This paper addresses the problem of linear-fractional programming under uncertainty. The uncertainty here is understood as ambiguity coefficients’ values in optimized functional. We give two mathematical formulations problem. In first one, refers to numerator: there are several sets objective function coefficients, each coefficient can determine numerator problem’s criterion at stage its soluti...

Here, we consider single vendor-buyer model with multi-product and multi-customer and multi-facility location-production-distribution problem. It is assumed that the players of the supply chain are coordinated by sharing information. Vendor manufactures produce different products at different plants with limited capacities and then distribute the products to the consumers according to determini...

In the present paper we present a new method for solving a class of single stage single constraints linear fractional programming (LFP) problem. The proposed method is based on transformation the objective value and the constraints also. After reducing the fractional program in to equivalent linear program with the help of transformation technique, after that we apply Simplex method to find obj...

In an earlier work [Pop and Stancu Minasian, 2008], we proposed a method of solving the fully fuzzified linear fractional programming (FFLFP) problem. In this paper, we propose another method of solving the FFLFP problem. First, analogically using the Charnes-Cooper method, we transform the linear fractional programming problem into a linear one. Next, problem of maximizing a function with tria...

Abstract. The paper focuses its attention on solving Multi-objective intuitionistic fuzzy linear programming problem and Multi-objective intuitionistic fuzzy linear fractional programming problem by using weighting factor in which the constraints and the cost coefficients are intuitionistic fuzzy numbers. Weighting factor is used to convert problems that are multi-objective into single objectiv...

In this paper we consider a global optimization approach for solving fuzzy fractional posynomial geometric programming problems. The problem of concern involves positive trapezoidal fuzzy numbers in the objective function. For obtaining an optimal solution, Dinkelbach’s algorithm which achieves the optimal solution of the optimization problem by means of solving a sequence of subproblems ...

A fractional minimal cost flow problem under linear type belief degree based uncertainty is studied for the first time. This type of uncertainty is useful when no historical information of an uncertain event is available. The problem is crisped using an uncertain chance-constrained programming approach and its non-linear objective function is linearized by a variable changing approach. An illus...

BitTorrent is a peer-to-peer computer network protocol for sharing content in an efficient and scalable way. Modeling and analysis of the popular private BitTorrent communities has become an active area of research. In these communities users are strongly incentivized to contribute their resources, i.e., to share their files. In BitTorrent terminology, users who have finished downloading files ...

Integer linear fractional programming problem with multiple objective MOILFP is an important field of research and has not received as much attention as did multiple objective linear fractional programming. In this work, we develop a branch and cut algorithm based on continuous fractional optimization, for generating the whole integer efficient solutions of the MOILFP problem. The basic idea of...