Given a directed network, the uncapacitated fixed-charge network flow problem is to find a minimum-cost arc combination that provides flows from the supply nodes to the demand nodes. Associated with all arcs are two costs: the fixed charge of using the arc and the variable cost depending on the amount of flow the arc actually carries. This generic model has applications for problems of distribu...

This paper presents two variants of genetic algorithm for solving the Supply Management Problem, which can be viewed as a generalization of the Fixed Charge Transportation Problem. The first variant uses the usual binary representation of solutions. The second one is based on the permutation representation and the greedy decoder. Computational results indicate good performance of the second app...

In the present paper the step fixed charge transportation problem under uncertainty, particularly when variable and fixed cost are given in fuzzy forms, is formulated. In order to solve the problem, two metaheuristic, simulated annealing algorithm (SA) and variable neighbourhood search (VNS), are developed for this NP-hard problem. Due to the significant role of parameters and operators on the ...

In this paper, we introduce a class of stochastic programming problem with fixed charge recourse in which a fixed cost is imposed if the value of the continuous recourse variable is strictly positive. The algorithm of a branch-and-cut method to solve the problem is developed by using the property of the expected recourse function. Then, the problem is applied to a power generating system. The n...

In this paper, the transportation problem under the carbon emission trading program ismodelled by mathematical programming and genetic algorithm. Since green supply chain issuesbecome important and new legislations are taken into account, carbon emissions costs are included inthe total costs of the supply chain. The optimisation model has the ability to minimise the total costsand provides the ...

centralizing and using proper transportation facilities cut down costs and traffic. hub facilities concentrate on flows to cause economic advantage of scale and multimodal transportation helps use the advantage of another transporter. a distinctive feature of this paper is proposing a new mathematical formulation for a three-stage p-hub location routing problem with simultaneous pick-ups and de...

The focus of our research is on rail transportation of intermodal containers. We address the problem of determining day-of-week schedules for both direct and indirect (via a hub) trains and allocating containers to these trains for the rail (linehaul) portion of the intermodal trip. The goal is to minimize operating costs, including a fixed charge for each train, variable transportation and han...