Operations Research: A Model-Based Approach
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer International Publishing
2022
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| Ausgabe: | third edition |
| Schriftenreihe: | Springer Texts in Business and Economics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 523 Seiten Diagramme |
| ISBN: | 9783030971618 |
Internformat
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Datensatz im Suchindex
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| adam_text | Contents 1 Introduction to Operations Research.................................................... 1.1 The Nature and History of Operations Research......................... 1.2 The Main Elements of Operations Research................................ 1.3 The Modeling Process.................................................................... Reference..................................................................................................... 1 1 4 10 13 2 Linear Programming................................................................................ 2.1 Introduction to Linear Programming.............................................. 2.2 Applications of Linear Programming............................................. 2.2.1 Production Planning.......................................................... 2.2.2 Diet Problems.................................................................... 2.2.3 Allocation Problems.......................................................... 2.2.4 Blending Problems............................................................ 2.2.5 Transportation and Assignment Problems...................... 2.2.6 Dynamic Production-Inventory Models.......................... 2.2.7 Employee Scheduling....................................................... 2.2.8 Cutting Stock Problems.................................................... 2.3 Graphical Representation and Solution.......................................... 2.3.1 The Graphical Solution Method...................................... 2.3.2 Special
Cases..................................................................... 2.4 Postoptimality Analyses................................................................... 2.4.1 Graphical Sensitivity Analyses........................................ 2.4.2 Optimal Solution and Sensitivity Analyses on a Printout...................................................................... 2.5 Duality............................................................................................... References.................................................................................................... 15 15 20 20 22 28 34 38 45 49 52 70 71 80 90 90 101 114 123 Multiobjective Programming.................................................................. 3.1 Vector Optimization........................................................................ 3.2 Solution Approaches to Vector Optimization Problems............. 3-3 Goal Programming.......................................................................... 125 126 131 133 3 xi
xii Contents 4 Nonlinear Programming.......................................................................... 4.1 Introduction....................................................................................... 4.2 Applications of Nonlinear Programming....................................... 4.2.1 Forestry Logging.............................................................. 4.2.2 Maximizing Tax Revenues.............................................. 4.2.3 Optimizing Inventory and Queuing Models................... 4.3 Properties of Nonlinear Programming Problems.......................... 4.4 Solution Methods for Nonlinear Optimization.............................. 4.4.1 Newton’s Method for Unconstrained Optimization . . . 4.4.2 Constrained Optimization................................................. References.................................................................................................... 143 143 146 146 147 148 149 152 153 154 159 5 Integer Linear Programming.................................................................. 5.1 Definitions and Basic Concepts..................................................... 5.2 Applications of Integer Programming........................................... 5.2.1 Diet Problems Revisited................................................... 5.2.2 Land Use............................................................................ 5.2.3 Modeling Fixed Charges................................................... 5.2.4 Workload Balancing.......................................................... 5.2.5 Political
Districting............................................................ 5.3 Solution Methods for Integer Programming Problems................. 5.3.1 Cutting Plane Methods...................................................... 5.3.2 Branch-and-Bound Methods............................................ 5.3.3 Heuristic Methods.............................................................. 161 162 170 172 174 175 179 181 183 183 188 194 6 Network Models......................................................................................... 6.1 Definitions and Conventions........................................................... 6.2 Social Network Analysis................................................................. 6.3 Network Flow Problems.................................................................. 6.4 Shortest Path Problems.................................................................... 6.5 Spanning Tree Problems.................................................................. 6.6 Routing Problems............................................................................. 6.6.1 Arc Routing Problems...................................................... 6.6.2 Node Routing Problems................................................... References.................................................................................................... 215 215 218 220 230 238 239 241 249 266 7 Location Models......................................................................................... 7.1 The Major Elements of Location Problems...................................
