Chapter 2. Sequential Competitive Locationon Networks: Literature Review
Chapter 2 Sequential Competitive Location on Networks: Literature Review Eiselt and Laporte presented a survey of sequential competitive location prob- lems in 1996. Various publications in this ﬁeld have appeared since then. We will therefore extend Eiselt and Laporte (1996) by reviewing some of these recent developments in this chapter as in Kress and Pesch (2012d). The scope of review is as follows: • We restrict ourselves to detailed descriptions of publications that have appeared after Eiselt and Laporte (1996). • We include voting location problems. • Our focus is on models where potential locations are not a priori re- stricted to a ﬁnite set of points, as one ﬁnds up-to-date reviews con- cerning discrete models in Current et al. (2002); Daskin (2008); ReVelle et al. (2008); Serra and ReVelle (1995). • Furthermore, we restrict our attention to problems deﬁned on networks. Since a line, i.e. an interval of one-dimensional real space, may be interpreted as a special type of network and because models deﬁned on lines might contain ideas worth adapting in more general network models, we include these models as well, yet without describing them in detail for the sake of brevity. 16 Chapter 2. Sequential Competitive Location on Networks: Literature Review • We explicitly exclude location decisions in political issue spaces and refer the reader to Osborne (1995) and the references therein. • Furthermore, for the most part, we exclude coverage problems as an ex- cellent, very recent survey is Berman et al. (2010). Only indispensable models are surveyed in this...
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