Operations Research: a model-based approach
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2010
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 447 S. graph. Darst., Ill., Kt. |
| ISBN: | 9783642103254 |
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MARC
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Record in the Search Index
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| adam_text |
CONTENTS PREFACE VIL 1. INTRODUCTION TO OPERATIONS RESEARCH 1 1.1 THE
NATURE AND HISTORY OF OPERATIONS RESEARCH 1 1.2 THE MAIN ELEMENTS OF
OPERATIONS RESEARCH 4 1.3 THE MODELING PROCESS 9 2. LINEAR PROGRAMMING
13 2.1 INTRODUCTION TO LINEAR PROGRAMMING 13 2.2 APPLICATIONS OF LINEAR
PROGRAMMING 18 2.2.1 PRODUCTION PLANNING 18 2.2.2 DIET PROBLEMS 20 2.2.3
ALLOCATION PROBLEMS 28 2.2.4 EMPLOYEE SCHEDULING 32 2.2.5 DYNAMIC
PRODUCTION-INVENTORY MODELS 35 2.2.6 BLENDING PROBLEMS 39 2.2.7
TRANSPORTATION AND ASSIGNMENT PROBLEMS 43 EXERCISES 50 2.3 GRAPHICAL
REPRESENTATION AND SOLUTION 60 2.3.1 THE GRAPHICAL SOLUTION METHOD 60
2.3.2 SPECIAL CASES OF LINEAR PROGRAMMING PROBLEMS 70 EXERCISES 76 2.4
POSTOPTIMALITY ANALYSES 78 2.4.1 GRAPHICAL SENSITIVITY ANALYSES 78 2.4.2
ECONOMIC ANALYSIS OF AN OPTIMAL SOLUTION 92 EXERCISES 100 2.5 DUALITY
105 EXERCISES 112 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/997282266 DIGITALISIERT DURCH X CONTENTS 3.
MULTIOBJECTIVE PROGRAMMING 115 3.1 VECTOR OPTIMIZATION 116 3.2 SOLUTION
APPROACHES TO VECTOR OPTIMIZATION PROBLEMS 121 3.3 GOAL PROGRAMMING 124
EXERCISES 129 4. INTEGER PROGRAMMING 135 4.1 DEFINITIONS AND BASIC
CONCEPTS 135 4.2 APPLICATIONS OF INTEGER PROGRAMMING 140 4.2.1 CUTTING
STOCK PROBLEMS 142 4.2.2 DIET PROBLEMS REVISITED 146 4.2.3 LAND USE 148
4.2.4 MODELING FIXED CHARGES 150 4.2.5 WORKLOAD BALANCING 152 4.3
SOLUTION METHODS FOR INTEGER PROGRAMMING PROBLEMS 154 4.3.1 CUTTING
PLANE METHODS 154 4.3.2 BRANCH-AND-BOUND METHODS 155 4.3.3 HEURISTIC
METHODS 162 EXERCISES 165 5. NETWORK MODELS 177 5.1 DEFINITIONS AND
CONVENTIONS 177 5.2 NETWORK FLOW PROBLEMS 179 5.3 SHORTEST PATH PROBLEMS
189 5.4 SPANNING TREE PROBLEMS 198 5.5 ROUTING PROBLEMS 200 EXERCISES
205 6. LOCATION MODELS 217 6.1 THE MAJOR ELEMENTS OF LOCATION PROBLEMS
217 6.2 COVERING PROBLEMS 220 6.2.1 THE LOCATION SET COVERING PROBLEM
221 6.2.2 THE MAXIMAL COVERING LOCATION PROBLEM 227 6.3 CENTER PROBLEMS
230 6.3.1 1-CENTER PROBLEMS 231 6.3.2 /^-CENTER PROBLEMS 233 6.4 MEDIAN
PROBLEMS 235 6.4.1 MINISUM PROBLEMS IN THE PLANE 235 6.4.2 MINISUM
PROBLEMS IN NETWORKS 240 6.5 OTHER LOCATION PROBLEMS 244 EXERCISES 247
7. PROJECT NETWORKS 257 7. CONTENTS XI 7.3 PROJECT PLANNING WITH
RESOURCES 272 7.4 THE PERT METHOD 275 EXERCISES 280 8. MACHINE
SCHEDULING 287 8.1 BASIC CONCEPTS OF MACHINE SCHEDULING 288 8.2 SINGLE
MACHINE SCHEDULING 290 8.3 PARALLEL MACHINE SCHEDULING 294 8.4 DEDICATED
MACHINE SCHEDULING 297 EXERCISES 301 9. DECISION ANALYSIS 305 9.1
INTRODUCTION TO DECISION ANALYSIS 305 9.2 VISUALIZATIONS OF DECISION
PROBLEMS 307 9.3 DECISION RULES UNDER UNCERTAINTY AND RISK 310 9.4
SENSITIVITY ANALYSES 316 9.5 DECISION TREES AND THE VALUE OF INFORMATION
319 9.6 UTILITY THEORY 327 EXERCISES 328 10. INVENTORY MODELS 339 10.1
BASIC CONCEPTS IN INVENTORY PLANNING 339 10.2 THE ECONOMIC ORDER
QUANTITY (EOQ) MODEL 343 10.3 THE ECONOMIC ORDER QUANTITY WITH POSITIVE
LEAD TIME 346 10.4 THE ECONOMIC ORDER QUANTITY WITH BACKORDERS 349 10.5
THE ECONOMIC ORDER QUANTITY WITH QUANTITY DISCOUNTS 352 10.6 THE
PRODUCTION LOT SIZE MODEL 355 10.7 THE ECONOMIC ORDER QUANTITY WITH
STOCHASTIC LEAD TIME DEMAND 357 10.7.1 A MODEL THAT OPTIMIZES THE
REORDER POINT 359 10.7.2 A STOCHASTIC MODEL WITH SIMULTANEOUS
COMPUTATION OF ORDER QUANTITY AND REORDER POINT 360 10.8 EXTENSIONS OF
THE BASIC INVENTORY MODELS 362 EXERCISES 363 11. STOCHASTIC PROCESSES
AND MARKOV CHAINS 367 11. XII CONTENTS 13. SIMULATION 395 13.1
INTRODUCTION TO SIMULATION 395 13.2 RANDOM NUMBERS AND THEIR GENERATION
397 13.3 EXAMPLES OF SIMULATIONS 402 13.3.1 SIMULATION OF A WAITING LINE
SYSTEM 402 13.3.2 SIMULATION OF AN INVENTORY SYSTEM 405 EXERCISES 410
APPENDICES A. HEURISTIC ALGORITHMS 417 B. VECTORS AND MATRICES 427 C.
SYSTEMS OF SIMULTANEOUS LINEAR EQUATIONS 429 D. PROBABILITY AND
STATISTICS 433 REFERENCES 441 SUBJECT INDEX 443 |
| any_adam_object | 1 |
| author | Eiselt, Horst A. 1950- Sandblom, Carl-Louis |
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| author_role | aut aut |
| author_sort | Eiselt, Horst A. 1950- |
| author_variant | h a e ha hae c l s cls |
| building | Verbundindex |
| bvnumber | BV035842185 |
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| ctrlnum | (OCoLC)698891535 (DE-599)DNB997282266 |
| dewey-full | 658.4034 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 658 - General management |
| dewey-raw | 658.4034 |
| dewey-search | 658.4034 |
| dewey-sort | 3658.4034 |
| dewey-tens | 650 - Management and auxiliary services |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| isbn | 9783642103254 |
| language | English |
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| physical | XII, 447 S. graph. Darst., Ill., Kt. |
| publishDate | 2010 |
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| spelling | Eiselt, Horst A. 1950- Verfasser (DE-588)133413780 aut Operations Research a model-based approach H. A. Eiselt ; C.-L. Sandblom Berlin [u.a.] Springer 2010 XII, 447 S. graph. Darst., Ill., Kt. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Operations research Operations research Mathematical models Operations Research (DE-588)4043586-6 gnd rswk-swf Operations Research (DE-588)4043586-6 s b DE-604 Sandblom, Carl-Louis Verfasser (DE-588)170403823 aut Erscheint auch als Online-Ausgabe 10.1007/978-3-642-10326-1 978-3-642-10326-1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018700470&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eiselt, Horst A. 1950- Sandblom, Carl-Louis Operations Research a model-based approach Mathematisches Modell Operations research Operations research Mathematical models Operations Research (DE-588)4043586-6 gnd |
| subject_GND | (DE-588)4043586-6 |
| title | Operations Research a model-based approach |
| title_auth | Operations Research a model-based approach |
| title_exact_search | Operations Research a model-based approach |
| title_full | Operations Research a model-based approach H. A. Eiselt ; C.-L. Sandblom |
| title_fullStr | Operations Research a model-based approach H. A. Eiselt ; C.-L. Sandblom |
| title_full_unstemmed | Operations Research a model-based approach H. A. Eiselt ; C.-L. Sandblom |
| title_short | Operations Research |
| title_sort | operations research a model based approach |
| title_sub | a model-based approach |
| topic | Mathematisches Modell Operations research Operations research Mathematical models Operations Research (DE-588)4043586-6 gnd |
| topic_facet | Mathematisches Modell Operations research Operations research Mathematical models Operations Research |
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