarkBeginBookmarkTitle: 06.5 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.7BookmarkLevel: 2BookmarkPageNumber: 259BookmarkBeginBookmarkTitle: 07.1 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.1BookmarkLevel: 2BookmarkPageNumber: 274BookmarkBeginBookmarkTitle: Figure 7.2BookmarkLevel: 2BookmarkPageNumber: 277BookmarkBeginBookmarkTitle: Figure 7.3BookmarkLevel: 2BookmarkPageNumber: 278BookmarkBeginBookmarkTitle: Figure 7.4BookmarkLevel: 2BookmarkPageNumber: 280BookmarkBeginBookmarkTitle: 07.2 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.5BookmarkLevel: 2BookmarkPageNumber: 294BookmarkBeginBookmarkTitle: 08.1 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 8 PROBLEM REFORMULATIONSBookmarkLevel: 2BookmarkPageNumber: 306BookmarkBeginBookmarkTitle: 08.3 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 8.1BookmarkLevel: 2BookmarkPageNumber: 311BookmarkBeginBookmarkTitle: Figure 8.3aBookmarkLevel: 2BookmarkPageNumber: 326BookmarkBeginBookmarkTitle: 09.1 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 9 MULTIOBJECTIVE PROGRAMMINGBookmarkLevel: 2BookmarkPageNumber: 335BookmarkBeginBookmarkTitle: Figure 9.1aBookmarkLevel: 2BookmarkPageNumber: 339BookmarkBeginBookmarkTitle: Figure 9.1bBookmarkLevel: 2BookmarkPageNumber: 340BookmarkBeginBookmarkTitle: Figure 9.3BookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4aBookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4bBookmarkLevel: 2BookmarkPageNumber: 343BookmarkBeginBookmarkTitle: Figure 9.5aBookmarkLevel: 2BookmarkPageNumber: 344BookmarkBeginBookmarkTitle: Figure 9.5bBookmarkLevel: 2BookmarkPageNumber: 345BookmarkBeginBookmarkTitle: 09.2 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.6BookmarkLevel: 2BookmarkPageNumber: 350BookmarkBeginBookmarkTitle: 09.3 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.7BookmarkLevel: 2BookmarkPageNumber: 353BookmarkBeginBookmarkTitle: Figure 9.8BookmarkLevel: 2BookmarkPageNumber: 355BookmarkBeginBookmarkTitle: 11 Subject Index.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: SUBJECT INDEXBookmarkLevel: 2BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: ABookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: BBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: CBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: DBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: EBookmarkLevel: 3BookmarkPageNumber: 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BookmarkLevel: 5BookmarkPageNumber: 46BookmarkBeginBookmarkTitle:BookmarkLevel: 6BookmarkPageNumber: 46BookmarkBeginBookmarkTitle:BookmarkLevel: 7BookmarkPageNumber: 46BookmarkBeginBookmarkTitle:BookmarkLevel: 8BookmarkPageNumber: 46BookmarkBeginBookmarkTitle: Figure B.2BookmarkLevel: 9BookmarkPageNumber: 46BookmarkBeginBookmarkTitle: 0B.2 Computational Complexity.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: B.2 Examples of Time Complexity FunctionsBookmarkLevel: 2BookmarkPageNumber: 49BookmarkBeginBookmarkTitle: 0B.3 Computational Complexity.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: B.3 Classes of Problems and Their RelationsBookmarkLevel: 2BookmarkPageNumber: 53BookmarkBeginBookmarkTitle: 01.5 Introduction.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 1.1BookmarkLevel: 2BookmarkPageNumber: 72BookmarkBeginBookmarkTitle: 02.3 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.1BookmarkLevel: 2BookmarkPageNumber: 89BookmarkBeginBookmarkTitle: Figure 2.2BookmarkLevel: 2BookmarkPageNumber: 91BookmarkBeginBookmarkTitle: 02.7 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.3BookmarkLevel: 2BookmarkPageNumber: 101BookmarkBeginBookmarkTitle: 02.8 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.4BookmarkLevel: 2BookmarkPageNumber: 104BookmarkBeginBookmarkTitle: Figure 2.5BookmarkLevel: 2BookmarkPageNumber: 106BookmarkBeginBookmarkTitle: Figure 2.6BookmarkLevel: 2BookmarkPageNumber: 107BookmarkBeginBookmarkTitle: 02.10 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.7BookmarkLevel: 2BookmarkPageNumber: 120BookmarkBeginBookmarkTitle: Figure 2.8BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: Figure 2.9BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: 03.1 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.1BookmarkLevel: 2BookmarkPageNumber: 142BookmarkBeginBookmarkTitle: Figure 3.2BookmarkLevel: 2BookmarkPageNumber: 143BookmarkBeginBookmarkTitle: Figure 3.5BookmarkLevel: 2BookmarkPageNumber: 148BookmarkBeginBookmarkTitle: Figure 3.6BookmarkLevel: 2BookmarkPageNumber: 149BookmarkBeginBookmarkTitle: Figure 3.7BookmarkLevel: 2BookmarkPageNumber: 151BookmarkBeginBookmarkTitle: Figure 3.8BookmarkLevel: 2BookmarkPageNumber: 152BookmarkBeginBookmarkTitle: 03.2 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.10BookmarkLevel: 2BookmarkPageNumber: 154BookmarkBeginBookmarkTitle: Figure 3.11bBookmarkLevel: 2BookmarkPageNumber: 159BookmarkBeginBookmarkTitle: 03.3 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.12BookmarkLevel: 2BookmarkPageNumber: 164BookmarkBeginBookmarkTitle: Figure 3.13BookmarkLevel: 2BookmarkPageNumber: 170BookmarkBeginBookmarkTitle: 04.1 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Chapter 4 DUALITYBookmarkLevel: 2BookmarkPageNumber: 178BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1aBookmarkLevel: 4BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1bBookmarkLevel: 4BookmarkPageNumber: 187BookmarkBeginBookmarkTitle: Dual problem PDBookmarkLevel: 2BookmarkPageNumber: 189BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 191BookmarkBeginBookmarkTitle:BookmarkLevel: 4BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2aBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2bBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.3aBookmarkLevel: 5BookmarkPageNumber: 192BookmarkBeginBookmarkTitle: 04.2 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 4.4aBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.4bBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.5BookmarkLevel: 2BookmarkPageNumber: 198BookmarkBeginBookmarkTitle: Figure 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Table 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Figure 4.7aBookmarkLevel: 3BookmarkPageNumber: 201BookmarkBeginBookmarkTitle: Figure 4.7bBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7cBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7dBookmarkLevel: 3BookmarkPageNumber: 203BookmarkBeginBookmarkTitle: Figure 4.7eBookmarkLevel: 3BookmarkPageNumber: 204BookmarkBeginBookmarkTitle: Figure 4.7gBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7hBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7iBookmarkLevel: 3BookmarkPageNumber: 206BookmarkBeginBookmarkTitle: Figure 4.7jBookmarkLevel: 3BookmarkPageNumber: 207BookmarkBeginBookmarkTitle: Figure 4.7kBookmarkLevel: 4BookmarkPageNumber: 208BookmarkBeginBookmarkTitle: 05.1 Extensions of the Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 5.1BookmarkLevel: 2BookmarkPageNumber: 216BookmarkBeginBookmarkTitle: Figure. 5.2BookmarkLevel: 3BookmarkPageNumber: 221BookmarkBeginBookmarkTitle: 06.1 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.1BookmarkLevel: 2BookmarkPageNumber: 237BookmarkBeginBookmarkTitle: Figure 6.4BookmarkLevel: 2BookmarkPageNumber: 242BookmarkBeginBookmarkTitle: 06.2 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.5BookmarkLevel: 2BookmarkPageNumber: 248BookmarkBeginBookmarkTitle: 06.4 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.6BookmarkLevel: 2BookmarkPageNumber: 255BookmarkBeginBookmarkTitle: 06.5 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.7BookmarkLevel: 2BookmarkPageNumber: 259BookmarkBeginBookmarkTitle: 07.1 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.1BookmarkLevel: 2BookmarkPageNumber: 274BookmarkBeginBookmarkTitle: Figure 7.2BookmarkLevel: 2BookmarkPageNumber: 277BookmarkBeginBookmarkTitle: Figure 7.3BookmarkLevel: 2BookmarkPageNumber: 278BookmarkBeginBookmarkTitle: Figure 7.4BookmarkLevel: 2BookmarkPageNumber: 280BookmarkBeginBookmarkTitle: 07.2 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.5BookmarkLevel: 2BookmarkPageNumber: 294BookmarkBeginBookmarkTitle: 08.1 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 8 PROBLEM REFORMULATIONSBookmarkLevel: 2BookmarkPageNumber: 306BookmarkBeginBookmarkTitle: 08.3 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 8.1BookmarkLevel: 2BookmarkPageNumber: 311BookmarkBeginBookmarkTitle: Figure 8.3aBookmarkLevel: 2BookmarkPageNumber: 326BookmarkBeginBookmarkTitle: 09.1 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 9 MULTIOBJECTIVE PROGRAMMINGBookmarkLevel: 2BookmarkPageNumber: 335BookmarkBeginBookmarkTitle: Figure 9.1aBookmarkLevel: 2BookmarkPageNumber: 339BookmarkBeginBookmarkTitle: Figure 9.1bBookmarkLevel: 2BookmarkPageNumber: 340BookmarkBeginBookmarkTitle: Figure 9.3BookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4aBookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4bBookmarkLevel: 2BookmarkPageNumber: 343BookmarkBeginBookmarkTitle: Figure 9.5aBookmarkLevel: 2BookmarkPageNumber: 344BookmarkBeginBookmarkTitle: Figure 9.5bBookmarkLevel: 2BookmarkPageNumber: 345BookmarkBeginBookmarkTitle: 09.2 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.6BookmarkLevel: 2BookmarkPageNumber: 350BookmarkBeginBookmarkTitle: 09.3 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.7BookmarkLevel: 2BookmarkPageNumber: 353BookmarkBeginBookmarkTitle: Figure 9.8BookmarkLevel: 2BookmarkPageNumber: 355BookmarkBeginBookmarkTitle: 11 Subject Index.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: SUBJECT INDEXBookmarkLevel: 2BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: ABookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: BBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: CBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: DBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: EBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: FBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: GBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: HBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: IBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: LBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: MBookmarkLevel: 3BookmarkPageNumber: 389BookmarkBeginBookmarkTitle: NBookmarkLevel: 3BookmarkPageNumber: 389BookmarkBeginBookmarkTitle: OBookmarkLevel: 3BookmarkPageNumber: 389BookmarkBeginBookmarkTitle: PBookmarkLevel: 3BookmarkPageNumber: 389BookmarkBeginBookmarkTitle: QBookmarkLevel: 3BookmarkPageNumber: 389BookmarkBeginBookmarkTitle: RBookmarkLevel: 3BookmarkPageNumber: 389BookmarkBeginBookmarkTitle: SBookmarkLevel: 3BookmarkPageNumber: 390BookmarkBeginBookmarkTitle: TBookmarkLevel: 3BookmarkPageNumber: 390BookmarkBeginBookmarkTitle: UBookmarkLevel: 3BookmarkPageNumber: 390BookmarkBeginBookmarkTitle: VBookmarkLevel: 3BookmarkPageNumber: 390BookmarkBeginBookmarkTitle: WBookmarkLevel: 3BookmarkPageNumber: 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BookmarkLevel: 6BookmarkPageNumber: 46BookmarkBeginBookmarkTitle:BookmarkLevel: 7BookmarkPageNumber: 46BookmarkBeginBookmarkTitle:BookmarkLevel: 8BookmarkPageNumber: 46BookmarkBeginBookmarkTitle: Figure B.2BookmarkLevel: 9BookmarkPageNumber: 46BookmarkBeginBookmarkTitle: 0B.2 Computational Complexity.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: B.2 Examples of Time Complexity FunctionsBookmarkLevel: 2BookmarkPageNumber: 49BookmarkBeginBookmarkTitle: 0B.3 Computational Complexity.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: B.3 Classes of Problems and Their RelationsBookmarkLevel: 2BookmarkPageNumber: 53BookmarkBeginBookmarkTitle: 01.5 Introduction.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 1.1BookmarkLevel: 2BookmarkPageNumber: 72BookmarkBeginBookmarkTitle: 02.3 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.1BookmarkLevel: 2BookmarkPageNumber: 89BookmarkBeginBookmarkTitle: Figure 2.2BookmarkLevel: 2BookmarkPageNumber: 91BookmarkBeginBookmarkTitle: 02.7 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.3BookmarkLevel: 2BookmarkPageNumber: 101BookmarkBeginBookmarkTitle: 02.8 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.4BookmarkLevel: 2BookmarkPageNumber: 104BookmarkBeginBookmarkTitle: Figure 2.5BookmarkLevel: 2BookmarkPageNumber: 106BookmarkBeginBookmarkTitle: Figure 2.6BookmarkLevel: 2BookmarkPageNumber: 107BookmarkBeginBookmarkTitle: 02.10 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.7BookmarkLevel: 2BookmarkPageNumber: 120BookmarkBeginBookmarkTitle: Figure 2.8BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: Figure 2.9BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: 03.1 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.1BookmarkLevel: 2BookmarkPageNumber: 142BookmarkBeginBookmarkTitle: Figure 3.2BookmarkLevel: 2BookmarkPageNumber: 143BookmarkBeginBookmarkTitle: Figure 3.5BookmarkLevel: 2BookmarkPageNumber: 148BookmarkBeginBookmarkTitle: Figure 3.6BookmarkLevel: 2BookmarkPageNumber: 149BookmarkBeginBookmarkTitle: Figure 3.7BookmarkLevel: 2BookmarkPageNumber: 151BookmarkBeginBookmarkTitle: Figure 3.8BookmarkLevel: 2BookmarkPageNumber: 152BookmarkBeginBookmarkTitle: 03.2 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.10BookmarkLevel: 2BookmarkPageNumber: 154BookmarkBeginBookmarkTitle: Figure 3.11bBookmarkLevel: 2BookmarkPageNumber: 159BookmarkBeginBookmarkTitle: 03.3 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.12BookmarkLevel: 2BookmarkPageNumber: 164BookmarkBeginBookmarkTitle: Figure 3.13BookmarkLevel: 2BookmarkPageNumber: 170BookmarkBeginBookmarkTitle: 04.1 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Chapter 4 DUALITYBookmarkLevel: 2BookmarkPageNumber: 178BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1aBookmarkLevel: 4BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1bBookmarkLevel: 4BookmarkPageNumber: 187BookmarkBeginBookmarkTitle: Dual problem PDBookmarkLevel: 2BookmarkPageNumber: 189BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 191BookmarkBeginBookmarkTitle:BookmarkLevel: 4BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2aBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2bBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.3aBookmarkLevel: 5BookmarkPageNumber: 192BookmarkBeginBookmarkTitle: 04.2 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 4.4aBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.4bBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.5BookmarkLevel: 2BookmarkPageNumber: 198BookmarkBeginBookmarkTitle: Figure 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Table 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Figure 4.7aBookmarkLevel: 3BookmarkPageNumber: 201BookmarkBeginBookmarkTitle: Figure 4.7bBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7cBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7dBookmarkLevel: 3BookmarkPageNumber: 203BookmarkBeginBookmarkTitle: Figure 4.7eBookmarkLevel: 3BookmarkPageNumber: 204BookmarkBeginBookmarkTitle: Figure 4.7gBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7hBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7iBookmarkLevel: 3BookmarkPageNumber: 206BookmarkBeginBookmarkTitle: Figure 4.7jBookmarkLevel: 3BookmarkPageNumber: 207BookmarkBeginBookmarkTitle: Figure 4.7kBookmarkLevel: 4BookmarkPageNumber: 208BookmarkBeginBookmarkTitle: 05.1 Extensions of the Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 5.1BookmarkLevel: 2BookmarkPageNumber: 216BookmarkBeginBookmarkTitle: Figure. 5.2BookmarkLevel: 3BookmarkPageNumber: 221BookmarkBeginBookmarkTitle: 06.1 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.1BookmarkLevel: 2BookmarkPageNumber: 237BookmarkBeginBookmarkTitle: Figure 6.4BookmarkLevel: 2BookmarkPageNumber: 242BookmarkBeginBookmarkTitle: 06.2 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.5BookmarkLevel: 2BookmarkPageNumber: 248BookmarkBeginBookmarkTitle: 06.4 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.6BookmarkLevel: 2BookmarkPageNumber: 255BookmarkBeginBookmarkTitle: 06.5 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.7BookmarkLevel: 2BookmarkPageNumber: 259BookmarkBeginBookmarkTitle: 07.1 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.1BookmarkLevel: 2BookmarkPageNumber: 274BookmarkBeginBookmarkTitle: Figure 7.2BookmarkLevel: 2BookmarkPageNumber: 277BookmarkBeginBookmarkTitle: Figure 7.3BookmarkLevel: 2BookmarkPageNumber: 278BookmarkBeginBookmarkTitle: Figure 7.4BookmarkLevel: 2BookmarkPageNumber: 280BookmarkBeginBookmarkTitle: 07.2 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.5BookmarkLevel: 2BookmarkPageNumber: 294BookmarkBeginBookmarkTitle: 08.1 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 8 PROBLEM REFORMULATIONSBookmarkLevel: 2BookmarkPageNumber: 306BookmarkBeginBookmarkTitle: 08.3 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 8.1BookmarkLevel: 2BookmarkPageNumber: 311BookmarkBeginBookmarkTitle: Figure 