an extended star is a tree which has only one vertex with degree larger than two. the -center problem in a graph  asks to find a subset  of the vertices of  of cardinality  such that the maximum weighted distances from  to all vertices is minimized. in this paper we consider the -center problem on the unweighted extended stars, and present some properties to find solution.

location selection is one of the most important activities in establishment of bank branches. choosing a suitable location have a direct impact on the performance of banks and also facilitating the achievement of other objectives. there are a lot of influential factors on the location selection which are complicated and therefore the traditional methods cannot be used. so we need to have a suit...

using greedy clustering method to solve capacitated location-routing problem with fuzzy demands abstract in this paper, the capacitated location routing problem with fuzzy demands (clrp_fd) is considered. in clrp_fd, facility location problem (flp) and vehicle routing problem (vrp) are observed simultaneously. indeed the vehicles and the depots have a predefined capacity to serve the customerst...

rough sets theory is a mathematical approach for analysis of a vague description of objects presented by a well-known mathematician, pawlak (1982, 1991). this paper explores the use of rough sets theory in site location investigation of buried concrete water reservoirs. making an appropriate decision in site location can always avoid unnecessary expensive costs which is very important in constr...

Using Greedy Clustering Method to Solve Capacitated Location-Routing Problem with Fuzzy Demands Abstract In this paper, the capacitated location routing problem with fuzzy demands (CLRP_FD) is considered. In CLRP_FD, facility location problem (FLP) and vehicle routing problem (VRP) are observed simultaneously. Indeed the vehicles and the depots have a predefined capacity to serve the customerst...

in this article, a game in which terrorists and the state government are the players is considered. on the one hand, terrorists try to attack major cities and impose damages (loss in the state’s point of view), on the other hand, the state tries to reduce damages through establishing the optimal number of facilities that are also optimally located. furthermore, allocating of fixed facilities in...