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An application of gravity p-median model with different distance decay functions
Dalarna University, School of Technology and Business Studies, Microdata Analysis.
2014 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The location-allocation problem has been studied over 50 years and recently a

new method called “gravity p-median model” is introduced to the public. The key

idea is that the probability of customers visit a facility is based on a distance decay

function rather than directly choose the nearest one. An empirical test shows that the

solution of gravity p-median model with exponential distance decay function is

unstable and of limit use.

This paper extends the research to apply gravity p-median model with three

different distance decay functions in Dalecarlia, Sweden. The distance decay

functions are estimated from a Swedish survey by maximum likelihood estimation.

The models are optimized by simulated annealing. The result suggests that different

distance decay functions dominate the solutions of gravity p-median model, and the

log-normal decay function can provide stable solutions.

Place, publisher, year, edition, pages
2014.
Keyword [en]
distance decay, gravity p-median model, simulated annealing
National Category
Other Engineering and Technologies
Identifiers
URN: urn:nbn:se:du-14723OAI: oai:DiVA.org:du-14723DiVA: diva2:735832
Available from: 2014-08-01 Created: 2014-08-01 Last updated: 2014-08-01Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • chicago-author-date
  • chicago-note-bibliography
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
  • html
  • text
  • asciidoc
  • rtf