8.3aBookmarkLevel: 2BookmarkPageNumber: 326BookmarkBeginBookmarkTitle: 09.1 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 9 MULTIOBJECTIVE PROGRAMMINGBookmarkLevel: 2BookmarkPageNumber: 335BookmarkBeginBookmarkTitle: Figure 9.1aBookmarkLevel: 2BookmarkPageNumber: 339BookmarkBeginBookmarkTitle: Figure 9.1bBookmarkLevel: 2BookmarkPageNumber: 340BookmarkBeginBookmarkTitle: Figure 9.3BookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4aBookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4bBookmarkLevel: 2BookmarkPageNumber: 343BookmarkBeginBookmarkTitle: Figure 9.5aBookmarkLevel: 2BookmarkPageNumber: 344BookmarkBeginBookmarkTitle: Figure 9.5bBookmarkLevel: 2BookmarkPageNumber: 345BookmarkBeginBookmarkTitle: 09.2 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.6BookmarkLevel: 2BookmarkPageNumber: 350BookmarkBeginBookmarkTitle: 09.3 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.7BookmarkLevel: 2BookmarkPageNumber: 353BookmarkBeginBookmarkTitle: Figure 9.8BookmarkLevel: 2BookmarkPageNumber: 355BookmarkBeginBookmarkTitle: 11 Subject Index.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: SUBJECT INDEXBookmarkLevel: 2BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: ABookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: BBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: CBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: DBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: EBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: FBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: GBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: HBookmarkLevel: 3BookmarkPageNumber: 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BookmarkLevel: 7BookmarkPageNumber: 46BookmarkBeginBookmarkTitle:BookmarkLevel: 8BookmarkPageNumber: 46BookmarkBeginBookmarkTitle: Figure B.2BookmarkLevel: 9BookmarkPageNumber: 46BookmarkBeginBookmarkTitle: 0B.2 Computational Complexity.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: B.2 Examples of Time Complexity FunctionsBookmarkLevel: 2BookmarkPageNumber: 49BookmarkBeginBookmarkTitle: 0B.3 Computational Complexity.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: B.3 Classes of Problems and Their RelationsBookmarkLevel: 2BookmarkPageNumber: 53BookmarkBeginBookmarkTitle: 01.5 Introduction.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 1.1BookmarkLevel: 2BookmarkPageNumber: 72BookmarkBeginBookmarkTitle: 02.3 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.1BookmarkLevel: 2BookmarkPageNumber: 89BookmarkBeginBookmarkTitle: Figure 2.2BookmarkLevel: 2BookmarkPageNumber: 91BookmarkBeginBookmarkTitle: 02.7 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.3BookmarkLevel: 2BookmarkPageNumber: 101BookmarkBeginBookmarkTitle: 02.8 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.4BookmarkLevel: 2BookmarkPageNumber: 104BookmarkBeginBookmarkTitle: Figure 2.5BookmarkLevel: 2BookmarkPageNumber: 106BookmarkBeginBookmarkTitle: Figure 2.6BookmarkLevel: 2BookmarkPageNumber: 107BookmarkBeginBookmarkTitle: 02.10 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.7BookmarkLevel: 2BookmarkPageNumber: 120BookmarkBeginBookmarkTitle: Figure 2.8BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: Figure 2.9BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: 03.1 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.1BookmarkLevel: 2BookmarkPageNumber: 142BookmarkBeginBookmarkTitle: Figure 3.2BookmarkLevel: 2BookmarkPageNumber: 143BookmarkBeginBookmarkTitle: Figure 3.5BookmarkLevel: 2BookmarkPageNumber: 148BookmarkBeginBookmarkTitle: Figure 3.6BookmarkLevel: 2BookmarkPageNumber: 149BookmarkBeginBookmarkTitle: Figure 3.7BookmarkLevel: 2BookmarkPageNumber: 151BookmarkBeginBookmarkTitle: Figure 3.8BookmarkLevel: 2BookmarkPageNumber: 152BookmarkBeginBookmarkTitle: 03.2 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.10BookmarkLevel: 2BookmarkPageNumber: 154BookmarkBeginBookmarkTitle: Figure 3.11bBookmarkLevel: 2BookmarkPageNumber: 159BookmarkBeginBookmarkTitle: 03.3 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.12BookmarkLevel: 2BookmarkPageNumber: 164BookmarkBeginBookmarkTitle: Figure 3.13BookmarkLevel: 2BookmarkPageNumber: 170BookmarkBeginBookmarkTitle: 04.1 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Chapter 4 DUALITYBookmarkLevel: 2BookmarkPageNumber: 178BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1aBookmarkLevel: 4BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1bBookmarkLevel: 4BookmarkPageNumber: 187BookmarkBeginBookmarkTitle: Dual problem PDBookmarkLevel: 2BookmarkPageNumber: 189BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 191BookmarkBeginBookmarkTitle:BookmarkLevel: 4BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2aBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2bBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.3aBookmarkLevel: 5BookmarkPageNumber: 192BookmarkBeginBookmarkTitle: 04.2 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 4.4aBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.4bBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.5BookmarkLevel: 2BookmarkPageNumber: 198BookmarkBeginBookmarkTitle: Figure 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Table 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Figure 4.7aBookmarkLevel: 3BookmarkPageNumber: 201BookmarkBeginBookmarkTitle: Figure 4.7bBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7cBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7dBookmarkLevel: 3BookmarkPageNumber: 203BookmarkBeginBookmarkTitle: Figure 4.7eBookmarkLevel: 3BookmarkPageNumber: 204BookmarkBeginBookmarkTitle: Figure 4.7gBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7hBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7iBookmarkLevel: 3BookmarkPageNumber: 206BookmarkBeginBookmarkTitle: Figure 4.7jBookmarkLevel: 3BookmarkPageNumber: 207BookmarkBeginBookmarkTitle: Figure 4.7kBookmarkLevel: 4BookmarkPageNumber: 208BookmarkBeginBookmarkTitle: 05.1 Extensions of the Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 5.1BookmarkLevel: 2BookmarkPageNumber: 216BookmarkBeginBookmarkTitle: Figure. 