چکیده:
This article examines a new approach which solves Linear Programming (LP) problems with stochastic parameters as a generalized model of the fuzzy mathematical model analyzed by Verdegay. An expectation model is provided for solving the problem. A multi-parametric programming is applied to access to a solution with different desired degrees as well as problem constraints. Additionally, we present a numerical example to demonstrate the state and method efficiency.
خلاصه ماشینی:
"Nasseri and Bavandi (2017) considered a Stochastic Interval-Valued Linear Fractional Programming (SIVLFP) problem, where in their model, the coefficients and scalars of the objective function are fractional intervals, and technological coefficients and the quantities of the constraints in the mentioned model were random variables with the specific distribution.
Recently, Attari and Nasseri (2014) introduced a novel concept for the Fuzzy Mathematical Programming (FMP) which concerns the feasibility of the optimal solutions of these models as an extension of the classical concept of feasibility, also it has appeared in the literature of operations research.
Based on Verdegays method which is applied for fuzzy linear programming, we suggest an amelioration method to solve FLP programs which includes stochastic parameters in the objective function.
Furthermore, when membership functions of the constraints are considered in the linear form, we have(View the image of this page)Now, let us to begin with the concept of feasible solution to the fuzzy programming problem with stochastic parameters of Model (3).
(View the image of this page) with the optimal objective valuec T x * = 2100Now, in order to obtain a maximum a - efficient solution for the above mentioned problem, it is necessary to solve the following multi- parametric LP problem, By solving the above parametric linear model, we achieve the optimal solution below: The above results conclude that the best value for the satisfaction degree of the obtained optimal solution is achieved."