Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation Constraints

Zejian Qin, Bingyuan Cao, Shu-Cherng Fang, Xiao-Peng Yang
2018 Discrete Dynamics in Nature and Society  
The problem of geometric programming subject to max-product fuzzy relation constraints with discrete variables is studied. The major difficulty in solving this problem comes from nonconvexity caused by these product terms in the general geometric function and the max-product relation constraints. We proposed a 0-1 mixed integer linear programming model and adopted the branch-and-bound scheme to solve the problem. Numerical experiments confirm that the proposed solution method is effective.
doi:10.1155/2018/1610349 fatcat:cbv2o5ymfzeebpau6gfntrtcne