5.2BookmarkLevel: 3BookmarkPageNumber: 221BookmarkBeginBookmarkTitle: 06.1 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.1BookmarkLevel: 2BookmarkPageNumber: 237BookmarkBeginBookmarkTitle: Figure 6.4BookmarkLevel: 2BookmarkPageNumber: 242BookmarkBeginBookmarkTitle: 06.2 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.5BookmarkLevel: 2BookmarkPageNumber: 248BookmarkBeginBookmarkTitle: 06.4 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.6BookmarkLevel: 2BookmarkPageNumber: 255BookmarkBeginBookmarkTitle: 06.5 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.7BookmarkLevel: 2BookmarkPageNumber: 259BookmarkBeginBookmarkTitle: 07.1 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.1BookmarkLevel: 2BookmarkPageNumber: 274BookmarkBeginBookmarkTitle: Figure 7.2BookmarkLevel: 2BookmarkPageNumber: 277BookmarkBeginBookmarkTitle: Figure 7.3BookmarkLevel: 2BookmarkPageNumber: 278BookmarkBeginBookmarkTitle: Figure 7.4BookmarkLevel: 2BookmarkPageNumber: 280BookmarkBeginBookmarkTitle: 07.2 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.5BookmarkLevel: 2BookmarkPageNumber: 294BookmarkBeginBookmarkTitle: 08.1 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 8 PROBLEM REFORMULATIONSBookmarkLevel: 2BookmarkPageNumber: 306BookmarkBeginBookmarkTitle: 08.3 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 8.1BookmarkLevel: 2BookmarkPageNumber: 311BookmarkBeginBookmarkTitle: Figure 8.3aBookmarkLevel: 2BookmarkPageNumber: 326BookmarkBeginBookmarkTitle: 09.1 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 9 MULTIOBJECTIVE PROGRAMMINGBookmarkLevel: 2BookmarkPageNumber: 335BookmarkBeginBookmarkTitle: Figure 9.1aBookmarkLevel: 2BookmarkPageNumber: 339BookmarkBeginBookmarkTitle: Figure 9.1bBookmarkLevel: 2BookmarkPageNumber: 340BookmarkBeginBookmarkTitle: Figure 9.3BookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4aBookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4bBookmarkLevel: 2BookmarkPageNumber: 343BookmarkBeginBookmarkTitle: Figure 9.5aBookmarkLevel: 2BookmarkPageNumber: 344BookmarkBeginBookmarkTitle: Figure 9.5bBookmarkLevel: 2BookmarkPageNumber: 345BookmarkBeginBookmarkTitle: 09.2 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.6BookmarkLevel: 2BookmarkPageNumber: 350BookmarkBeginBookmarkTitle: 09.3 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.7BookmarkLevel: 2BookmarkPageNumber: 353BookmarkBeginBookmarkTitle: Figure 9.8BookmarkLevel: 2BookmarkPageNumber: 355BookmarkBeginBookmarkTitle: 11 Subject Index.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: SUBJECT INDEXBookmarkLevel: 2BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: ABookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: BBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: CBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: DBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: EBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: FBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: GBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: HBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: 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BookmarkLevel: 8BookmarkPageNumber: 46BookmarkBeginBookmarkTitle: Figure B.2BookmarkLevel: 9BookmarkPageNumber: 46BookmarkBeginBookmarkTitle: 0B.2 Computational Complexity.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: B.2 Examples of Time Complexity FunctionsBookmarkLevel: 2BookmarkPageNumber: 49BookmarkBeginBookmarkTitle: 0B.3 Computational Complexity.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: B.3 Classes of Problems and Their RelationsBookmarkLevel: 2BookmarkPageNumber: 53BookmarkBeginBookmarkTitle: 01.5 Introduction.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 1.1BookmarkLevel: 2BookmarkPageNumber: 72BookmarkBeginBookmarkTitle: 02.3 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.1BookmarkLevel: 2BookmarkPageNumber: 89BookmarkBeginBookmarkTitle: Figure 2.2BookmarkLevel: 2BookmarkPageNumber: 91BookmarkBeginBookmarkTitle: 02.7 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.3BookmarkLevel: 2BookmarkPageNumber: 101BookmarkBeginBookmarkTitle: 02.8 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.4BookmarkLevel: 2BookmarkPageNumber: 104BookmarkBeginBookmarkTitle: Figure 2.5BookmarkLevel: 2BookmarkPageNumber: 106BookmarkBeginBookmarkTitle: Figure 2.6BookmarkLevel: 2BookmarkPageNumber: 107BookmarkBeginBookmarkTitle: 02.10 Applications.