This research article aims to study a multi-objective linear fractional programming (FMOLFP) problem having fuzzy random coefficients as well pseudorandom decision variables. Initially, the FMOLFP model is converted single objective (FLP) model. Secondly, we show that optimal solution of an FLP resolved into class relative (LP) As result, some theorems LP combined with series solutions problems...

the product rate variation problem minimizes the variation in the rate at which different models of a common base product are produced on the assembly lines with the assumption of negligible switch-over cost and unit processing time for each copy of each model. the assumption of significant setup and arbitrary processing times forces the problem to be a two phase problem. the first phase determ...

This paper discusses a parallel machine scheduling problem in which the processing times of jobs and the release dates are independent uncertain variables with known uncertainty distributions. An uncertain programming model with multiple objectives is obtained, whose first objective is to minimize the maximum completion time or makespan, and second objective is to minimize the maximum tardiness...

We consider a bilevel programming problem. The leader’s objective function is assumed to be linear. The follower’s problem is a quantile minimization problem. It is assumed that the follower’s loss function is bilinear. We obtain a deterministic equivalent of the original problem in the case of a scalar random variable. In the case of the normal distribution of the random vector, an algorithm t...

in this paper, an optimization problem with a linear objective function subject to a consistent finite system of fuzzy relation inequalities using the max-product composition is studied. since its feasible domain is non-convex, traditional linear programming methods cannot be applied to solve it. we study this problem and capture some special characteristics of its feasible domain and optimal s...

In this paper we study a 1.5-dimensional cutting stock and assortment problem which includes determination of the number of different widths of roll stocks to be maintained as inventory and determination of how these roll stocks should be cut by choosing the optimal cutting pattern combinations. We propose a new multi-objective mixed integer linear programming (MILP) model in the form of simult...