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An empirical test of the gravity p-median model
Dalarna University, School of Technology and Business Studies, Statistics.ORCID iD: 0000-0003-2317-9157
Dalarna University, School of Technology and Business Studies, Statistics.
Dalarna University, School of Technology and Business Studies, Human Geography.ORCID iD: 0000-0003-4871-833X
Dalarna University, School of Technology and Business Studies, Computer Engineering.ORCID iD: 0000-0003-1015-8015
2012 (English)Report (Other academic)
Abstract [en]

A customer is presumed to gravitate to a facility by the distance to it and the attractiveness of it. However regarding the location of the facility, the presumption is that the customer opts for the shortest route to the nearest facility.This paradox was recently solved by the introduction of the gravity p-median model. The model is yet to be implemented and tested empirically. We implemented the model in an empirical problem of locating locksmiths, vehicle inspections, and retail stores ofv ehicle spare-parts, and we compared the solutions with those of the p-median model. We found the gravity p-median model to be of limited use for the problem of locating facilities as it either gives solutions similar to the p-median model, or it gives unstable solutions due to a non-concave objective function.

Place, publisher, year, edition, pages
Borlänge: Högskolan Dalarna , 2012. , 18 p.
Series
Working papers in transport, tourism, information technology and microdata analysis, ISSN 1650-5581 ; 2012:10
Keyword [en]
distance decay, market share, network, retail, simulated annealing, travel time
National Category
Economic Geography Other Computer and Information Science
Research subject
Komplexa system - mikrodataanalys, General Microdata Analysis - retail; Komplexa system - mikrodataanalys, General Microdata Analysis - methods; Komplexa system - mikrodataanalys, General Microdata Analysis - transports
Identifiers
URN: urn:nbn:se:du-11508OAI: oai:DiVA.org:du-11508DiVA: diva2:579526
Funder
Swedish Retail and Wholesale Development Council
Available from: 2012-12-21 Created: 2012-12-20 Last updated: 2015-07-01Bibliographically approved
In thesis
1. Heuristic optimization of the p-median problem and population re-distribution
Open this publication in new window or tab >>Heuristic optimization of the p-median problem and population re-distribution
2013 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis contributes to the heuristic optimization of the p-median problem and Swedish population redistribution.  

The p-median model is the most representative model in the location analysis. When facilities are located to a population geographically distributed in Q demand points, the p-median model systematically considers all the demand points such that each demand point will have an effect on the decision of the location. However, a series of questions arise. How do we measure the distances? Does the number of facilities to be located have a strong impact on the result? What scale of the network is suitable? How good is our solution? We have scrutinized a lot of issues like those. The reason why we are interested in those questions is that there are a lot of uncertainties in the solutions. We cannot guarantee our solution is good enough for making decisions. The technique of heuristic optimization is formulated in the thesis.  

Swedish population redistribution is examined by a spatio-temporal covariance model. A descriptive analysis is not always enough to describe the moving effects from the neighbouring population. A correlation or a covariance analysis is more explicit to show the tendencies. Similarly, the optimization technique of the parameter estimation is required and is executed in the frame of statistical modeling. 

Place, publisher, year, edition, pages
Borlänge: Högskolan Dalarna, 2013. 126 p.
Series
Dalarna Doctoral Dissertations, 2013:1
National Category
Other Social Sciences not elsewhere specified
Research subject
Komplexa system - mikrodataanalys
Identifiers
urn:nbn:se:du-13255 (URN)978-91-89020-89-4 (ISBN)
Public defence
2013-11-22, Clas Ohlson, Borlänge, 13:50 (English)
Opponent
Supervisors
Available from: 2013-11-11 Created: 2013-11-11 Last updated: 2015-07-01Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf