Integrating modeling, algorithm design, and computational implementation to solve a large-scale non-linear mixed integer programming problem

An Imperialist Competitive Algorithm and a Mixed Integer Programming Formulation for the Capacitated Vehicle Routing Problem

The Vehicle Routing Problem (VRP), a famous problem of operation research, holds a central place in combinatorial optimization problems. In this problem, a fleet vehicles with Q capacity start to move from depot and return after servicing to customers in which visit only ones each customer and load more than its capacity not at all. The objective is to minimize the number of used vehicles and t...

A Mixed Integer Linear Programming Model for the Design of Remanufacturing Closed–loop Supply Chain Network

Closed-loop supply chain network design is a critical issue due to its impact on both economic and environmental performances of the supply chain. In this paper, we address the problem of designing a multi-echelon, multi-product and capacitated closed-loop supply chain network. First, a mixed-integer linear programming formulation is developed to maximize the total profit. The main contribution...

Application-oriented mixed integer non-linear programming

A Possibility Linear Programming Approach to Solve a Fuzzy Single Machine Scheduling Problem

This paper employs an interactive possibility linear programming approach to solve a single machine scheduling problem with imprecise processing times, due dates, as well as earliness and tardiness penalties of jobs. The proposed approach is based on a strategy of minimizing the most possible value of the imprecise total costs, maximizing the possibility of obtaining a lower total costs, and mi...

A Mixed-Integer Linear Programming Problem which is Efficiently Solvable