7.2 Covering Problems........................................................................... 7.2.1 The Location Set Covering Problem.............................. 7.2.2 The Maximal Covering LocationProblem...................... 7.3 Center Problems............................................................................... 7.3.1 1 -Center Problems............................................................ 7.3.2 p-Center Problems............................................................ 7.4 Median Problems.............................................................................. 7.4.1 Minisum Problems in the Plane...................................... 267 267 270 271 274 277 278 280 281 281
Contents xiii 7.4.2 Minisum Problems in Networks..................................... 7.5 Other Location Problems................................................................ References.................................................................................................... 285 290 302 8 Project Networks........................................................................................ 8.1 The Critical Path Method................................................................. 8.2 Project Acceleration......................................................................... 8.3 Project Planning with Resources..................................................... 8.4 The PERT Method............................................................................ Reference..................................................................................................... 303 304 312 317 320 332 9 Machine Scheduling................................................................................... 9.1 Basic Concepts of Machine Scheduling......................................... 9.2 Single-Machine Scheduling Models............................................... 9.3 Parallel Machine Scheduling Models............................................ 9.4 Dedicated Machine Scheduling Models......................................... Reference..................................................................................................... 333 334 336 340 345 352 10 Decision Analysis........................................................................................
10.1 Introduction to Decision Analysis................................................. 10.2 Visualizations of Decision Problems............................................. 10.3 Decision Rules Under Uncertainty and Risk................................ 10.4 Sensitivity Analyses........................................................................ 10.5 Decision Trees and the Value of Information.............................. 10.6 Utility Theory.................................................................................. 353 353 355 357 363 366 373 11 Multiattribute Decision Making............................................................. 11.1 The General Model and a Generic Solution Method.................... 11.2 TOPSIS............................................................................................. 11.3 The Analytic Hierarchy Process..................................................... References.................................................................................................... 385 385 390 391 399 12 Inventory Models...................................................................................... 12.1 Basic Concepts in Inventory Planning.......................................... 12.2 The Economic Order Quantity (EOQ) Model.............................. 12.3 The Economic Order Quantity with Positive Lead Time........... 12.4 The Economic Order Quantity with Backorders......................... 12.5 The Economic Order Quantity with Quantity Discounts............ 12.6 The Production Lot Size
Model.................................................... 12.7 The Economic Order Quantity with Stochastic Lead Time Demand............................................................................................ 12.7.1 A Model that Optimizes the Reorder Point.................... 12.7.2 A Stochastic Model with Simultaneous Computation of Order Quantity and Reorder Point... 12.8 Extensions of the Basic Inventory Models................................... Reference..................................................................................................... 401 401 404 407 410 412 414 417 418 419 420 424
