Optimization and multiobjective control of time-discrete systems: dynamic networks and multilayered structures
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2009
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 277 - 282 |
| Physical Description: | XVI, 285 S. Ill., graph. Darst. 24 cm |
| ISBN: | 9783540850243 |
Staff View
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Record in the Search Index
| _version_ | 1804139256354963456 |
|---|---|
| adam_text | THE PLAYERS 26 CONTENTS MULTI-OBJECTIVE CONTROL OF TIME-DISCRETE SYSTEMS
AND DYNAMIC GAMES ON NETWORKS 1 1.1 PROBLEM FORMULATION 1 1.1.1
SINGLE-OBJECTIVE DISCRETE CONTROL PROBLEM 2 1.1.2 MULTI-OBJECTIVE
CONTROL BASED ON THE CONCEPT OF NON-COOPERATIVE GAMES: NASH EQUILIBRIA 4
1.1.3 HIERARCHICAL CONTROL AND STACKELBERG S OPTIMIZATION PRINCIPLE 7
1.1.4 MULTI-OBJECTIVE CONTROL BASED ON THE CONCEPT OF COOPERATIVE GAMES:
PARETO OPTIMA 8 1.1.5 STATIONARY AND NON-STATIONARY CONTROL OF
TIME-DISCRETE SYSTEMS 10 1.2 MULTI-OBJECTIVE CONTROL OF TIME-DISCRETE
SYSTEMS WITH INFINITE TIME HORIZON 10 1.3 ALTERNATE PLAYERS CONTROL
CONDITION AND NASH EQUILIBRIA FOR DYNAMIC GAMES IN POSITIONAL FORM 11
1.4 ALGORITHMS FOR SOLVING SINGLE-OBJECTIVE CONTROL PROBLEMS ON NETWORKS
15 1.4.1 DYNAMIC PROGRAMMING ALGORITHMS FOR SOLVING OPTIMAL CONTROL
PROBLEMS ON NETWORKS 15 1.4.2 AN EXTENSION OF DIJKSTRA S ALGORITHM FOR
OPTIMAL CONTROL PROBLEMS WITH A FREE NUMBER OF STAGES 18 1.5
MULTI-OBJECTIVE CONTROL AND NON-COOPERATIVE GAMES ON DYNAMIC NETWORKS 22
1.5.1 THE PROBLEM OF DETERMINING THE OPTIMAL STATIONARY STRATEGIES IN A
DYNAMIC C-GAME 22 1.5.2 THE PROBLEM OF DETERMINING THE OPTIMAL
NON-STATIONARY STRATEGIES IN A DYNAMIC C-GAME 25 1.6 MAIN RESULTS FOR
DYNAMIC C-GAMES WITH CONSTANT COSTS OF THE EDGES AND DETERMINING OPTIMAL
STATIONARY STRATEGIES OF BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/989364194 DIGITALISIERT DURCH CONTENTS 1.7
COMPUTATIONAL COMPLEXITY OF THE PROBLEM OF DETERMINING OPTIMAL
STATIONARY STRATEGIES IN A DYNAMIC C-GAME 45 1.8 DETERMINING THE OPTIMAL
STATIONARY STRATEGIES FOR A DYNAMIC C-GAME WITH NON-CONSTANT COST
FUNCTIONS ON THE EDGES 45 1.9 DETERMINING NASH EQUILIBRIA FOR
NON-STATIONARY DYNAMIC C-GAMES 53 1.9.1 TIME-EXPANDED NETWORKS FOR
NON-STATIONARY DYNAMIC C-GAMES AND THEIR MAIN PROPERTIES 53 1.9.2
DETERMINING NASH EQUILIBRIA 55 1.10 APPLICATION OF THE DYNAMIC C-GAME
FOR STUDYING AND SOLVING MULTI-OBJECTIVE CONTROL PROBLEMS 57 1.11
MULTI-OBJECTIVE CONTROL AND COOPERATIVE GAMES ON DYNAMIC NETWORKS 58
1.11.1 STATIONARY STRATEGIES ON NETWORKS AND PARETO SOLUTIONS 58 1.11.2
A PARETO SOLUTION FOR THE PROBLEM WITH NON- STATIONARY STRATEGIES ON
NETWORKS 59 1.12 DETERMINING PARETO SOLUTIONS FOR MULTI-OBJECTIVE
CONTROL PROBLEMS ON NETWORKS 60 1.12.1 DETERMINING PARETO STATIONARY
STRATEGIES 60 1.12.2 PARETO SOLUTION FOR THE NON-STATIONARY CASE OF THE
