Introduction to practical linear programming:
From finding the least-cost method for manufacturing a given product to determining the most profitable use for a given resource, there are countless practical applications for linear programming models. This self-contained book and disk set provides everything you need to know to apply linear progr...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
1997
|
| Schriftenreihe: | A Wiley-Interscience publication
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | From finding the least-cost method for manufacturing a given product to determining the most profitable use for a given resource, there are countless practical applications for linear programming models. This self-contained book and disk set provides everything you need to know to apply linear programming to real-world situations - how to prepare input, how to interpret output, what to do if the model will not solve, and how to make your results useful and usable - while entrusting the hard-core arithmetic to the user-friendly computer package on disk. Written in clear prose that stays away from the complex mathematics underlying the technique, Introduction to Practical Linear Programming contains a complete introduction to problem structure, assumptions, applications, and other core concepts; a detailed, step-by-step guide to model construction (from a problem description to a useful model) and interpretation of output; linear programming examples and exercises from a range of real-life areas, including agriculture, manufacturing, finance, and advertising; important techniques for troubleshooting and error identification; and procedures for testing how good your model is - how robust are the results? |
| Beschreibung: | XIII, 333 S. graph. Darst. Diskette (9 cm) |
| ISBN: | 0471517895 |
Internformat
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| 520 | 3 | |a From finding the least-cost method for manufacturing a given product to determining the most profitable use for a given resource, there are countless practical applications for linear programming models. This self-contained book and disk set provides everything you need to know to apply linear programming to real-world situations - how to prepare input, how to interpret output, what to do if the model will not solve, and how to make your results useful and usable - while entrusting the hard-core arithmetic to the user-friendly computer package on disk. Written in clear prose that stays away from the complex mathematics underlying the technique, Introduction to Practical Linear Programming contains a complete introduction to problem structure, assumptions, applications, and other core concepts; a detailed, step-by-step guide to model construction (from a problem description to a useful model) and interpretation of output; linear programming examples and exercises from a range of real-life areas, including agriculture, manufacturing, finance, and advertising; important techniques for troubleshooting and error identification; and procedures for testing how good your model is - how robust are the results? | |
| 650 | 4 | |a Calcul matriciel | |
| 650 | 4 | |a Incertitude | |
| 650 | 7 | |a Lineaire programmering |2 gtt | |
| 650 | 7 | |a Matrices |2 ram | |
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| 650 | 7 | |a Programmation linéaire |2 ram | |
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Datensatz im Suchindex
| _version_ | 1804125759310135296 |
|---|---|
| adam_text | CONTENTS
PREFACE xi
1. INTRODUCTION 1
1.1 Structure of a Linear Programming Problem / 2
1.2 Examples of Applications / 4
1.3 Assumptions of Linear Programming / 4
1.4 Stages in Applying Linear Programming / 6
1.5 Key Points / 8
2. GRAPHICAL SOLUTION OF LINEAR PROGRAMMING 9
2.1 A Maximization Example / 9
2.2 A Minimization Example / 21
2.3 Limitations of the Graphical Approach / 23
2.4 Key Points / 23
Exercises / 23
3. INTRODUCTION TO MATRIX CONSTRUCTION 27
3.1 Structure of a Linear Programming Matrix / 27
3.2 Specifying the Objective Function / 29
3.3 Setting the Maximum Level of a Factor / 30
3.4 Setting the Minimum Level of a Factor / 36
3.5 Setting the Exact Level of a Factor / 39
vii
Vih CONTENTS
3.6 Setting the Level of an Activity / 42
3.7 The Importance of Units of Measurement / 43
3.8 A Suggested Strategy for Matrix Building / 46
3.9 Key Points / 46
4. INTERPRETING MAIN OUTPUT 48
4.1 Objective Function Value / 48
4.2 Activity Levels / 49
4.3 Activity Shadow Costs / 49
4.4 Constraint Slacks / 55
4.5 Constraint Shadow Prices / 60
4.6 The Effect of Different Units / 69
4.7 Key Points / 72
5. EXAMPLES AND EXERCISES 73
5.1 Crop Selection / 73
5.2 Musical Instrument Manufacture / 78
5.3 Breakfast Cereal Manufacture / 81
5.4 Feed Formulation / 85
5.5 Labor Scheduling / 89
Exercises / 93
6. NEGATIVE COEFFICIENTS AND NEGATIVE
FACTOR LEVELS 101
6.1 Linking Activities / 101
6.2 Transfer Rows / 108
6.3 Negative Factor Levels / 120
6.4 Key Points / 126
7. SPECIAL TECHNIQUES 128
7.1 Representing Curves / 128
7.2 Multiperiod Models / 144
7.3 Multiregion Models / 149
7.4 Indivisible Activities / 154
7.5 Excluding Groups of Activities / 155
7.6 The Dual / 155
7.7 Key Points / 158
CONTENTS JX
8. MORE EXAMPLES AND EXERCISES 159
8.1 Scheduling Manufacture of Machine Components / 159
8.2 A Shortest Route Problem / 163
8.3 A Maximum Flow Problem / 167
8.4 A Transportation Problem / 171
8.5 Frequency of Advertising / 173
8.6 Investment Planning / 175
Exercises / 179
9. INTERPRETING RANGE ANALYSIS OUTPUT 188
9.1 Range Analysis for Activities / 189
9.2 Range Analysis for Constraints / 191
9.3 The Effect of Different Units / 192
9.4 Key Points / 194
Exercises / 195
10. SOME COMPLICATIONS 200
10.1 No Feasible Solution / 200
10.2 Unboundedness / 202
