Given the emergence of two-echelon distribution systems in several practical contexts, this paper tackles, at strategic level, a network design problem under uncertainty. This is defined as stochastic multi-period capacitated location-routing (2E-SM-CLRP). It considers partitioned into two echelons: each echelon involves specific location-assignment-transportation schema that must cope with fut...

This paper focuses on the combined maintenance and routing optimisation problem in a multi-period environment that consists of scheduling operations for set geographically distributed machines, subject to non-deterministic failures with technicians perform preventive corrective operations. study uses two-step approach based column generation. The first step model determines optimal time until n...

Network flow problems with non-convex piecewise linear cost structures arise in many application areas, most notably in freight transportation and supply chain management. In the present paper, we consider mixed-integer programming (MIP) formulations of a generic multi-commodity network flow problem with piecewise linear costs. The formulations we study are based on variable disaggregation tech...

A basic model of the task of assigning classes to professors, in such a way that the average number of distinct subjects assigned to each professor is minimized, is formulated as a mixed integer program. It turns out that the problem is a special case of the fixed charge transportation problem which in some cases corresponds to finding a basic solution of a transportation problem which is as de...

the sensitivity analysis for multi-attribute decision making (madm) problems is important for two reasons: first, the decision matrix as the source of the results of a decision problem is inaccurate because it sorts the alternatives in each criterion inaccurately. second, the decision maker may change his opinions in a time period because of changes in the importance of the criteria and in the ...