PROBLEM 65 1.12.3 COMPUTATIONAL COMPLEXITY OF THE STATIONARY CASE OF THE
PROBLEM AND AN ALGORITHM FOR ITS SOLVING ON ACYCLIC NETWORKS 65 1.13
DETERMINING PARETO OPTIMA FOR MULTI-OBJECTIVE CONTROL PROBLEMS 66 1.14
DETERMINING A STACKEIBERG SOLUTION FOR HIERARCHICAL CONTROL PROBLEMS 67
1.14.1 A STACKEIBERG SOLUTION FOR STATIC GAMES 68 1.14.2 HIERARCHICAL
CONTROL ON NETWORKS AND DETERMINING STACKEIBERG STATIONARY STRATEGIES 69
1.14. CONTENTS XUEI 2.3.4 A POLYNOMIAL TIME ALGORITHM FOR DETERMINING
OPTIMAL STRATEGIES OF THE PLAYERS IN A DYNAMIC C-GAME 90 2.3.5 A
PSEUDO-POLYNOMIAL TIME ALGORITHM FOR SOLVING A DYNAMIC C-GAME 95 2.4 A
POLYNOMIAL TIME ALGORITHM FOR SOLVING ACYCLIC /-GAMES ON NETWORKS 101
2.4.1 PROBLEM FORMULATION 101 2.4.2 MAIN PROPERTIES OF OPTIMAL
STRATEGIES IN ACYCLIC /-GAMES 102 2.4.3 A POLYNOMIAL TIME ALGORITHM FOR
FINDING THE VALUE AND THE OPTIMAL STRATEGIES IN AN ACYCLIC /-GAME 103
2.5 CYCLIC GAMES: ALGORITHMS FOR FINDING THE VALUE AND THE OPTIMAL
STRATEGIES OF THE PLAYERS 105 2.5.1 PROBLEM FORMULATION AND MAIN
PROPERTIES 106 2.5.2 DETERMINING THE BEST RESPONSE OF THE FIRST PLAYER
FOR A FIXED STRATEGY OF THE SECOND PLAYER 107 2.5.3 SOME PRELIMINARY
RESULTS 110 2.5.4 THE REDUCTION OF CYCLIC GAMES TO ERGODIC GAMES 111
2.5.5 A POLYNOMIAL TIME ALGORITHM FOR SOLVING ERGODIC ZERO-VALUE CYCLIC
GAMES 111 2.5.6 A POLYNOMIAL TIME ALGORITHM FOR SOLVING CYCLIC GAMES
BASED ON THE REDUCTION TO ACYCLIC /-GAMES .... 113 2.5.7 AN APPROACH FOR
SOLVING CYCLIC GAMES BASED ON A DICHOTOMY METHOD AND SOLVING DYNAMIC
C-GAMES .... 116 2.6 CYCLIC GAMES WITH RANDOM STATES TRANSITIONS OF THE
DYNAMICAL SYSTEM 117 2.7 A NASH EQUILIBRIA CONDITION FOR CYCLIC GAMES
WITH P PLAYERS . 118 2.8 DETERMINING PARETO OPTIMA FOR CYCLIC GAMES WITH
P PLAYERS . 122 3 XIV CONTENTS 3.2.2 AN ALGORITHM FOR SOLVING THE
PROBLEM ON A NETWORK WITH TRANSITION-TIME FUNCTIONS ON THE EDGES 134 3.3
MULTI-OBJECTIVE CONTROL OF TIME-DISCRETE SYSTEMS WITH VARYING TIME OF
STATES TRANSITIONS 141 3.3.1 MULTI-OBJECTIVE DISCRETE CONTROL WITH
VARYING TIME OF STATES TRANSITIONS OF DYNAMICAL SYSTEMS 141 3.3.2 A
DYNAMIC C-GAME ON NETWORKS WITH TRANSITION-TIME FUNCTIONS ON THE EDGES
146 3.3.3 REMARK ON DETERMINING PARETO OPTIMA FOR THE MULTI-OBJECTIVE
CONTROL PROBLEM WITH VARYING TIME OF STATES TRANSITIONS 149 3.4 AN
ALGORITHM FOR SOLVING THE DISCRETE OPTIMAL CONTROL PROBLEM WITH INFINITE
TIME HORIZON AND VARYING TIME OF THE STATES TRANSITIONS 150 3.4.1
PROBLEM FORMULATION AND SOME PRELIMINARY RESULTS ... 150 3.4.2 AN
ALGORITHM FOR DETERMINING AN OPTIMAL STATIONARY CONTROL FOR DYNAMICAL
SYSTEMS WITH INFINITE TIME HORIZON 152 3.5 A GENERAL APPROACH FOR
ALGORITHMIC SOLUTIONS OF DISCRETE OPTIMAL CONTROL PROBLEMS AND ITS
GAME-THEORETIC EXTENSION . 154 3.5.1 A GENERAL OPTIMAL CONTROL MODEL 154
3.5.2 AN ALGORITHM FOR DETERMINING AN OPTIMAL SOLUTION OF THE PROBLEM
WITH FIXED STARTING AND FINAL STATES 156 3.5.3 THE DISCRETE OPTIMAL
