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An application of gravity p-median model with different distance decay functions
Högskolan Dalarna, Akademin Industri och samhälle, Mikrodataanalys.
2014 (Engelska)Självständigt arbete på avancerad nivå (masterexamen), 20 poäng / 30 hpStudentuppsats (Examensarbete)
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.

Ort, förlag, år, upplaga, sidor
2014.
Nyckelord [en]
distance decay, gravity p-median model, simulated annealing
Nationell ämneskategori
Annan teknik
Identifikatorer
URN: urn:nbn:se:du-14723OAI: oai:DiVA.org:du-14723DiVA, id: diva2:735832
Tillgänglig från: 2014-08-01 Skapad: 2014-08-01 Senast uppdaterad: 2014-08-01Bibliografiskt granskad

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