xiv Contents 13 Stochastic Processes and Markov Chains............................................. 13.1 Basic Ideas and Concepts............................................................... 13.2 Steady-State Solutions.................................................................... 13.3 Decision Making with Markov Chains......................................... 425 425 430 431 14 Reliability Models...................................................................................... 14.1 Fundamentals of Reliability Systems............................................. 14.2 Time Aspects of Reliability............................................................ 14.3 Failure Rates and the Hazard Function.......................................... 14.4 Redundancy and Standby Systems................................................. 14.5 Estimating Reliability...................................................................... Reference..................................................................................................... 439 440 445 447 450 451 455 15 Waiting Line Models................................................................................. 15.1 Basic Queuing Models.................................................................... 15.2 Optimization in Queuing................................................................. 457 458 466 16 Simulation................................................................................................... 16.1 Introduction to Simulation.............................................................. 16.2
Random Numbers and Their Generation....................................... 16.3 Examples of Simulations................................................................ 16.3.1Simulation of a Waiting Line System................................. 16.3.2 Simulation of an Inventory System................................ References................................................................................................... 473 474 475 479 480 483 494 17 Heuristic Methods...................................................................................... Reference..................................................................................................... 495 504 Appendices.......................................................................................................... Appendix A: Vectors and Matrices........................................................... Appendix B: Systems of Simultaneous LinearEquations....................... Appendix C: Probability and Statistics..................................................... 505 505 506 509 References........................................................................................................... 515 Index.................................................................................................................... 517
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| adam_txt |
Contents 1 Introduction to Operations Research. 1.1 The Nature and History of Operations Research. 1.2 The Main Elements of Operations Research. 1.3 The Modeling Process. Reference. 1 1 4 10 13 2 Linear Programming. 2.1 Introduction to Linear Programming. 2.2 Applications of Linear Programming. 2.2.1 Production Planning. 2.2.2 Diet Problems. 2.2.3 Allocation Problems. 2.2.4 Blending Problems. 2.2.5 Transportation and Assignment Problems. 2.2.6 Dynamic Production-Inventory Models. 2.2.7 Employee Scheduling. 2.2.8 Cutting Stock Problems. 2.3 Graphical Representation and Solution. 2.3.1 The Graphical Solution Method. 2.3.2 Special
Cases. 2.4 Postoptimality Analyses. 2.4.1 Graphical Sensitivity Analyses. 2.4.2 Optimal Solution and Sensitivity Analyses on a Printout. 2.5 Duality. References. 15 15 20 20 22 28 34 38 45 49 52 70 71 80 90 90 101 114 123 Multiobjective Programming. 3.1 Vector Optimization. 3.2 Solution Approaches to Vector Optimization Problems. 3-3 Goal Programming. 125 126 131 133 3 xi
xii Contents 4 Nonlinear Programming. 4.1 Introduction. 4.2 Applications of Nonlinear Programming. 4.2.1 Forestry Logging. 4.2.2 Maximizing Tax Revenues. 4.2.3 Optimizing Inventory and Queuing Models. 4.3 Properties of Nonlinear Programming Problems. 4.4 Solution Methods for Nonlinear Optimization. 4.4.1 Newton’s Method for Unconstrained Optimization . . . 4.4.2 Constrained Optimization. References. 143 143 146 146 147 148 149 152 153 154 159 5 Integer Linear Programming. 5.1 Definitions and Basic Concepts. 5.2 Applications of Integer Programming. 5.2.1 Diet Problems Revisited. 5.2.2 Land Use. 5.2.3 Modeling Fixed Charges. 5.2.4 Workload Balancing. 5.2.5 Political
Districting. 5.3 Solution Methods for Integer Programming Problems. 5.3.1 Cutting Plane Methods. 5.3.2 Branch-and-Bound Methods. 5.3.3 Heuristic Methods. 161 162 170 172 174 175 179 181 183 183 188 194 6 Network Models. 6.1 Definitions and Conventions. 6.2 Social Network Analysis. 6.3 Network Flow Problems. 6.4 Shortest Path Problems. 6.5 Spanning Tree Problems. 6.6 Routing Problems. 6.6.1 Arc Routing Problems. 6.6.2 Node Routing Problems. References. 215 215 218 220 230 238 239 241 249 266 7 Location Models. 7.1 The Major Elements of Location Problems.
7.2 Covering Problems. 7.2.1 The Location Set Covering Problem. 7.2.2 The Maximal Covering LocationProblem. 7.3 Center Problems. 7.3.1 1 -Center Problems. 7.3.2 p-Center Problems. 7.4 Median Problems. 7.4.1 Minisum Problems in the Plane. 267 267 270 271 274 277 278 280 281 281
Contents xiii 7.4.2 Minisum Problems in Networks. 7.5 Other Location Problems. References. 285 290 302 8 Project Networks. 8.1 The Critical Path Method. 8.2 Project Acceleration. 8.3 Project Planning with Resources. 8.4 The PERT Method. Reference. 303 304 312 317 320 332 9 Machine Scheduling. 9.1 Basic Concepts of Machine Scheduling. 9.2 Single-Machine Scheduling Models. 9.3 Parallel Machine Scheduling Models. 9.4 Dedicated Machine Scheduling Models. Reference. 333 334 336 340 345 352 10 Decision Analysis.
