Linear Programming Subject to Max-Product Fuzzy Relation Inequalities with Discrete Variables

In this paper, we introduced the linear programming subject to max-product fuzzy relation inequalities with discrete variables to denote the optimization management model of physical distribution. It is shown that the inequalities constraints can be transformed into the problem of finding the all the potential minimal solution, and expressed by 2m linear equations in 0-1 mixed variables and mn inequalities. Then the original problem can converted into a 0-1 mixed-integer linear programming problem and then adopt to the branch-and-bound scheme to find optimal solution.