CONTROL PROBLEM ON A NETWORK .. 159 3.5.4 THE GAME-THEORETIC CONTROL
MODEL WITH P PLAYERS .... 160 3.5.5 THE GAME-THEORETIC CONTROL PROBLEM
ON NETWORKS AND AN ALGORITHM FOR ITS SOLVING 161 3.5.6 MULTI-CRITERIA
DISCRETE CONTROL PROBLEMS: PARET CONTENTS XV 4.1.4 THE DYNAMIC MODEL
WITH FLOW STORAGE AT NODES AND INTEGRAL CONSTANT DEMAND-SUPPLY FUNCTIONS
188 4.1.5 THE ALGORITHM 189 4.1.6 CONSTRUCTING THE TIME-EXPANDED NETWORK
AND ITS SIZE. 190 4.1.7 APPROACHES FOR SOLVING THE MINIMUM COST FLOW
PROBLEM WITH DIFFERENT TYPES OF COST FUNCTIONS ON THE EDGES 200 4.1.8
DETERMINING THE MINIMUM COST FLOWS IN DYNAMIC NETWORKS WITH TRANSITION
TIME FUNCTIONS THAT DEPEND ON FLOW AND TIME 208 4.1.9 AN ALGORITHM FOR
SOLVING THE MAXIMUM DYNAMIC FLOW PROBLEM 212 4.2 MULTI-COMMODITY DYNAMIC
FLOW PROBLEMS AND ALGORITHMS FOR THEIR SOLVING 214 4.2.1 THE MINIMUM
COST MULTI-COMMODITY DYNAMIC FLOW PROBLEM 214 4.2.2 THE MAIN RESULTS 216
4.2.3 THE ALGORITHM 220 4.2.4 EXAMPLES 220 4.2.5 THE DYNAMIC
MULTI-COMMODITY MINIMUM COST FLOW PROBLEM WITH TRANSITION TIME FUNCTIONS
THAT DEPEND ON FLOWS AND ON TIME 224 4.2.6 GENERALIZATIONS 229 4.2.7 AN
ALGORITHM FOR SOLVING THE MAXIMUM DYNAMIC MULTI-COMMODITY FLOW PROBLEM
229 4.3 THE GAME-THEORETIC APPROACH FOR DYNAMIC FLOW PROBLEMS ON
NETWORKS 231 APPLICATIONS AND RELATED TOPICS 233 5.1 ANALYSIS AND
CONTROL OF TIME-DISCRETE SYSTEMS: RESOURCE PLANNING - THE TEM MODEL 233
5.1.1 MOTIVATION 234 5.1.2 THE BASIC MODEL 234 5.1.3 CONTROL THEORETIC
PART 237 5.1.4 PROBLEM OF FIXED POINT CONTROLLABILITY AND
NULL-CONTROLLABILIT XVI CONTENTS 5.3 AN EMISSION REDUCTION PROCESS - THE
MILAN MODEL 269 5.3.1 MILAN: MULTILAYERED GAMES ON NETWORKS THE GENERAL
KYOTO GAME AS A MULTI-STEP PROCESS 269 5.3.2 SEQUENCING AND DYNAMIC
PROGRAMMING 271 5.3.3 GENERALIZATIONS OF THE FEASIBLE DECISION SETS:
OPTIMAL SOLUTIONS ON FC-LAYERED GRAPHS 274 CONCLUSION 275 REFERENCES 277
INDEX 283
|
| any_adam_object | 1 |
| author | Lozovanu, Dmitrii Pickl, Stefan 1967- |
| author_GND | (DE-588)12132799X |
| author_facet | Lozovanu, Dmitrii Pickl, Stefan 1967- |
| author_role | aut aut |
| author_sort | Lozovanu, Dmitrii |
| author_variant | d l dl s p sp |
| building | Verbundindex |
| bvnumber | BV035592978 |
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| ctrlnum | (OCoLC)318641031 (DE-599)DNB989364194 |
| dewey-full | 519.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.7 |
| dewey-search | 519.7 |
| dewey-sort | 3519.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035592978 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:41:11Z |
| institution | BVB |
| isbn | 9783540850243 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017648166 |
| oclc_num | 318641031 |
| open_access_boolean | |
| owner | DE-706 DE-824 |
| owner_facet | DE-706 DE-824 |
| physical | XVI, 285 S. Ill., graph. Darst. 24 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