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 2.7BookmarkLevel: 2BookmarkPageNumber: 120BookmarkBeginBookmarkTitle: Figure 2.8BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: Figure 2.9BookmarkLevel: 2BookmarkPageNumber: 121BookmarkBeginBookmarkTitle: 03.1 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.1BookmarkLevel: 2BookmarkPageNumber: 142BookmarkBeginBookmarkTitle: Figure 3.2BookmarkLevel: 2BookmarkPageNumber: 143BookmarkBeginBookmarkTitle: Figure 3.5BookmarkLevel: 2BookmarkPageNumber: 148BookmarkBeginBookmarkTitle: Figure 3.6BookmarkLevel: 2BookmarkPageNumber: 149BookmarkBeginBookmarkTitle: Figure 3.7BookmarkLevel: 2BookmarkPageNumber: 151BookmarkBeginBookmarkTitle: Figure 3.8BookmarkLevel: 2BookmarkPageNumber: 152BookmarkBeginBookmarkTitle: 03.2 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.10BookmarkLevel: 2BookmarkPageNumber: 154BookmarkBeginBookmarkTitle: Figure 3.11bBookmarkLevel: 2BookmarkPageNumber: 159BookmarkBeginBookmarkTitle: 03.3 The Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 3.12BookmarkLevel: 2BookmarkPageNumber: 164BookmarkBeginBookmarkTitle: Figure 3.13BookmarkLevel: 2BookmarkPageNumber: 170BookmarkBeginBookmarkTitle: 04.1 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Chapter 4 DUALITYBookmarkLevel: 2BookmarkPageNumber: 178BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1aBookmarkLevel: 4BookmarkPageNumber: 186BookmarkBeginBookmarkTitle: Figure 4.1bBookmarkLevel: 4BookmarkPageNumber: 187BookmarkBeginBookmarkTitle: Dual problem PDBookmarkLevel: 2BookmarkPageNumber: 189BookmarkBeginBookmarkTitle:BookmarkLevel: 3BookmarkPageNumber: 191BookmarkBeginBookmarkTitle:BookmarkLevel: 4BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2aBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2bBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.3aBookmarkLevel: 5BookmarkPageNumber: 192BookmarkBeginBookmarkTitle: 04.2 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 4.4aBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.4bBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.5BookmarkLevel: 2BookmarkPageNumber: 198BookmarkBeginBookmarkTitle: Figure 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Table 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Figure 4.7aBookmarkLevel: 3BookmarkPageNumber: 201BookmarkBeginBookmarkTitle: Figure 4.7bBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7cBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7dBookmarkLevel: 3BookmarkPageNumber: 203BookmarkBeginBookmarkTitle: Figure 4.7eBookmarkLevel: 3BookmarkPageNumber: 204BookmarkBeginBookmarkTitle: Figure 4.7gBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7hBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7iBookmarkLevel: 3BookmarkPageNumber: 206BookmarkBeginBookmarkTitle: Figure 4.7jBookmarkLevel: 3BookmarkPageNumber: 207BookmarkBeginBookmarkTitle: Figure 4.7kBookmarkLevel: 4BookmarkPageNumber: 208BookmarkBeginBookmarkTitle: 05.1 Extensions of the Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 5.1BookmarkLevel: 2BookmarkPageNumber: 216BookmarkBeginBookmarkTitle: Figure. 5.2BookmarkLevel: 3BookmarkPageNumber: 221BookmarkBeginBookmarkTitle: 06.1 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.1BookmarkLevel: 2BookmarkPageNumber: 237BookmarkBeginBookmarkTitle: Figure 6.4BookmarkLevel: 2BookmarkPageNumber: 242BookmarkBeginBookmarkTitle: 06.2 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.5BookmarkLevel: 2BookmarkPageNumber: 248BookmarkBeginBookmarkTitle: 06.4 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.6BookmarkLevel: 2BookmarkPageNumber: 255BookmarkBeginBookmarkTitle: 06.5 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.7BookmarkLevel: 2BookmarkPageNumber: 259BookmarkBeginBookmarkTitle: 07.1 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.1BookmarkLevel: 2BookmarkPageNumber: 274BookmarkBeginBookmarkTitle: Figure 7.2BookmarkLevel: 2BookmarkPageNumber: 277BookmarkBeginBookmarkTitle: Figure 7.3BookmarkLevel: 2BookmarkPageNumber: 278BookmarkBeginBookmarkTitle: Figure 7.4BookmarkLevel: 2BookmarkPageNumber: 280BookmarkBeginBookmarkTitle: 07.2 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.5BookmarkLevel: 2BookmarkPageNumber: 294BookmarkBeginBookmarkTitle: 08.1 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 8 PROBLEM REFORMULATIONSBookmarkLevel: 2BookmarkPageNumber: 306BookmarkBeginBookmarkTitle: 08.3 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 8.1BookmarkLevel: 2BookmarkPageNumber: 311BookmarkBeginBookmarkTitle: Figure 8.3aBookmarkLevel: 2BookmarkPageNumber: 326BookmarkBeginBookmarkTitle: 09.1 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 9 MULTIOBJECTIVE PROGRAMMINGBookmarkLevel: 2BookmarkPageNumber: 335BookmarkBeginBookmarkTitle: Figure 9.1aBookmarkLevel: 2BookmarkPageNumber: 339BookmarkBeginBookmarkTitle: Figure 9.1bBookmarkLevel: 2BookmarkPageNumber: 340BookmarkBeginBookmarkTitle: Figure 9.3BookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4aBookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4bBookmarkLevel: 2BookmarkPageNumber: 343BookmarkBeginBookmarkTitle: Figure 9.5aBookmarkLevel: 2BookmarkPageNumber: 344BookmarkBeginBookmarkTitle: Figure 9.5bBookmarkLevel: 2BookmarkPageNumber: 345BookmarkBeginBookmarkTitle: 09.2 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.6BookmarkLevel: 2BookmarkPageNumber: 350BookmarkBeginBookmarkTitle: 09.3 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.7BookmarkLevel: 2BookmarkPageNumber: 353BookmarkBeginBookmarkTitle: Figure 9.8BookmarkLevel: 2BookmarkPageNumber: 355BookmarkBeginBookmarkTitle: 11 Subject Index.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: SUBJECT INDEXBookmarkLevel: 2BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: ABookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: BBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: CBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: DBookmarkLevel: 3BookmarkPageNumber: 387BookmarkBeginBookmarkTitle: EBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: FBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: GBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: HBookmarkLevel: 3BookmarkPageNumber: 388BookmarkBeginBookmarkTitle: IBookmarkLevel: 3BookmarkPageNumber: 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Figure B.2

