This paper uses the weighted L$_1-$norm to propose an algorithm for finding a well-dispersed subset of non-dominated solutions of multiple objective mixed integer linear programming problem. When all variables are integer it finds the whole set of efficient solutions. In each iteration of the proposed method only a mixed integer linear programming problem is solved and its optimal solutions gen...

This paper addresses the class of nonlinear mixed integer stochastic programming problems. In particular, we consider two-stage problems with nonlinearities both in the objective function and constraints, pure integer first stage and mixed integer second stage variables. We exploit the specific problem structure to develop a global optimization algorithm. The basic idea is to decompose the orig...

This paper uses the L1−norm and the concept of the non-dominated vector, topropose a method to find a well-dispersed subset of non-dominated (WDSND) vectorsof a multi-objective mixed integer linear programming (MOMILP) problem.The proposed method generalizes the proposed approach by Tohidi and Razavyan[Tohidi G., S. Razavyan (2014), determining a well-dispersed subset of non-dominatedvectors of...

Optimization as an enabling technology has been one of the big success stories in process systems engineering. In this paper we present first a general review of optimization and its applications to a variety of problems in process systems engineering. Next, we provide an overview of two key areas: nonlinear programming and logic-based discrete/continuous optimization. In particular, recent adv...

this paper presents a formulation of unit commitment for thermal units integrated with wind and solar energy systems and electrical vehicles with emphasizing on mixed integer nonlinear programming (minlp). the renewable energy resources are included in this model due to their low electricity cost and positive effect on environment. as well as, coordinated charging strategy of electrical vehicle...

cell formation problem mainly address how machines should be grouped and parts be processed in cells. in dynamic environments, product mix and demand change in each period of the planning horizon. incorporating such assumption in the model increases flexibility of the system to meet customer’s requirements. in this model, to ensure the reliability of the system in presence of unreliable machine...

this paper addresses a reliable facility location problem with considering facility capacity constraints. in reliable facility location problem some facilities may become unavailable from time to time. if a facility fails, its clients should refer to other facilities by paying the cost of retransfer to these facilities. hence, the fail of facilities leads to disruptions in facility location dec...