Equilibrium facility location on networks:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1996
|
| Series: | Advances in spatial network economics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 242 S. graph. Darst. |
| ISBN: | 3540605630 |
Staff View
MARC
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| 100 | 1 | |a Miller, Tan C. |d 1954- |e Verfasser |0 (DE-588)170168964 |4 aut | |
| 245 | 1 | 0 | |a Equilibrium facility location on networks |c Tan C. Miller ; Terry L. Friesz ; Roger L. Tobin |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1996 | |
| 300 | |a X, 242 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Advances in spatial network economics | |
| 650 | 7 | |a Evenwichtsmodellen (Economie) |2 gtt | |
| 650 | 7 | |a Netwerken |2 gtt | |
| 650 | 7 | |a Ruimtelijke economie |2 gtt | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Industrial location -- Mathematical models | |
| 650 | 4 | |a Network analysis (Planning) | |
| 650 | 0 | 7 | |a Raumwirtschaftstheorie |0 (DE-588)4121557-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Netzwerk |0 (DE-588)4171529-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Netzwerktheorie |0 (DE-588)4171531-7 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Tobin, Roger L. |e Verfasser |0 (DE-588)170267466 |4 aut | |
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Record in the Search Index
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| adam_text | Contents
1 Introduction* 1
1.1 Location Decisions in Spatial Competition 2
1.2 Criteria for Evaluating Competitive Facility Location
Models 3
1.2.1 Location, Pricing, and Production Decisions ... 3
1.2.2 Pricing 5
1.2.3 Demand 6
1.2.4 Market Conditions 7
1.2.5 Transport Markets 8
1.2.6 Infrastructure 9
1.2.7 Existence 9
1.2.8 Algorithms 10
1.2.9 Evaluation of Selected Competitive Facility Lo¬
cation Models 11
1.3 The Generic Equilibrium Facility Location Problem . . 11
1.4 What Motivates the Equilibrium Facility Location Prob¬
lem? 17
1.5 Study Objectives 22
1.6 Organization of Book 23
2 Aspatial Stackelberg Nash Cournot Equilibria* 27
2.1 Introduction 27
2.2 Cournot Nash and Stackelberg Nash Cournot Equilibria 29
2.3 Derivatives of the Implicit Function Q*{x) 31
2.4 Uniqueness of Stackelberg Nash Cournot Equilibria ... 35
2.5 Examples and Algorithm 39
viii Contents
3 Classical Plant Location on Networks 47
3.1 Uncapacitated Plant Location 47
3.2 Capacitated Plant Location 49
3.3 Plant Location with Elastic Demands 50
3.4 Conclusion 54
4 Spatial Market Equilibria on Networks* 55
4.1 The Spatial Price Equilibrium Model 55
4.1.1 Definition of Spatial Price Equilibrium Model . . 57
4.1.2 The SPE Model in Variational Inequality Form . 59
4.1.3 Existence and Uniqueness 62
4.1.4 Algorithms for Spatial Price Equilibria 63
4.2 A Spatial Cournot Nash Network Equilibrium Model . . 69
4.2.1 Definition of Cournot Nash Equilibrium Model . 69
4.2.2 Formulation as a Variational Inequality 73
4.2.3 Existence and Uniqueness for Spatial Cournot
Nash Equilibria 75
4.2.4 Algorithms for Spatial Cournot Nash Equilibria . 76
5 Sensitivity Analysis of Spatial Market Equilibria on
Networks* 79
5.1 Sensitivity Analysis for Variational Inequalities 80
5.1.1 Solution Conditions 80
5.1.2 Differentiability 81
5.2 Sensitivity Analysis of the Modified SPE Model 83
5.3 Sensitivity Analysis for Spatial Oligopoly 87
6 A Facility Sizing and Location in Spatial Price Equilib¬
rium Model* 91
6.1 Economic Settings 92
6.1.1 Choosing the SPE Model as the Spatial Compe¬
tition Model 92
6.1.2 The Firm of Interest 93
6.2 Formulations 94
6.2.1 The Sizing and Location Model 94
6.2.2 The FOB Mill Price Sizing and Location Model . 97
6.3 The Implicit Function 98
Contents ix
6.4 Existence Results 101
6.5 A Solution Algorithm 104
6.6 Numerical Results 108
6.6.1 An Exact or Simultaneous Algorithm 109
6.6.2 Results Ill
7 Stackelberg Equilibria on Networks* 139
7.1 Leaders, Followers and Model Background 139
7.2 Cournot Reaction Functions 142
7.3 Stackelberg Nash Cournot (SNC) Formulation 145
7.4 Existence and Uniqueness 147
7.5 A Sensitivity Based Algorithm for the SNC Equilibrium
Problem 148
8 A Facility Sizing and Location in Stackelberg Nash
Cournot Equilibrium Model* 155
8.1 Economic Setting 156
8.2 Stackelberg Profit Maximization 158
8.3 Existence and Uniqueness* 160
8.4 Algorithms for the Facility Sizing/Location in Stackel¬
berg Nash Cournot Equilibrium Model 161
8.4.1 The Facility Sizing/Location in SNC Equilib¬
rium Algorithm Solved by Explicit Enumeration 163
8.4.2 Discussion of Algorithm* 164
8.5 Numerical Results 167
