Location SciencePub Date : 1997-12-01DOI: 10.1016/S0966-8349(98)00036-9
Mark S. Daskin, Susan M. Hesse, Charles S. Revelle
{"title":"α-Reliable p-minimax regret: A new model for strategic facility location modeling","authors":"Mark S. Daskin, Susan M. Hesse, Charles S. Revelle","doi":"10.1016/S0966-8349(98)00036-9","DOIUrl":"https://doi.org/10.1016/S0966-8349(98)00036-9","url":null,"abstract":"<div><p>Facility location problems are inherently strategic in nature. One approach to dealing with the uncertainty associated with future events is to define alternative future scenarios. Planners then attempt to optimize: (1) the expected performance over all future scenarios, (2) the expected regret, or (3) the worst-case regret. Both the expected performance and the expected regret approaches assume that the planner can associate probabilities with the scenarios, while optimizing the worst-case regret obviates the need for these probabilities. Worst-case regret planning can, however, be driven by a scenario with a very small likelihood of occurrence. We present a new model that optimizes the worst-case performance over a set of scenarios that is endogenously selected from a broader exogenously specified set. The selection is based on the scenario probabilities. The new model is formulated and computational results on a moderately sized problem are presented. Model extensions are discussed.</p></div>","PeriodicalId":100880,"journal":{"name":"Location Science","volume":"5 4","pages":"Pages 227-246"},"PeriodicalIF":0.0,"publicationDate":"1997-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0966-8349(98)00036-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72123597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Location SciencePub Date : 1997-12-01DOI: 10.1016/S0966-8349(98)00033-3
I. Averbakh, Oded Berman
{"title":"Minimax regret p-center location on a network with demand uncertainty","authors":"I. Averbakh, Oded Berman","doi":"10.1016/S0966-8349(98)00033-3","DOIUrl":"https://doi.org/10.1016/S0966-8349(98)00033-3","url":null,"abstract":"<div><p>We consider the weighted <em>p</em>-center problem on a transportation network with uncertain weights of nodes. Specifically, for each node, an interval estimate of its weight is known. The objective is to find the ‘minimax regret’ solution i.e. to minimize the worst-case loss in the objective function that may occur because a decision is made without knowing which state of nature will take place. We discuss properties of the problem and show that the problem can be solved by means of solving (<em>n</em> + 1) regular weighted <em>p</em>-center problems. This leads to polynomial algorithms for the cases where the regular weighted <em>p</em>-center problem can be solved in polynomial time, e.g. for the case of a tree network, and for the case of a general network with <em>p</em> = 1.</p></div>","PeriodicalId":100880,"journal":{"name":"Location Science","volume":"5 4","pages":"Pages 247-254"},"PeriodicalIF":0.0,"publicationDate":"1997-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0966-8349(98)00033-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72123596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Location SciencePub Date : 1997-12-01DOI: 10.1016/S0966-8349(98)00030-8
P. Hansen, N. Mladenović
{"title":"Variable neighborhood search for the p-median","authors":"P. Hansen, N. Mladenović","doi":"10.1016/S0966-8349(98)00030-8","DOIUrl":"https://doi.org/10.1016/S0966-8349(98)00030-8","url":null,"abstract":"","PeriodicalId":100880,"journal":{"name":"Location Science","volume":"119 1","pages":"207-226"},"PeriodicalIF":0.0,"publicationDate":"1997-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81711480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Location SciencePub Date : 1997-12-01DOI: 10.1016/S0966-8349(98)00037-0
Xinjian Lu, Yigal Gerchak
{"title":"Multiple anticipatory moves of a server on a line","authors":"Xinjian Lu, Yigal Gerchak","doi":"10.1016/S0966-8349(98)00037-0","DOIUrl":"https://doi.org/10.1016/S0966-8349(98)00037-0","url":null,"abstract":"<div><p>This paper investigates the destination and desirability of anticipatory moves by an idle server aimed at reducing its response time for future requests. It is motivated by certain types of automated storage and retrieval systems, computer disks and elevators. Requests' timing and location are assumed to be uncertain. If a request arrives during an anticipatory move, the server will travel to the request upon the completion of the noninterruptible move. Otherwise, another anticipatory move can be considered in order to be closer to the static optimum. A stochastic dynamic programming model is developed for finding whether and where to move from each starting location. Structural properties of the optimal solutions are analyzed. Numerical examples are explored to provide insight into the nature and benefit of such moves. These numerical examples show the benefits depend heavily on requests' arrival rate and their location distribution, as well as on the server's setup time and speed.</p></div>","PeriodicalId":100880,"journal":{"name":"Location Science","volume":"5 4","pages":"Pages 269-287"},"PeriodicalIF":0.0,"publicationDate":"1997-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0966-8349(98)00037-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72080125","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Location SciencePub Date : 1997-12-01DOI: 10.1016/S0966-8349(98)00033-3
I. Averbakh, O. Berman
{"title":"Minimax regret p-center location on a network with demand uncertainty","authors":"I. Averbakh, O. Berman","doi":"10.1016/S0966-8349(98)00033-3","DOIUrl":"https://doi.org/10.1016/S0966-8349(98)00033-3","url":null,"abstract":"","PeriodicalId":100880,"journal":{"name":"Location Science","volume":"51 4 1","pages":"247-254"},"PeriodicalIF":0.0,"publicationDate":"1997-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83400215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Location SciencePub Date : 1997-10-01DOI: 10.1016/S0966-8349(98)80036-3
{"title":"A cost-benefit location-allocation model for public facilities: an econometric approach","authors":"","doi":"10.1016/S0966-8349(98)80036-3","DOIUrl":"https://doi.org/10.1016/S0966-8349(98)80036-3","url":null,"abstract":"","PeriodicalId":100880,"journal":{"name":"Location Science","volume":"5 3","pages":"Page 199"},"PeriodicalIF":0.0,"publicationDate":"1997-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0966-8349(98)80036-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72076648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Location SciencePub Date : 1997-10-01DOI: 10.1016/S0966-8349(98)80055-7
{"title":"Simple Lagrangian heuristic for the set covering problem","authors":"","doi":"10.1016/S0966-8349(98)80055-7","DOIUrl":"https://doi.org/10.1016/S0966-8349(98)80055-7","url":null,"abstract":"","PeriodicalId":100880,"journal":{"name":"Location Science","volume":"5 3","pages":"Page 204"},"PeriodicalIF":0.0,"publicationDate":"1997-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0966-8349(98)80055-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72123965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}