The p-median problem in a changing network: the case of Barcelona

Serra, Daniel; Marianov, Vladimir

doi:10.1016/s0966-8349(98)00049-7

Cited by 121 publications

(51 citation statements)

References 11 publications

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“…A number of studies use geographical information systems, developing localization models for the establishment of biomass industries (Zhang et al, 2011;Sultana and Kumar, 2012;Costa, 2014;Teixeira et al, 2018). Serra and Marianov (1998) formulated the p-median problem for the location of new facilities in the case of uncertain demand, in terms of time or the distance of trips, where it is possible to define scenarios that represent differences in travel times or demand in the region of interest. For example, the model has been applied to identify the optimal locations of fire brigades in Barcelona.…”

Section: Discussionmentioning

confidence: 99%

Using the p-median location model to set up aerodromes for coverage fertilization of eucalyptus plantations

Fardin¹,

Leite²,

Binoti³

et al. 2018

Afr. J. Agric. Res.

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In this study an economic analysis was conducted to evaluate problem associated with a geographical information system (GIS) using facility location models for the p-median in order to optimize the location of aerodromes for the aerial fertilization (coverage fertilization) of eucalyptus plantations. The location model was tested on a 9,095.65 ha farm located in the Três Lagoas municipality in the Mato Grosso do Sul State, in Brazil. The non-capacitated p-median location model, available in ArcGIS, was evaluated in the location-allocation module. Simulations were performed based on one to five aerodromes. The fertilization and setup costs were calculated for each scenario. The results showed that the p-median location model was efficient in determining the optimal location of aerodromes. The economic analysis of the location model found that the lowest costs are incurred when using three aerodromes.

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Section: Discussionmentioning

confidence: 99%

Using the p-median location model to set up aerodromes for coverage fertilization of eucalyptus plantations

Fardin¹,

Leite²,

Binoti³

et al. 2018

Afr. J. Agric. Res.

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“…The problems associated with allocating large-scale emergency response systems is also a common application field of p-MP models. For example, in their study [24], Serra and Marianov develop a p-MP model to allocate fire stations in Barcelona. In another study [25], authors evaluate the efficiency of p-MP approach with others, such as covering and center models, on Largescale Emergency Medical Service (LEMS) in the Los Angeles area.…”

Section: Literature Reviewmentioning

confidence: 99%

A multi-criteria assessment of the p-median, maximal coverage and p-center location models

2017

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Original scientific paper Location problems consider locating facilities with the objective of finding their best locations. In most real world problems, it is common that a demand node is required to be covered with multiple facilities in order to ensure a backup supply. The backup supply is necessary especially for public or emergency service location problems where a covered demand may not be serviced if it's designated facility is engaged serving other demands. In this study we consider three classic location models, i.e. p-median, maximal coverage and p-center, and compare their performances with respect to seven decision criteria under Q-coverage requirement. For this purpose, we generate multiple problem instances and solve each instance with the three models for different Q-values. Our numerical results reveal the pros and cons of each model to assist decision makers in determining the most promising model with respect to each assessment criteria. Keywords: backup coverage; facility location; maximal coverage; p-center; p-median Višekriterijska procjena modela lokacije p-srednje, maksimalne pokrivenosti i p-centralnoIzvorni znanstveni članak Problemi lokacije znače lociranje objekata s ciljem pronalaženja najbolje lokacije. Kod većine stvarnih problema uobičajeno je da zahtijevani čvor zadovoljava višestruke uvjete kako bi osigurao rezervnu opskrbu. Ta je rezervna opskrba posebno potrebna kod javnih ili problema lokacije hitne službe kada se pokrivena potražnja ne može osigurati ako je njezin za to određeni objekt zauzet pružanjem usluge drugim zahtijevima. U ovom radu razmatramo tri klasična modela lokacije, t.j. p-srednje, maksimalne pokrivenosti i p-centralno, te uspoređujemo njihovo funkcioniranje u odnosu na sedam kriterija za donošenje odluke u okviru zahtjeva Q-pokrivenosti (Q-coverage). U tu svrhu generiramo slučajeve višestrukih problema i svaki slučaj rješavamo s tri modela za različite Q vrijednosti. Naši numerički rezultati otkrivaju argumente za i protiv svakog modela koji pomažu u donošenju odluke o određivanju modela koji bi najviše odgovarao u odnosu na svaki od kriterija koji se uzimaju u obzir pri donošenju procjene.

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“…Dawson et al used a hybrid method integrating P-median and P-center models to find locations with minimized travelling distance and minimized maximum distance between missile site and required security forces for the Minuteman Intercontinental Ballistic Missile (ICBM) nuclear weapon system [11]. Serra et al introduced classic scenario approach to solve uncertain demand and travel time in P-median problem when locating public facilities [12]. Afshartous et al proposed a simulation-optimization methodology to address uncertain distress call in P-median model facing with US Coast Guard air station location problem [13].…”

Section: Covering Models P-median Models and P-center Modelsmentioning

confidence: 99%

A Stochastic Distribution Center Location Model for Earthquake Relief Supplies Based on Monte Carlo Simulation

Zhong¹,

Zhang²,

Zhu³

et al. 2017

Open Cyber

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Distribution center links the relief suppliers and affected people, making it an indispensable part in the transportation network of earthquake relief supplies. Therefore, the location of distribution center for earthquake relief supplies has significant influence on transportation cost, operation efficiency and logistics performance, which are important in reducing loss of lives and property.In this paper, we first give a review of general facility location models and find out the traditional model most suitable to distribution center location for earthquake relief supplies. Then the special characteristics of relief supplies distribution center are analyzed in detail and a stochastic location model is proposed. The model is based on traditional P-median facility location model and stochastic road damage degree is introduced into the model being treated as a stochastic variable to better fit to actual situation. Monte Carlo simulation method is adopted to simulate the stochastic variable representing actual stochastic road damage situation after earthquake disasters to solve the model. At last, an illustrative example of Wenchuan earthquake is given to show the optimization process of the proposed model and verify the feasibility of the new model. Furthermore, solution comparison between the proposed method and traditional method is made to show the benefits of the new method introduced in our paper.

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The p-median problem in a changing network: the case of Barcelona

Cited by 121 publications

References 11 publications

Using the p-median location model to set up aerodromes for coverage fertilization of eucalyptus plantations

Using the p-median location model to set up aerodromes for coverage fertilization of eucalyptus plantations

A multi-criteria assessment of the p-median, maximal coverage and p-center location models

A Stochastic Distribution Center Location Model for Earthquake Relief Supplies Based on Monte Carlo Simulation

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