The vehicle routing and facility location fields are well-developed areas in management science and operations research application. There is an increasing recognition that effective decision-making in these fields requires the adoption of optimization software that can be embedded into a decision support system. In this paper, we describe the implementation details of our software components f...

Multidimensional minimax single facility location problems with Chebyshev distance are examined within the framework of idempotent algebra. A new algebraic solution based on an extremal property of the eigenvalues of irreducible matrices is given. The solution reduces both unconstrained and constrained location problems to evaluation of the eigenvalue and eigenvectors of an appropriate matrix. ...

Abstract The purpose of this study is to consider an international facility location problem under uncertainty and present an integrated model for strategic and operational planning. The paper offers two methodologies for the location selection decision. First the extended VIKOR method for decision making problem with interval numbers is presented as a methodology for strategic evaluation of po...

Both unconstrained and constrained minimax single facility location problems are considered in multidimensional space with Chebyshev distance. A new solution approach is proposed within the framework of idempotent algebra to reduce the problems to solving linear vector equations and minimizing functionals defined on some idempotent semimodule. The approach offers a solution in a closed form tha...

different decisions, including location decisions of companies which are operating in international dynamic environment are subject to significant uncertainty.so in this research an international facility location problem under uncertainty is considered and an integrated model for strategic and operational planning is presented. in strategic level countries are assessed according to internation...

a facility location is said to be competitive when other facilities are present in the market and new facilities have to compete with these existing facilities for a market share. in other words, in a competitive facility location problem we do not see monopoly that exists in classic location models. in such a situation, existing facilities react to locate new facilities by adjusting their attr...

Minimax single facility location problems in multidimensional space with Chebyshev distance are examined within the framework of idempotent algebra. The aim of the study is twofold: first, to give a new algebraic solution to the location problems, and second, to extend the area of application of idempotent algebra. A new algebraic approach based on investigation of extremal properties of eigenv...

In the obnoxious facility game with a set of agents in a space, we wish to design a mechanism, a decision-making procedure that determines a location of an undesirable facility based on locations reported by the agents, where we do not know whether the location reported by an agent is where exactly the agent exists in the space. For a location of the facility, the benefit of each agent is defin...