The fixed-charge transportation problem is a fixed-charge network flow problem on a bipartite graph. This problem appears as a subproblem in many hard transportation problems, and is also both a special case and a strong relaxation of the challenging bigbucket multi-item lot-sizing problem. In this paper, we provide a polyhedral analysis of the polynomially solvable special case in which the as...

In the present paper, the multi-objective solid transportation problem with fuzzy coefficients for the objectives and constraints is modelled and then solved. Fuzzy goal programming is used to the linear multiobjective solid transportation problem, and an optimal compromise solution is obtained. Firstly, expected values of the fuzzy objective functions are considered to derive crisp values. In ...

The pure fixed charge transportation problem is reformulated into an equivalent set covering problem with, in general, a large number of constraints. Two constraint generation procedures for its solution are suggested; in both of these, new constraints are generated by the solution of ordinary maximum flow problems. In the first procedure, which is an optimizing Benders-type scheme, each set co...

In this paper, the fixed charge solid transportation problem under uncertainty is investigated. As a result, three mathematical models are constructed for the problem, i.e., expected value model, chanceconstrained programming model and measure-chance programming model, where the supplies, demands, conveyance capacities, direct costs and fixed charges are regarded as uncertain variables. After t...

Ranking fuzzy numbers play a vital role in decision making problems, data analysis and socio economics systems. Ranking fuzzy numbers is a necessary step in many mathematical models. Many of the methods proposed so far are non-discriminating. This paper presents a new ranking method and using which we convert the fuzzy transportation problem to a crisp valuedtransportation problem which then ca...

in the present paper, we introduce and study a fuzzy vector equilibrium problem and prove some existence results with and without convexity assumptions by using some particular forms of results of textit{kim} and textit{lee} [w.k. kim and k.h. lee, generalized fuzzy games and fuzzy equilibria, fuzzy sets and systems, 122 (2001), 293-301] and textit{tarafdar} [e. tarafdar, fixed point theorems i...

In this technical report, we study the multiple-sink fixed-charge transportation problem (MSFCTP), which arises frequently in application areas of scheduling and cost control, such as facility planning, capital budgeting, resource allocation, buffer allocation, pollution control, etc. The MSFCTP problem involves the distribution from a set of supply centers (sources) to a set of demand centers ...

0360-8352/$ see front matter 2012 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.cie.2012.12.001 q This manuscript was processed by Area Editor Iris F.A. Vis. ⇑ Corresponding author. Current address: Operations Research Dept., Institute of Statistical Studies and Research (ISSR), Cairo University, Egypt. Tel.: +2

A non-linear multi-objective transportation problem (NMOTP) refers to a special class of non-linear multi-objective problems. In this paper we review goal programming (GP) and fuzzy programming (FP) as two approaches for solving (NMOTP). Meanwhile, by extending Mohamed’s idea about fuzzy goal programming (FGP), we propose a fuzzy goal programming approach to solve the non-linear multi-objective...

This paper proposes a procedure for solving total time minimization in fuzzy transportation problem where the transportation time, source and destination parameters have been expressed as exponential fuzzy numbers by the decision maker. An algorithm is developed to obtain the optimal solution as exponential fuzzy number, which enables the decision maker to obtain more informing results and wide...