We propose algorithms for a special type of geometric facility location problem in which customers may choose not to use the facility. We minimize the maximum cost incurred by a customer, where the cost itself is a minimum between two costs, according to whether the facility is used or not. We therefore call this type of location problem a min-max-min geometric facility location problem. As a f...

facility location-allocation models are used in a widespread variety of applications to determine the number of required facility along with the relevant allocation process. in this paper, a new mathematical model for the capacitated multi-facility location-allocation problem with probabilistic customer's locations and fuzzy customer’s demands under the hurwicz criterion is proposed. ...

The supply chain facility location problem is an important foundation in the supply chain. The quality of facilities location directly influences the production and operation status of enterprise. Therefore, it is critical for enterprises to adopt scientific and effective methods for facility location problem assessment and a smooth decision. This article concentrates on the development status ...

In this article we focus on approximation algorithms for facility location problems with subadditive costs. As examples of such problems, we present two facility location problems with stochastic demand and exponential servers, respectively inventory. We present a (1 + , 1)-reduction of the facility location problem with subadditive costs to a soft capacitated facility location problem, which i...

A continuous single-facility location problem, where the fixed cost (or installation cost) depends on the region where the new facility is located, is studied by mean of cooperative Game Theory tools. Core solutions are proposed for the total cost allocation problem. Sufficient conditions in order to have a nonempty core are given, then the Weber problem with regional fixed costs is studied.

Optimisation of facility layout design problem with safety and environmental factors by stochastic DEA and simulation approach A. Azadeh, T. Nazari & H. Charkhand a School of Industrial and Systems Engineering and Center of Excellence for Intelligent Based Experimental Mechanics, University College of Engineering, University of Tehran, Tehran, Iran b HSE Department, National Petrochemical Compa...

This paper is concerned with the connected facility location problem, which has been intensively studied in the literature. The underlying polytopes, however, have not been investigated. This work is devoted to the polytope associated with the asymmetric version of the problem. We first lift known facets of the related Steiner arborescence and of the facility location polytope. Then we describe...

We consider a network design problem that arises in the costoptimal design of last mile telecommunication networks. It extends the Connected Facility Location problem by introducing capacities on the facilities and links of the networks. It combines aspects of the capacitated network design problem and the single-source capacitated facility location problem We refer to it as the Capacitated Con...