0B.2 Computational Complexity.pdf

B.2 Examples of Time Complexity Functions

0B.3 Computational Complexity.pdf

B.3 Classes of Problems and Their Relations

01.5 Introduction.pdf

Figure 1.1

02.3 Applications.pdf

Figure 2.1

Figure 2.2

02.7 Applications.pdf

Figure 2.3

02.8 Applications.pdf

Figure 2.4

Figure 2.5

Figure 2.6

02.10 Applications.pdf

Figure 2.7

Figure 2.8

Figure 2.9

03.1 The Simplex Method.pdf

Figure 3.1

Figure 3.2

Figure 3.5

Figure 3.6

Figure 3.7

Figure 3.8

03.2 The Simplex Method.pdf

Figure 3.10

Figure 3.11b

03.3 The Simplex Method.pdf

Figure 3.12

Figure 3.13

04.1 Duality Theory.pdf

Chapter 4 DUALITY

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1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 5.1BookmarkLevel: 2BookmarkPageNumber: 216BookmarkBeginBookmarkTitle: Figure. 5.2BookmarkLevel: 3BookmarkPageNumber: 221BookmarkBeginBookmarkTitle: 06.1 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.1BookmarkLevel: 2BookmarkPageNumber: 237BookmarkBeginBookmarkTitle: Figure 6.4BookmarkLevel: 2BookmarkPageNumber: 242BookmarkBeginBookmarkTitle: 06.2 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.5BookmarkLevel: 2BookmarkPageNumber: 248BookmarkBeginBookmarkTitle: 06.4 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.6BookmarkLevel: 2BookmarkPageNumber: 255BookmarkBeginBookmarkTitle: 06.5 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.7BookmarkLevel: 2BookmarkPageNumber: 259BookmarkBeginBookmarkTitle: 07.1 Non-Simplex Based 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09.1 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 9 MULTIOBJECTIVE PROGRAMMINGBookmarkLevel: 2BookmarkPageNumber: 335BookmarkBeginBookmarkTitle: Figure 9.1aBookmarkLevel: 2BookmarkPageNumber: 339BookmarkBeginBookmarkTitle: Figure 9.1bBookmarkLevel: 2BookmarkPageNumber: 340BookmarkBeginBookmarkTitle: Figure 9.3BookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4aBookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4bBookmarkLevel: 2BookmarkPageNumber: 343BookmarkBeginBookmarkTitle: Figure 9.5aBookmarkLevel: 2BookmarkPageNumber: 344BookmarkBeginBookmarkTitle: Figure 9.5bBookmarkLevel: 2BookmarkPageNumber: 345BookmarkBeginBookmarkTitle: 09.2 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.6BookmarkLevel: 2BookmarkPageNumber: 350BookmarkBeginBookmarkTitle: 09.3 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 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Figure 4.1a