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| spelling | Lozovanu, Dmitrii Verfasser aut Optimization and multiobjective control of time-discrete systems dynamic networks and multilayered structures Dmitrii Lozovanu ; Stefan Pickl Berlin [u.a.] Springer 2009 XVI, 285 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 277 - 282 Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Zeitdiskretes System (DE-588)4127297-3 gnd rswk-swf Dynamisches Spiel (DE-588)4121154-6 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Zeitdiskretes System (DE-588)4127297-3 s Dynamisches Spiel (DE-588)4121154-6 s Optimierung (DE-588)4043664-0 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Pickl, Stefan 1967- Verfasser (DE-588)12132799X aut Erscheint auch als Online-Ausgabe 978-3-540-85025-0 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017648166&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lozovanu, Dmitrii Pickl, Stefan 1967- Optimization and multiobjective control of time-discrete systems dynamic networks and multilayered structures Kontrolltheorie (DE-588)4032317-1 gnd Zeitdiskretes System (DE-588)4127297-3 gnd Dynamisches Spiel (DE-588)4121154-6 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4127297-3 (DE-588)4121154-6 (DE-588)4043664-0 |
| title | Optimization and multiobjective control of time-discrete systems dynamic networks and multilayered structures |
| title_auth | Optimization and multiobjective control of time-discrete systems dynamic networks and multilayered structures |
| title_exact_search | Optimization and multiobjective control of time-discrete systems dynamic networks and multilayered structures |
| title_full | Optimization and multiobjective control of time-discrete systems dynamic networks and multilayered structures Dmitrii Lozovanu ; Stefan Pickl |
| title_fullStr | Optimization and multiobjective control of time-discrete systems dynamic networks and multilayered structures Dmitrii Lozovanu ; Stefan Pickl |
| title_full_unstemmed | Optimization and multiobjective control of time-discrete systems dynamic networks and multilayered structures Dmitrii Lozovanu ; Stefan Pickl |
| title_short | Optimization and multiobjective control of time-discrete systems |
| title_sort | optimization and multiobjective control of time discrete systems dynamic networks and multilayered structures |
| title_sub | dynamic networks and multilayered structures |
| topic | Kontrolltheorie (DE-588)4032317-1 gnd Zeitdiskretes System (DE-588)4127297-3 gnd Dynamisches Spiel (DE-588)4121154-6 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Kontrolltheorie Zeitdiskretes System Dynamisches Spiel Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017648166&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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