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Distance measure and the p-median problem in rural areas
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]

The p-median model is used to locate P facilities to serve a geographically distributed population. Conventionally, it is assumed that the population patronize the nearest facility and that the distance between the resident and the facility may be measured by the Euclidean distance. Carling, Han, and Håkansson (2012) compared two network distances with the Euclidean in a rural region witha sparse, heterogeneous network and a non-symmetric distribution of thepopulation. For a coarse network and P small, they found, in contrast to the literature, the Euclidean distance to be problematic. In this paper we extend their work by use of a refined network and study systematically the case when P is of varying size (2-100 facilities). We find that the network distance give as gooda solution as the travel-time network. The Euclidean distance gives solutions some 2-7 per cent worse than the network distances, and the solutions deteriorate with increasing P. Our conclusions extend to intra-urban location problems.

sted, utgiver, år, opplag, sider
2012. , s. 12
Serie
Working papers in transport, tourism, information technology and microdata analysis, ISSN 1650-5581 ; 2012:07
Emneord [en]
dense network, location model, optimal location, simulated annealing, travel time, urban areas
HSV kategori
Forskningsprogram
Komplexa system - mikrodataanalys, Allmänt Mikrodataaanalys - transporter; Komplexa system - mikrodataanalys, Allmänt Mikrodataaanalys - metod
Identifikatorer
URN: urn:nbn:se:du-11398OAI: oai:DiVA.org:du-11398DiVA, id: diva2:574796
Forskningsfinansiär
Swedish Retail and Wholesale Development CouncilTilgjengelig fra: 2012-12-06 Laget: 2012-12-06 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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