An introduction to spatial allocation analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Washington, DC
Assoc. of America Geographers
1971
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| Series: | Association of American Geographers / Commission on College Geography: Resource paper
9 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 36 S. |
Staff View
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Record in the Search Index
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| adam_text | Titel: An introduction to spatial allocation analysis
Autor: Scott, Allen John
Jahr: 1971
TABLE OF CONTENTS
Page
Prefatory Note......................................................................................................xi
I. General Characteristics of Spatial Allocation Models........................................................1
Introduction ....................................................................................................1
Basic Assumptions for Spatial Allocation Analysis..........................................................1
The Transportation Model: Symbolic Presentation ........................................................2
Definition of system elements..............................................................................2
Basic structures..............................................................................................2
Applications and Generalizations of the Transportation Model............................................3
II. The Transportation Problem: Computational Procedures ................................................5
A Sample Problem..............................................................................................5
The First Feasible Solution....................................................................................6
The First Iteration ...........................................................................................7
Computation of shadow prices ............................................................................7
Opportunity costs ..........................................................................................7
Improvement of the basic solution........................................................................8
Search for a generalized pattern of improvements................................8
Implementation of the designated improvements....................................................9
Continuation of the Iterative Algorithm......................................................................9
The second iteration: Résumé of the main computational steps ......................................9
The third to the final iterations............................................................................10
Additional Computational Considerations ..................................................................10
Number of non-zero variables in the solution............................................................10
Degeneracy problems and their resolution................................................................12
Extension of the Elementary Tableau Format ..............................................................13
Introduction of more complex cost functions............................................................13
Use of slack variables........................................................................................13
III. The Dual Problem and Spatial Price Equilibrium..........................................................15
The Dual Problem: Initial Definitions and Derivation..............................................15
Economic Interpretation of the Dual ........................................................................15
Case of one buyer and four sellers .......................................................15
A simple allocation process ............................................................................15
Development of a market system......................................................................17
The marginal seller .................................................................17
Effect of capacity changes on rents....................................................................17
Page
Case of many buyers and many sellers....................................................................18
General criterion of equilibrium........................................................................18
An interlocking system of rents and prices............................................................18
Spatial Price Equilibrium ......................................................................................19
IV. Extensions of the Primal Transportation Problem ........................................................23
The Transshipment Problem ..................................................................................23
Symbolic representation of the transshipment problem................................................23
Tableau representation and solution of the transshipment problem ..................................24
A numerical example....................................................................................25
The Beckmann-Marschak Problem............................................................................26
Formal structure of the Beckmann-Marschak problem......................... . 26
Network Problems..............................................................................................28
A simple network problem: The capacitated transportation problem ................................28
Some elementary network flow-investment models ....................................................29
Case of an inflexible budget...............................................................29
Case of a flexible budget and a joint cost minimizing program ....................................30
Additional miscellaneous network problems ............................................................30
V. Conclusion......................................................................................................33
Selected Bibliography...............................................35
|
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| indexdate | 2024-07-09T16:57:34Z |
| institution | BVB |
| language | English |
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| physical | 36 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
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| publisher | Assoc. of America Geographers |
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| series2 | Association of American Geographers / Commission on College Geography: Resource paper |
| spelling | Scott, Allen J. Verfasser aut An introduction to spatial allocation analysis Washington, DC Assoc. of America Geographers 1971 36 S. txt rdacontent n rdamedia nc rdacarrier Association of American Geographers / Commission on College Geography: Resource paper 9 Mathematisches Modell Transportation Mathematical models Space in economics Analyse (DE-588)4122795-5 gnd rswk-swf Raumordnung (DE-588)4048590-0 gnd rswk-swf Raumordnung (DE-588)4048590-0 s Analyse (DE-588)4122795-5 s DE-604 Commission on College Geography: Resource paper Association of American Geographers 9 (DE-604)BV002788405 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004609564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Scott, Allen J. An introduction to spatial allocation analysis Mathematisches Modell Transportation Mathematical models Space in economics Analyse (DE-588)4122795-5 gnd Raumordnung (DE-588)4048590-0 gnd |
| subject_GND | (DE-588)4122795-5 (DE-588)4048590-0 |
| title | An introduction to spatial allocation analysis |
| title_auth | An introduction to spatial allocation analysis |
| title_exact_search | An introduction to spatial allocation analysis |
| title_full | An introduction to spatial allocation analysis |
| title_fullStr | An introduction to spatial allocation analysis |
| title_full_unstemmed | An introduction to spatial allocation analysis |
| title_short | An introduction to spatial allocation analysis |
| title_sort | an introduction to spatial allocation analysis |
| topic | Mathematisches Modell Transportation Mathematical models Space in economics Analyse (DE-588)4122795-5 gnd Raumordnung (DE-588)4048590-0 gnd |
| topic_facet | Mathematisches Modell Transportation Mathematical models Space in economics Analyse Raumordnung |
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