10.3 Multiple Optimal Solutions / 205
10.4 Degenerate Solutions / 211
10.5 Rounding Errors / 217
10.6 Key Points / 218
Exercises / 220
11. DEBUGGING YOUR MODEL 222
11.1 Guiding Principles for Debugging / 223
11.2 Symptoms of Bugs / 226
11.3 Types of Bugs / 227
11.4 Strategies for Debugging / 227
11.5 Strategies for Preventing Bugs / 240
11.6 Concluding Comments / 242
11.7 Key Points / 243
12. SENSITIVITY ANALYSIS 244
12.1 Uses of Sensitivity Analysis / 245
12.2 Approaches to Sensitivity Analysis / 249
X CONTENTS
12.3 Analysis and Communication of Sensitivity Analysis
Results / 253
12.4 An Overall Strategy for Sensitivity Analysis / 269
12.5 Concluding Comments / 271
12.6 Key Points / 271
13. REPRESENTING RISK AND UNCERTAINTY 272
13.1 Representing Probabilities of Different Outcomes / 272
13.2 Selecting Flexible Strategies / 275
13.3 Weighting Bad Outcomes More Highly than Good
Outcomes / 281
13.4 Other Issues / 285
13.5 Key Points / 286
Exercises / 286
14. FURTHER PRACTICAL ISSUES 288
14.1 Having an Impact / 288
14.2 Strengths of Linear Programming / 290
14.3 Weaknesses of Linear Programming / 293
14.4 Concluding Comments / 294
APPENDIX: SOLUTIONS TO EXERCISES 295
GLOSSARY 315
REFERENCES 323
ABOUT THE SOFTWARE 329
INDEX 331
|
| any_adam_object | 1 |
| author | Pannell, David J. 1960- |
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| bvnumber | BV011256553 |
| callnumber-first | T - Technology |
| callnumber-label | T57 |
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| callnumber-subject | T - General Technology |
| classification_rvk | SK 870 |
| ctrlnum | (OCoLC)605896366 (DE-599)BVBBV011256553 |
| dewey-full | 658.4/033 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 658 - General management |
| dewey-raw | 658.4/033 |
| dewey-search | 658.4/033 |
| dewey-sort | 3658.4 233 |
| dewey-tens | 650 - Management and auxiliary services |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV011256553 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:06:40Z |
| institution | BVB |
| isbn | 0471517895 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007556589 |
| oclc_num | 605896366 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | XIII, 333 S. graph. Darst. Diskette (9 cm) |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Wiley |
| record_format | marc |
| series2 | A Wiley-Interscience publication |
| spelling | Pannell, David J. 1960- Verfasser (DE-588)133340805 aut Introduction to practical linear programming David J. Pannell New York [u.a.] Wiley 1997 XIII, 333 S. graph. Darst. Diskette (9 cm) txt rdacontent n rdamedia nc rdacarrier A Wiley-Interscience publication From finding the least-cost method for manufacturing a given product to determining the most profitable use for a given resource, there are countless practical applications for linear programming models. This self-contained book and disk set provides everything you need to know to apply linear programming to real-world situations - how to prepare input, how to interpret output, what to do if the model will not solve, and how to make your results useful and usable - while entrusting the hard-core arithmetic to the user-friendly computer package on disk. Written in clear prose that stays away from the complex mathematics underlying the technique, Introduction to Practical Linear Programming contains a complete introduction to problem structure, assumptions, applications, and other core concepts; a detailed, step-by-step guide to model construction (from a problem description to a useful model) and interpretation of output; linear programming examples and exercises from a range of real-life areas, including agriculture, manufacturing, finance, and advertising; important techniques for troubleshooting and error identification; and procedures for testing how good your model is - how robust are the results? Calcul matriciel Incertitude Lineaire programmering gtt Matrices ram Programmation linéaire - Problèmes et exercices ram Programmation linéaire ram Risque Toepassingen gtt Linear programming Lineare Optimierung (DE-588)4035816-1 gnd rswk-swf Lineare Optimierung (DE-588)4035816-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007556589&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pannell, David J. 1960- Introduction to practical linear programming Calcul matriciel Incertitude Lineaire programmering gtt Matrices ram Programmation linéaire - Problèmes et exercices ram Programmation linéaire ram Risque Toepassingen gtt Linear programming Lineare Optimierung (DE-588)4035816-1 gnd |
| subject_GND | (DE-588)4035816-1 |
| title | Introduction to practical linear programming |
| title_auth | Introduction to practical linear programming |
| title_exact_search | Introduction to practical linear programming |
| title_full | Introduction to practical linear programming David J. Pannell |
| title_fullStr | Introduction to practical linear programming David J. Pannell |
| title_full_unstemmed | Introduction to practical linear programming David J. Pannell |
| title_short | Introduction to practical linear programming |
| title_sort | introduction to practical linear programming |
| topic | Calcul matriciel Incertitude Lineaire programmering gtt Matrices ram Programmation linéaire - Problèmes et exercices ram Programmation linéaire ram Risque Toepassingen gtt Linear programming Lineare Optimierung (DE-588)4035816-1 gnd |
| topic_facet | Calcul matriciel Incertitude Lineaire programmering Matrices Programmation linéaire - Problèmes et exercices Programmation linéaire Risque Toepassingen Linear programming Lineare Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007556589&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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