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An empirical test of the gravity p-median model
Högskolan Dalarna, Akademin Industri och samhälle, Statistik.ORCID-id: 0000-0003-2317-9157
Högskolan Dalarna, Akademin Industri och samhälle, Statistik.ORCID-id: 0000-0003-4212-8582
Högskolan Dalarna, Akademin Industri och samhälle, Kulturgeografi.ORCID-id: 0000-0003-4871-833X
Högskolan Dalarna, Akademin Industri och samhälle, Datateknik.ORCID-id: 0000-0003-1015-8015
2012 (engelsk)Rapport (Annet vitenskapelig)
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.

sted, utgiver, år, opplag, sider
Borlänge: Högskolan Dalarna , 2012. , s. 18
Serie
Working papers in transport, tourism, information technology and microdata analysis, ISSN 1650-5581 ; 2012:10
Emneord [en]
distance decay, market share, network, retail, simulated annealing, travel time
HSV kategori
Forskningsprogram
Komplexa system - mikrodataanalys, Allmänt Mikrodataaanalys - handel; Komplexa system - mikrodataanalys, Allmänt Mikrodataaanalys - metod; Komplexa system - mikrodataanalys, Allmänt Mikrodataaanalys - transporter
Identifikatorer
URN: urn:nbn:se:du-11508OAI: oai:DiVA.org:du-11508DiVA, id: diva2:579526
Forskningsfinansiär
Swedish Retail and Wholesale Development CouncilTilgjengelig fra: 2012-12-21 Laget: 2012-12-20 Sist oppdatert: 2019-08-26bibliografisk kontrollert
Inngår i avhandling
1. Heuristic optimization of the p-median problem and population re-distribution
Åpne denne publikasjonen i ny fane eller vindu >>Heuristic optimization of the p-median problem and population re-distribution
2013 (engelsk)Doktoravhandling, med artikler (Annet vitenskapelig)
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. 

sted, utgiver, år, opplag, sider
Borlänge: Dalarna University, 2013. s. 126
Serie
Dalarna Doctoral Dissertations in Microdata Analysis ; 1
HSV kategori
Forskningsprogram
Komplexa system - mikrodataanalys
Identifikatorer
urn:nbn:se:du-13255 (URN)978-91-89020-89-4 (ISBN)
Disputas
2013-11-22, Clas Ohlson, Borlänge, 13:00 (engelsk)
Opponent
Veileder
Tilgjengelig fra: 2013-11-11 Laget: 2013-11-11 Sist oppdatert: 2019-08-26bibliografisk kontrollert

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