Separable programming/duality approach to solving the multi-product Newsboy/Gardener Problem with linear constraints

Numerical method for solving optimal control problem of the linear differential systems with inequality constraints

In this paper, an efficient method for solving optimal control problems of the linear differential systems with inequality constraint is proposed. By using new adjustment of hat basis functions and their operational matrices of integration, optimal control problem is reduced to an optimization problem. Also, the error analysis of the proposed method is nvestigated and it is proved that the orde...

A New Method for Solving the Fully Interval Bilevel Linear Programming Problem with Equal Constraints

Most research on bilevel linear programming problem  is focused on its deterministic form, in which the coefficients and decision variables in the objective functions and constraints are assumed to be crisp. In fact, due to inaccurate information, it is difficult to know exactly values of coefficients that used to construct a bilevel model. The interval set theory is suitable for describing and...

Solving multi objective linear Bilevel multi follower programming problem

An Approach for Solving the Multi-product Newsboy Problem

We propose a solution methodology for the multi-product newsboy model with constraints that is based on quadratic programming and a triangular presentation of the area under the cumulative probability distribution function of the demand. The methodology allows easier application of this important inventory control model that could be of particular interest in supply chain management as well as...

Separable programming problems with the max-product fuzzy relation equation constraints

In this paper, the separable programming problem subject to Fuzzy Relation Equation (FRE) constraints is studied. It is decomposed to two subproblems with decreasing and increasing objective functions with the same constraints. They are solved by the maximum solution and one of minimal solutions of its feasible domain, respectively. Their combination produces the original optimal solution. The ...