10.1 Introduction to Decision Analysis. 10.2 Visualizations of Decision Problems. 10.3 Decision Rules Under Uncertainty and Risk. 10.4 Sensitivity Analyses. 10.5 Decision Trees and the Value of Information. 10.6 Utility Theory. 353 353 355 357 363 366 373 11 Multiattribute Decision Making. 11.1 The General Model and a Generic Solution Method. 11.2 TOPSIS. 11.3 The Analytic Hierarchy Process. References. 385 385 390 391 399 12 Inventory Models. 12.1 Basic Concepts in Inventory Planning. 12.2 The Economic Order Quantity (EOQ) Model. 12.3 The Economic Order Quantity with Positive Lead Time. 12.4 The Economic Order Quantity with Backorders. 12.5 The Economic Order Quantity with Quantity Discounts. 12.6 The Production Lot Size
Model. 12.7 The Economic Order Quantity with Stochastic Lead Time Demand. 12.7.1 A Model that Optimizes the Reorder Point. 12.7.2 A Stochastic Model with Simultaneous Computation of Order Quantity and Reorder Point. 12.8 Extensions of the Basic Inventory Models. Reference. 401 401 404 407 410 412 414 417 418 419 420 424
xiv Contents 13 Stochastic Processes and Markov Chains. 13.1 Basic Ideas and Concepts. 13.2 Steady-State Solutions. 13.3 Decision Making with Markov Chains. 425 425 430 431 14 Reliability Models. 14.1 Fundamentals of Reliability Systems. 14.2 Time Aspects of Reliability. 14.3 Failure Rates and the Hazard Function. 14.4 Redundancy and Standby Systems. 14.5 Estimating Reliability. Reference. 439 440 445 447 450 451 455 15 Waiting Line Models. 15.1 Basic Queuing Models. 15.2 Optimization in Queuing. 457 458 466 16 Simulation. 16.1 Introduction to Simulation. 16.2
Random Numbers and Their Generation. 16.3 Examples of Simulations. 16.3.1Simulation of a Waiting Line System. 16.3.2 Simulation of an Inventory System. References. 473 474 475 479 480 483 494 17 Heuristic Methods. Reference. 495 504 Appendices. Appendix A: Vectors and Matrices. Appendix B: Systems of Simultaneous LinearEquations. Appendix C: Probability and Statistics. 505 505 506 509 References. 515 Index. 517 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T20:26:29Z |
| indexdate | 2024-07-10T09:37:36Z |
| institution | BVB |
| isbn | 9783030971618 |
| language | English |
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| spelling | Eiselt, Horst A. 1950- Verfasser (DE-588)133413780 aut Operations Research A Model-Based Approach H. A. Eiselt, Carl-Louis Sandblom third edition Cham Springer International Publishing 2022 XIV, 523 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Springer Texts in Business and Economics Operations Research and Decision Theory Operations Research, Management Science Industrial Management Operations research Management science Operations Research (DE-588)4043586-6 gnd rswk-swf Operations Research (DE-588)4043586-6 s DE-604 Sandblom, Carl-Louis Verfasser (DE-588)170403823 aut Erscheint auch als Online-Ausgabe 978-3-030-97162-5 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=033794134&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 Operations Research and Decision Theory Operations Research, Management Science Industrial Management Operations research Management science 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_exact_search_txtP | Operations Research A Model-Based Approach |
| title_full | Operations Research A Model-Based Approach H. A. Eiselt, Carl-Louis Sandblom |
| title_fullStr | Operations Research A Model-Based Approach H. A. Eiselt, Carl-Louis Sandblom |
| title_full_unstemmed | Operations Research A Model-Based Approach H. A. Eiselt, Carl-Louis Sandblom |
| title_short | Operations Research |
| title_sort | operations research a model based approach |
| title_sub | A Model-Based Approach |
| topic | Operations Research and Decision Theory Operations Research, Management Science Industrial Management Operations research Management science Operations Research (DE-588)4043586-6 gnd |
| topic_facet | Operations Research and Decision Theory Operations Research, Management Science Industrial Management Operations research Management science Operations Research |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033794134&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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