Risk-averse capacity control in revenue management:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
2007
|
| Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
597 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Karlsruhe, Univ., Diss., 2006 |
| Beschreibung: | XII, 163 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783540730132 3540730133 |
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Datensatz im Suchindex
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| adam_text |
CHRISTIANE BARZ
RISK-AVERSE CAPACITY
CONTROL
IN REVENUE
MANAGEMENT
WITH 32 FIGURES AND 10 TABLES
4Y SPRINGER
CONTENTS
INTRODUCTION
1
1.1 THE BASIC CAPACITY CONTROL PROBLEM 4
1.1.1 ASSUMPTIONS 4
1.1.2 THE ATTITUDE TOWARDS RISK IN CAPACITY CONTROL 8
1.2
RISK-AVERSION IN REVENUE MANAGEMENT 10
1.3 CHAPTER ORGANIZATION 11
PART I BASIC PRINCIPLES
2 MARKOV DECISION PROCESSES AND THE TOTAL REWARD CRITERION
19
2.1
FINITE HORIZON MARKOV DECISION PROCESSES 19
2.2 INFINITE HORIZON MARKOV DECISION PROCESSES 22
2.2.1 MARKOV DECISION PROCESSES WITH AN ABSORBING SET 23
2.2.2
MARKOV DECISION PROCESSES IN A RANDOM ENVIRONMENT . 25
3 EXPECTED UTILITY THEORY FOR SEQUENTIAL DECISION MAKING
. . 29
3.1
STATIC DECISION PROBLEMS 29
3.1.1 THE CONCEPT OF RISK-AVERSION 31
3.1.2 SPECIAL UTILITY FUNCTIONS 32
3.2 SEQUENTIAL DECISION PROBLEMS 35
3.2.1 ADDITIVE TIME-SEPARABLE UTILITY FUNCTIONS 30
3.2.2 GENERAL ATEMPORAL UTILITY FUNCTIONS 38
3.2.3 ATEMPORAL EXPONENTIAL UTILITY FUNCTIONS 40
PART II EXPECTED REVENUE MAXIMIZING CAPACITY CONTROL
4 CAPACITY CONTROL IN A RANDOM ENVIRONMENT
47
4.1
THE DECISION MODEL 48
4.1.1 THE ENVIRONMENTAL PROCESS AND THE ARRIVAL OF REQUESTS 48
VIII CONTENTS
4.1.2 ACCEPTING REQUESTS 49
4.1.3 CANCELATIONS, NO-SHOWS, AND OVERBOOKING 49
4.1.4 THE UNDERLYING MARKOV DECISION PROCESS 51
4.2 STRUCTURAL RESULTS 52
4.3 EXAMPLES FOR THE RANDOM ENVIRONMENT 55
4.3.1 EXOGENOUS EFFECTS BASED ON THE EVOLUTION OF A MARKOV
CHAIN
55
4.3.2 CAPACITY CONTROL UNDER UNCERTAINTY 55
4.3.3 GENERAL DEMAND PATTERNS 56
4.4 NUMERICAL EXAMPLES 57
4.4.1 EXAMPLE 1: CAPACITY CONTROL WITH EXOGENOUS EFFECTS . . 57
4.4.2
EXAMPLE 2: CAPACITY CONTROL WITH DEPENDENT DEMAND
.
59
5 BASIC SINGLE RESOURCE CAPACITY CONTROL MODELS IN
REVENUE
MANAGEMENT
63
5.1 THE DYNAMIC MODEL 63
5.1.1 THE DECISION MODEL 64
5.1.2 STRUCTURAL RESULTS 65
5.1.3 A NUMERICAL EXAMPLE 69
5.2 THE STATIC MODEL 70
5.2.1 THE DECISION MODEL 71
5.2.2 STRUCTURAL RESULTS 72
5.2.3 A NUMERICAL EXAMPLE 74
5.2.4 THE EMSR HEURISTICS 75
PART III EXPECTED UTILITY MAXIMIZING CAPACITY CONTROL
6 CAPACITY CONTROL MAXIMIZING ADDITIVE TIME-SEPARABLE
UTILITY
83
6.1 THE DYNAMIC MODEL 83
6.1.1 STRUCTURAL RESULTS 84
6.1.2 NUMERICAL EXAMPLES 86
6.2 THE STATIC MODEL 88
6.2.1 STRUCTURAL RESULTS 89
6.2.2 NUMERICAL EXAMPLES 93
7 CAPACITY CONTROL MAXIMIZING ATEMPORAL UTILITY
95
7.1
THE DYNAMIC MODEL .
