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This paper considers a class of Capacitated Facility Location Problems in which customer demands are stochastic. The problem is formulated as a stochastic integer linear program, with first stage binary variables and second stage continuous variables. It is solved to optimality by means of a...
The multimedian problem is to locate “distinguishable” new facilities on a connected network G so as to minimize a total cost, which is a sum of costs directly proportional to (a) network distances between new facilities and existing facilities at vertex locations and (b) distances between...
In many location models, it is assumed that customers select the facility they will patronize based on the distance to that facility, or perhaps on a function of distances between the customer and the different available facilities. We consider a location problem in which customers select a...
This paper considers the problem of locating the home base of a traveling server on a network. Calls for service arrive solely at nodes via independent, time-homogeneous Poisson processes. Calls finding the server busy enter a finite capacity queue which is depleted in a First-Come-First-Served...
In this note, we discuss routing and location-routing delivery men problems on a path. The objective of the delivery men problem is to find service tours so as to minimize the total waiting time of all customers. We present an O ( n 2 ) time algorithm for the location-routing problem with a...
The uncapacitated p -center problem has been shown to be NP-Hard for the case of a general network, yet polynomial algorithms exist for the case of a tree network. We extend the results for trees to include the case where each center can serve a limited number of customers and show that the...
A generic multifacility location problem is considered which subsumes, as special cases, several NP-hard location problems that have appeared in literature. A unified algorithm is presented which solves the generic problem in polynomial time when problem structure, as defined by interactions...
In a recent paper, Z. Drezner and A. J. Goldman address the problem of determining the smallest set among those containing at least one optimal solution to every Weber problem based on a set of demand points in the plane. In the case of arbitrary mixed gauges (i.e., possibly nonsymmetric norms),...
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