Linear and integer programming made easy:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
[Cham, Schweiz]
Springer
[2016]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | x, 143 Seiten Diagramme |
| ISBN: | 9783319239996 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804176690198347776 |
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| adam_text | Contents
1 Preliminaries.................................................... 1
1.1 Matrix Properties ............................................ 1
1.2 Solving Simultaneous Equations................................ 3
Gaussian Elimination.......................................... 4
The Gauss-Jordan Method....................................... 4
1.3 Inverse of a Matrix......................................... 6
1.4 Matrix Multiplication......................................... 8
1.5 Exercises..................................................... 9
2 Introduction..................................................... 13
2.1 Linear Programming......................................... 13
2.2 Ratio Method................................................. 18
2.3 Exercises.................................................... 27
3 Dimension of the Solution Space.................................. 29
3.1 Solution Spaces.............................................. 29
3.2 Convex Sets and Convex Functions............................. 31
3.3 Geometric Interpretation of Linear Programs.................. 34
3.4 Theorem of Separating Hyperplanes............................ 35
3.5 Exercises.................................................... 37
4 Introduction to the Simplex Method............................... 39
4.1 Equivalent Formulations.................................... 39
4.2 Basic, Feasible, and Optimum Solutions ...................... 41
4.3 Examples of Linear Programs.................................. 44
4.4 Pivot Operation. ............................................ 46
4.5 Simplex Method............................................... 47
4.6 Review and Simplex Tableau................................... 51
4.7 Linear Programs in Matrix Notation........................... 55
4.8 Economic Interpretation of the Simplex Method................ 56
4.9 Summary of the Simplex Method................................ 57
4.10 Exercises.................................................... 57
IX
X
Contents
5 Duality and Complementary Slackness ......................... 61
5.1 Primal and Dual Programs.................................. 61
5.2 Duality and Complementary Slackness....................... 63
5.3 Economic and Geometric Interpretation..................... 65
5.4 Dual Simplex Method..................................... . 66
5.5 Exercises................................................. 71
6 Revised Simplex Method....................................... 73
6.1 Revised Simplex Method ................................... 73
6.2 Simplified Calculation.................................... 79
7 Column Generating Technique.................................. 81
8 The Knapsack Problem.......................................... 87
8.1 Introduction............................................ 87
8.2 Landa’s Algorithm....................................... 93
High-Level Description of Landa’s Algorithm.............. 101
8.3 Exercises.............................................. 101
9 Asymptotic Algorithms......................................... 103
9.1 Solving Integer Programs................................. 103
9.2 Exercises.............................................. 112
10 The World Map of Integer Programs............................. 113
11 Linear and Integer Programming in Practice.................. 117
11.1 Formulating a Real-World Problem......................... 117
11.2 Tips and Tricks for Expressing Linear
and Integer Programs................................... 121
Linear Programming....................................... 121
Integer Linear Programming............................... 124
11.3 Using Modem Linear and Integer Programming Solvers....... 128
Appendix: The Branch and Bound Method
of Integer Programming......................................... 131
Epilogue......................................................... 133
References......................................................... 137
Index
141
|
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| indexdate | 2024-07-10T07:36:11Z |
| institution | BVB |
| isbn | 9783319239996 |
| language | English |
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| physical | x, 143 Seiten Diagramme |
| publishDate | 2016 |
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| spelling | Hu, Te Chiang Verfasser aut Linear and integer programming made easy T.C. Hu, Andrew B. Kahng [Cham, Schweiz] Springer [2016] x, 143 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf Ganzzahlige Optimierung (DE-588)4155950-2 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Lineare Optimierung (DE-588)4035816-1 s Ganzzahlige Optimierung (DE-588)4155950-2 s DE-604 Kahng, Andrew B. 1963- Sonstige (DE-588)143791435 oth Digitalisierung UB Augsburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029240052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hu, Te Chiang Linear and integer programming made easy Lineare Optimierung (DE-588)4035816-1 gnd Ganzzahlige Optimierung (DE-588)4155950-2 gnd |
| subject_GND | (DE-588)4035816-1 (DE-588)4155950-2 (DE-588)4123623-3 |
| title | Linear and integer programming made easy |
| title_auth | Linear and integer programming made easy |
| title_exact_search | Linear and integer programming made easy |
| title_full | Linear and integer programming made easy T.C. Hu, Andrew B. Kahng |
| title_fullStr | Linear and integer programming made easy T.C. Hu, Andrew B. Kahng |
| title_full_unstemmed | Linear and integer programming made easy T.C. Hu, Andrew B. Kahng |
| title_short | Linear and integer programming made easy |
| title_sort | linear and integer programming made easy |
| topic | Lineare Optimierung (DE-588)4035816-1 gnd Ganzzahlige Optimierung (DE-588)4155950-2 gnd |
| topic_facet | Lineare Optimierung Ganzzahlige Optimierung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029240052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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