96
7.1.1 STRUCTURAL RESULTS 96
7.1.2 NUMERICAL EXAMPLES 97
7.1.3 STRUCTURAL RESULTS IN THE CASE OF AN EXPONENTIAL
UTILITY
FUNCTION 100
7.1.4 NUMERICAL EXAMPLE IN THE CASE OF AN EXPONENTIAL
UTILITY
FUNCTION 105
CONTENTS IX
7.2 THE STATIC MODEL 10(I
7.2.1 NUMERICAL EXAMPLES 107
7.2.2 STRUCTURAL RESULTS IN THE CASE OF AN EXPONENTIAL
UTILITY
FUNCTION 109
7.2.3 NUMERICAL EXAMPLE IN THE CA.SE OF AN EXPONENTIAL
UTILITY
FUNCTION 114
7.2.4 POSSIBLE EXTENSIONS OF THE EMSR HEURISTICS 118
8 AN EXTENSION: CAPACITY CONTROL UNDER A GENERAL DISCRETE
CHOICE
MODEL OF CONSUMER BEHAVIOR
125
8.1
THE CAPACITY CONTROL MODEL 125
8.2 MAXIMIZING EXPECTED REVENUE 12(I
8.2.1 EFFICIENT SETS 127
8.2.2 STRUCTURE OF AN OPTIMAL POLICY 128
8.2.3 A NUMERICAL EXAMPLE 129
8.3 MAXIMIZING EXPECTED UTILITY 131
8.3.1 EFFICIENT SETS 133
8.3.2 CHARACTERIZATION OF THE OPTIMAL POLICY 133
8.3.3 A NUMERICAL EXAMPLE 136
9 CONCLUSION
139
9.1 SUMMARY 139
9.2 DIRECTIONS FOR FUTURE WORK 141
LIST OF SYMBOLS
143
AN EXTENSION OF STIDHAM'S LEMMA 147
STOCHASTIC CONCAVITY AND THE BINOMIAL DISTRIBUTION 149
REFERENCES
151 |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| spelling | Barz, Christiane Verfasser (DE-588)1133212506 aut Risk-averse capacity control in revenue management Christiane Barz Berlin Springer 2007 XII, 163 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture Notes in Economics and Mathematical Systems 597 Zugl.: Karlsruhe, Univ., Diss., 2006 Revenue management Kapazitätsmanagement (DE-588)4163243-6 gnd rswk-swf Kapazitätsplanung (DE-588)4120544-3 gnd rswk-swf Markov-Entscheidungsprozess (DE-588)4168927-6 gnd rswk-swf Risikoaversion (DE-588)4205948-3 gnd rswk-swf Revenue Management (DE-588)4444408-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Revenue Management (DE-588)4444408-4 s Kapazitätsplanung (DE-588)4120544-3 s Risikoaversion (DE-588)4205948-3 s Markov-Entscheidungsprozess (DE-588)4168927-6 s DE-604 Kapazitätsmanagement (DE-588)4163243-6 s 1\p DE-604 Lecture Notes in Economics and Mathematical Systems 597 (DE-604)BV000000036 597 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015784292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Barz, Christiane Risk-averse capacity control in revenue management Lecture Notes in Economics and Mathematical Systems Revenue management Kapazitätsmanagement (DE-588)4163243-6 gnd Kapazitätsplanung (DE-588)4120544-3 gnd Markov-Entscheidungsprozess (DE-588)4168927-6 gnd Risikoaversion (DE-588)4205948-3 gnd Revenue Management (DE-588)4444408-4 gnd |
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| title | Risk-averse capacity control in revenue management |
| title_auth | Risk-averse capacity control in revenue management |
| title_exact_search | Risk-averse capacity control in revenue management |
| title_exact_search_txtP | Risk-averse capacity control in revenue management |
| title_full | Risk-averse capacity control in revenue management Christiane Barz |
| title_fullStr | Risk-averse capacity control in revenue management Christiane Barz |
| title_full_unstemmed | Risk-averse capacity control in revenue management Christiane Barz |
| title_short | Risk-averse capacity control in revenue management |
| title_sort | risk averse capacity control in revenue management |
| topic | Revenue management Kapazitätsmanagement (DE-588)4163243-6 gnd Kapazitätsplanung (DE-588)4120544-3 gnd Markov-Entscheidungsprozess (DE-588)4168927-6 gnd Risikoaversion (DE-588)4205948-3 gnd Revenue Management (DE-588)4444408-4 gnd |
| topic_facet | Revenue management Kapazitätsmanagement Kapazitätsplanung Markov-Entscheidungsprozess Risikoaversion Revenue Management Hochschulschrift |
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