Figure 4.1b

Dual problem PD

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BookmarkLevel: 4BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2aBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.2bBookmarkLevel: 5BookmarkPageNumber: 191BookmarkBeginBookmarkTitle: Figure 4.3aBookmarkLevel: 5BookmarkPageNumber: 192BookmarkBeginBookmarkTitle: 04.2 Duality Theory.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 4.4aBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.4bBookmarkLevel: 2BookmarkPageNumber: 193BookmarkBeginBookmarkTitle: Figure 4.5BookmarkLevel: 2BookmarkPageNumber: 198BookmarkBeginBookmarkTitle: Figure 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Table 4.6BookmarkLevel: 2BookmarkPageNumber: 199BookmarkBeginBookmarkTitle: Figure 4.7aBookmarkLevel: 3BookmarkPageNumber: 201BookmarkBeginBookmarkTitle: Figure 4.7bBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7cBookmarkLevel: 3BookmarkPageNumber: 202BookmarkBeginBookmarkTitle: Figure 4.7dBookmarkLevel: 3BookmarkPageNumber: 203BookmarkBeginBookmarkTitle: Figure 4.7eBookmarkLevel: 3BookmarkPageNumber: 204BookmarkBeginBookmarkTitle: Figure 4.7gBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7hBookmarkLevel: 3BookmarkPageNumber: 205BookmarkBeginBookmarkTitle: Figure 4.7iBookmarkLevel: 3BookmarkPageNumber: 206BookmarkBeginBookmarkTitle: Figure 4.7jBookmarkLevel: 3BookmarkPageNumber: 207BookmarkBeginBookmarkTitle: Figure 4.7kBookmarkLevel: 4BookmarkPageNumber: 208BookmarkBeginBookmarkTitle: 05.1 Extensions of the Simplex Method.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 5.1BookmarkLevel: 2BookmarkPageNumber: 216BookmarkBeginBookmarkTitle: Figure. 5.2BookmarkLevel: 3BookmarkPageNumber: 221BookmarkBeginBookmarkTitle: 06.1 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.1BookmarkLevel: 2BookmarkPageNumber: 237BookmarkBeginBookmarkTitle: Figure 6.4BookmarkLevel: 2BookmarkPageNumber: 242BookmarkBeginBookmarkTitle: 06.2 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.5BookmarkLevel: 2BookmarkPageNumber: 248BookmarkBeginBookmarkTitle: 06.4 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.6BookmarkLevel: 2BookmarkPageNumber: 255BookmarkBeginBookmarkTitle: 06.5 Postoptimality analyses.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 6.7BookmarkLevel: 2BookmarkPageNumber: 259BookmarkBeginBookmarkTitle: 07.1 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.1BookmarkLevel: 2BookmarkPageNumber: 274BookmarkBeginBookmarkTitle: Figure 7.2BookmarkLevel: 2BookmarkPageNumber: 277BookmarkBeginBookmarkTitle: Figure 7.3BookmarkLevel: 2BookmarkPageNumber: 278BookmarkBeginBookmarkTitle: Figure 7.4BookmarkLevel: 2BookmarkPageNumber: 280BookmarkBeginBookmarkTitle: 07.2 Non-Simplex Based Solution Methods.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 7.5BookmarkLevel: 2BookmarkPageNumber: 294BookmarkBeginBookmarkTitle: 08.1 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 8 PROBLEM REFORMULATIONSBookmarkLevel: 2BookmarkPageNumber: 306BookmarkBeginBookmarkTitle: 08.3 Reformulations.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 8.1BookmarkLevel: 2BookmarkPageNumber: 311BookmarkBeginBookmarkTitle: Figure 8.3aBookmarkLevel: 2BookmarkPageNumber: 326BookmarkBeginBookmarkTitle: 09.1 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: 9 MULTIOBJECTIVE PROGRAMMINGBookmarkLevel: 2BookmarkPageNumber: 335BookmarkBeginBookmarkTitle: Figure 9.1aBookmarkLevel: 2BookmarkPageNumber: 339BookmarkBeginBookmarkTitle: Figure 9.1bBookmarkLevel: 2BookmarkPageNumber: 340BookmarkBeginBookmarkTitle: Figure 9.3BookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4aBookmarkLevel: 2BookmarkPageNumber: 342BookmarkBeginBookmarkTitle: Figure 9.4bBookmarkLevel: 2BookmarkPageNumber: 343BookmarkBeginBookmarkTitle: Figure 9.5aBookmarkLevel: 2BookmarkPageNumber: 344BookmarkBeginBookmarkTitle: Figure 9.5bBookmarkLevel: 2BookmarkPageNumber: 345BookmarkBeginBookmarkTitle: 09.2 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.6BookmarkLevel: 2BookmarkPageNumber: 350BookmarkBeginBookmarkTitle: 09.3 Multiobjective Optimization.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: Figure 9.7BookmarkLevel: 2BookmarkPageNumber: 353BookmarkBeginBookmarkTitle: Figure 9.8BookmarkLevel: 2BookmarkPageNumber: 355BookmarkBeginBookmarkTitle: 11 Subject Index.pdfBookmarkLevel: 1BookmarkPageNumber: 1BookmarkBeginBookmarkTitle: SUBJECT INDEXBookmarkLevel: 2BookmarkPageNumber: 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Figure 4.2a

Figure 4.2b

Figure 4.3a

04.2 Duality Theory.pdf

Figure 4.4a

Figure 4.4b

Figure 4.5

Figure 4.6

Table 4.6

Figure 4.7a

Figure 4.7b

Figure 4.7c

Figure 4.7d

Figure 4.7e

Figure 4.7g

Figure 4.7h

Figure 4.7i

Figure 4.7j

Figure 4.7k

05.1 Extensions of the Simplex Method.pdf

Figure 5.1

Figure. 5.2

06.1 Postoptimality analyses.pdf

Figure 6.1

Figure 6.4

06.2 Postoptimality analyses.pdf

Figure 6.5

06.4 Postoptimality analyses.pdf

Figure 6.6

06.5 Postoptimality analyses.pdf

Figure 6.7

07.1 Non-Simplex Based Solution Methods.pdf

Figure 7.1

Figure 7.2

Figure 7.3

Figure 7.4

07.2 Non-Simplex Based Solution Methods.pdf

Figure 7.5

08.1 Reformulations.pdf

8 PROBLEM REFORMULATIONS

08.3 Reformulations.pdf

Figure 8.1

Figure 8.3a

09.1 Multiobjective Optimization.pdf

9 MULTIOBJECTIVE PROGRAMMING

Figure 9.1a

Figure 9.1b

Figure 9.3

Figure 9.4a

Figure 9.4b

Figure 9.5a

Figure 9.5b

09.2 Multiobjective Optimization.pdf

Figure 9.6

09.3 Multiobjective Optimization.pdf

Figure 9.7

Figure 9.8

11 Subject Index.pdf

SUBJECT INDEX

A

B

C

D

E

F

G

H

I

L

M

N

O

P

Q

R

S

T

U

V

W