9 The Importance of Including Reaction Functions and
Analysis of Economic Equilibria in Facility Location
Models: An Example 181
10 Dynamic Models: Equilibrium and Disequilibrium Ap¬
proaches 193
10.1 Dynamic Stackelberg Profit Maximization 194
10.1.1 Discussion of Potential Algorithms 202
10.1.2 A Dynamic Profit Maximization Model for the
Stackelberg Facility Location and Expansion Prob¬
lem 203
x Contents
10.2 A Dynamic Disequilibrium Facility Location Model . . . 207
10.2.1 Price, Flow and Capacity Adjustment Processes* 212
10.2.2 A Disequilibrium Facility Location Model .... 214
10.3 Conclusion 217
11 Conclusion 219
Bibliography 223
List of Figures 235
List of Tables 237
Index 241
|
| any_adam_object | 1 |
| author | Miller, Tan C. 1954- Friesz, Terry L. 1949- Tobin, Roger L. |
| author_GND | (DE-588)170168964 (DE-588)170281159 (DE-588)170267466 |
| author_facet | Miller, Tan C. 1954- Friesz, Terry L. 1949- Tobin, Roger L. |
| author_role | aut aut aut |
| author_sort | Miller, Tan C. 1954- |
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| dewey-search | 338.6/042 20 338.6/042 |
| dewey-sort | 3338.6 242 220 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften Geographie |
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| id | DE-604.BV010483803 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:53:17Z |
| institution | BVB |
| isbn | 3540605630 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006986636 |
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| physical | X, 242 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series2 | Advances in spatial network economics |
| spelling | Miller, Tan C. 1954- Verfasser (DE-588)170168964 aut Equilibrium facility location on networks Tan C. Miller ; Terry L. Friesz ; Roger L. Tobin Berlin [u.a.] Springer 1996 X, 242 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advances in spatial network economics Evenwichtsmodellen (Economie) gtt Netwerken gtt Ruimtelijke economie gtt Mathematisches Modell Industrial location -- Mathematical models Network analysis (Planning) Raumwirtschaftstheorie (DE-588)4121557-6 gnd rswk-swf Netzwerk (DE-588)4171529-9 gnd rswk-swf Netzwerktheorie (DE-588)4171531-7 gnd rswk-swf Standorttheorie (DE-588)4121720-2 gnd rswk-swf Standorttheorie (DE-588)4121720-2 s Netzwerktheorie (DE-588)4171531-7 s DE-604 Raumwirtschaftstheorie (DE-588)4121557-6 s Netzwerk (DE-588)4171529-9 s Friesz, Terry L. 1949- Verfasser (DE-588)170281159 aut Tobin, Roger L. Verfasser (DE-588)170267466 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006986636&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Miller, Tan C. 1954- Friesz, Terry L. 1949- Tobin, Roger L. Equilibrium facility location on networks Evenwichtsmodellen (Economie) gtt Netwerken gtt Ruimtelijke economie gtt Mathematisches Modell Industrial location -- Mathematical models Network analysis (Planning) Raumwirtschaftstheorie (DE-588)4121557-6 gnd Netzwerk (DE-588)4171529-9 gnd Netzwerktheorie (DE-588)4171531-7 gnd Standorttheorie (DE-588)4121720-2 gnd |
| subject_GND | (DE-588)4121557-6 (DE-588)4171529-9 (DE-588)4171531-7 (DE-588)4121720-2 |
| title | Equilibrium facility location on networks |
| title_auth | Equilibrium facility location on networks |
| title_exact_search | Equilibrium facility location on networks |
| title_full | Equilibrium facility location on networks Tan C. Miller ; Terry L. Friesz ; Roger L. Tobin |
| title_fullStr | Equilibrium facility location on networks Tan C. Miller ; Terry L. Friesz ; Roger L. Tobin |
| title_full_unstemmed | Equilibrium facility location on networks Tan C. Miller ; Terry L. Friesz ; Roger L. Tobin |
| title_short | Equilibrium facility location on networks |
| title_sort | equilibrium facility location on networks |
| topic | Evenwichtsmodellen (Economie) gtt Netwerken gtt Ruimtelijke economie gtt Mathematisches Modell Industrial location -- Mathematical models Network analysis (Planning) Raumwirtschaftstheorie (DE-588)4121557-6 gnd Netzwerk (DE-588)4171529-9 gnd Netzwerktheorie (DE-588)4171531-7 gnd Standorttheorie (DE-588)4121720-2 gnd |
| topic_facet | Evenwichtsmodellen (Economie) Netwerken Ruimtelijke economie Mathematisches Modell Industrial location -- Mathematical models Network analysis (Planning) Raumwirtschaftstheorie Netzwerk Netzwerktheorie Standorttheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006986636&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT millertanc equilibriumfacilitylocationonnetworks AT frieszterryl equilibriumfacilitylocationonnetworks AT tobinrogerl equilibriumfacilitylocationonnetworks |