This study introduces a green location, routing and inventory problem with customer satisfaction, backup distribution centers and risk of routes in the form of a non-linear mixed integer programming model. In this regard, time window is considered to increase the customer satisfaction of the model and transportation risks is taken into account for the reliability of the system. In addition, dif...

a characteristic of data envelopment analysis (dea) is to allow individual decision making units (dmus) to select the factor weights which are the most advantageous for them in calculating their efficiency scores. this flexibility in selecting the weights, on the other hand, deters the comparison among dmus on a common base. for dealing with this difficulty and assessing all the dmus on the sam...

a characteristic of data envelopment analysis (dea) is to allow individual decision making units (dmus) to select the factor weights that are the most advantages for them in calculating their efficiency scores. this flexibility in selecting the weights, on the other hand, deters the comparison among dmus on a common base. for dealing with this difficulty and assessing all the dmus on the same s...

Computing the exact ideal and nadir criterion values is a very ‎important subject in ‎multi-‎objective linear programming (MOLP) ‎problems‎‎. In fact‎, ‎these values define the ideal and nadir points as lower and ‎upper bounds on the nondominated points‎. ‎Whereas determining the ‎ideal point is an easy work‎, ‎because it is equivalent to optimize a ‎convex function (linear function) over a con...

Multi objective quadratic fractional programming (MOQFP) problem involves optimization of several objective functions in the form of a ratio of numerator and denominator functions which involve both contains linear and quadratic forms with the assumption that the set of feasible solutions is a convex polyhedral with a nite number of extreme points and the denominator part of each of the objecti...

in this paper, a mathematical modeling is developed for plastic analysis of planar frames. to this end, the researcher tried to design an optimization model in linear format in order to solve large scale samples. the computational result of cpu time requirement is shown for different samples to prove efficiency of this method for large scale models. the fundamental concept of this model is obta...

Abstract Optimization problems with multiple objectives and many input variables inherit challenges from both large-scale optimization multi-objective optimization. To solve the problems, decomposition transformation methods are frequently used. In this study, an improved control variable analysis is proposed based on dominance diversity in Pareto Further, method used a cooperative coevolution ...