In this paper, we propose a set of two-stage robust optimization models to design reliable p-median facility location networks subject to disruptions. A customized column-and-constraint generation approach is implemented and shown to be more effective than Benders cutting plane method. Numerical experiments are performed on real data and management insights on system design are presented. Our s...

In this paper, a single-source capacitated multifacility location problem with rectilinear distance under unbalanced transportation constraints is studied. The problem is formulated as a mixed integer linear programming problem of which the objective function is the sum of nonlinear functions. An algorithm under decomposition approach combining with logic based techniques is developed. Using th...

This paper proposes a discrete capacitated covering location-allocation model for pharmaceutical centers. In the presented model, two objectives are considered; the first one is minimization of costs and the second one try to maximize customer satisfaction by definition of social justice. Social justice in the model means that we consider customers satisfaction by using distance. the introduced...

The Capacitated Facility Location Problem is to locate a set of facilities with capacity constraints, with the aim of satisfying at the minimum cost the demands of a set of clients. The Single Source version (SingleCFLP ) of the problem has the additional requirement that each client must be assigned to a single facility. In this paper a reformulation of the problem based on Dicut Inequalities ...

This paper studies the reliable uncapacitated facility location problem in which facilities are subject to uncertain disruptions. A two-stage distributionally robust model is formulated, optimizes decisions so as minimize fixed cost and expected transportation of serving customers under worst-case disruption distribution. The formulated a general form, where joint distribution disruptions parti...

In this paper we propose a nonlinear Generalized Disjunctive Programming (GDP) model to optimize the 2-dimensional continuous location and allocation of the potential facilities based on their maximum capacity and the given coordinates of the suppliers and customer points. The model belongs to the class of Capacitated Multi-facility Weber Problem. We propose a bilevel decomposition algorithm th...

In this paper we consider the inverse and reverse network facility location problems with considering the equity on servers. The inverse facility location with equality measure deals with modifying the weights of vertices with minimum cost, such that the difference between the maximum and minimum weights of clients allocated to the given facilities is minimized. On the other hand, the reverse c...

The Maximum static flow problem, in a single-source-single-sink network, deals with finding the maximum amount of from source to sink. Given set possible sinks, identification sink that maximizes is an important optimization problem. In this work, we consider problem when sinks have given capacities. We devise simple network transformation so algorithms uncapacitated case can be used capacitate...