Decision making and programming
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New Jersey [u.a.]
World Scientific
2003
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Datensatz im Suchindex
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| adam_text | Titel: Decision making and programming
Autor: Kolbin, Vjačeslav Viktorovič
Jahr: 2003
CONTENTS Introduction........................... 1 Chapter 1 SOCIAL CHOICE PROBLEMS ..................11 § 1.1. Individual Preference Aggregation..............17 § 1.2. Collective Preference Aggregation..............32 § 1.3. Manipulation.......................51 § 1.4. Examples and Algorithms for Preference Aggregation.....67 Chapter 2 VECTOR OPTIMIZATION................... 85 § 2.1. Definition of Unimprovable Points............. 85 § 2.2. Optimization of the Hierarchical Sequence of Quality Criteria . 97 § 2.3. Tradeoffs........................ 110 § 2.4. The Linear Convolution of Criteria in Multicriteria Optimization Problems.................. 130 § 2.5. Solvability of the Vector Problem by the Linear Criteria Convolution Algorithm.................. 139 § 2.6. The Logical Criterion Vector Convolution in the Pareto Set Approximation Problem................. 146 § 2.7. Computational Research on Linear Criteria Convolution in Multicriteria Discrete Programming............ 160 Chapter 3 INFINITE-VALUED PROGRAMMING PROBLEMS........ 169 § 3.1. Basic Notions and Propositions.............. 169 § 3.2. Justification of Numerical Methods for Solving Infinite-Valued Programming Problems................. 181 § 3.3. Numerical Methods of Solution.............. 186 § 3.4. Separable Infinite-Valued Programming Problems...... 200 Chapter 4 STOCHASTIC PROGRAMMING ................ 211 § 4.1. Stochastic Programming Models.............. 211 § 4.2. Stochastic Programming Methods............. 219 § 4.3. Solution Algorithms for Stochastic Programming Problem . . 245 § 4.4. Existence of a Deterministic Analog............ 251 VÜ
viii Contents § 4.5. Results......................... 264 § 4.6. An Example of Applied Problem ............. 285 Chapter 5 DISCRETE PROGRAMMING.................. 299 § 5.1. A Geometric Interpretation of Integer Linear Programming Methods.................. 301 § 5.2. Equivalent Forms and Group-Theoretic Interpretation of Discrete Programming Problems ............. 307 § 5.3. An Algorithm for Solving the Integer Linear Programming Problem........................ 313 § 5.4. The Optimality Condition and the Search Method for Discrete Optimization Problems.................. 321 § 5.5. An Algorithm for Solving Mixed Integer Linear Programming Problems ................. 329 § 5.6. Solving the Large Linear Programming Problem by the Dynamic Programming Method.............. 340 Chapter 6 FUNDAMENTALS OF DECISION MAKING........... 345 § 6.1. Definition of the Decision Problem............. 345 § 6.2. Basic Notions of Theory of Choice............. 352 § 6.3. Fundamentals of Decision Making............. 395 Chapter 7 MULTICRITERION OPTIMIZATION PROBLEMS........ 427 § 7.1. Multicriterion Problems of Selection............ 427 § 7.2. Numerical Representation of Preference Relations...... 440 § 7.3. Preference Representation on Probability Measures..... 455 Chapter 8 DECISION MAKING UNDER INCOMPLETE INFORMATION ... 469 § 8.1. Decision Making under Incomplete Information....... 469 § 8.2. Decision Making under Multiple Criteria.......... 508 § 8.3. The Multilateral Decision Model ............. 516
Contents ix Chapter 9 MULTICRITERION ELEMENTS OF OPTIMIZATION THEORY................... 529 § 9.1. Lexicographic Optimization................ 529 § 9.2. The Factor Analysis in Organizational Systems....... 538 § 9.3. Stability of Principles of Optimality............ 553 § 9.4. Game-theoretic Decision Models.............. 568 Chapter 10 DECISION MODELS...................... 583 § 10.1. Conceptual Setting................... 583 § 10.2. Generalized Mathematical Programming as a Decision Model 589 § 10.3. Binary Relations in the Space of Binary Relations..... 608 Chapter 11 DECISION MODELS UNDER FUZZY INFORMATION ...... 651 § 11.1. Extension of the Ordering Aspects of,Well-Defined Binary Relations to the Fuzzy Case............... 651 § 11.2. Ordering of Binary Relations, as Based on the Notions of Approximation and Regularization of Principles of Optimality 662 § 11.3. General Methodology for A Priori Investigation of Generalized Mathematical Programming Problems .......... 682 Chapter 12 THE APPLIED MATHEMATICAL MODEL FOR CONFLICT MANAGEMENT.................. 691 § 12.1. Mathematical control Models for Tariff Policy in the Regional Fuel and Energy Complex................ 691 § 12.2. Computational Experiment and Appraisal of Results .... 733 Conclusion........................... 729 References........................... 733
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| discipline | Mathematik |
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| id | DE-604.BV025354442 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T23:47:14Z |
| institution | BVB |
| isbn | 9812383794 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019981611 |
| oclc_num | 636338206 |
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| owner | DE-11 |
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| physical | IX, 745 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | World Scientific |
| record_format | marc |
| spellingShingle | Kolbin, Vjačeslav V. Decision making and programming Entscheidungsmodell (DE-588)4121201-0 gnd Stochastische Optimierung (DE-588)4057625-5 gnd Diskrete Optimierung (DE-588)4150179-2 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4121201-0 (DE-588)4057625-5 (DE-588)4150179-2 (DE-588)4043664-0 |
| title | Decision making and programming |
| title_auth | Decision making and programming |
| title_exact_search | Decision making and programming |
| title_full | Decision making and programming V. V. Kolbin |
| title_fullStr | Decision making and programming V. V. Kolbin |
| title_full_unstemmed | Decision making and programming V. V. Kolbin |
| title_short | Decision making and programming |
| title_sort | decision making and programming |
| topic | Entscheidungsmodell (DE-588)4121201-0 gnd Stochastische Optimierung (DE-588)4057625-5 gnd Diskrete Optimierung (DE-588)4150179-2 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Entscheidungsmodell Stochastische Optimierung Diskrete Optimierung Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019981611&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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