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《Journal of Baoji University of Arts and Sciences(Natural Science Edition)》 2018-04
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Branch and bound-DAPSO heuristic algorithm for solving a class of 0-1 knapsack problems

DUAN Yu-hong;School of Mathematics and Statistics,Ningxia University;  
Purposes—To propose a branch and bound-DAPSO heuristic algorithm for solving a class of nonlinear 0-1knapsack problems.Methods—In aforesaid algorithm,the lower bound of the optimal value was determined by solving linear programming relaxation.Meanwhile,the upper bound of the optimal value and good feasible solutions were determined with a new particle swarm optimization(DAPSO),and the branching was the one of simple 0-1variables.Result and Conclusion—The numerical results show that the branch and bound-DAPSO heuristic algorithm is not only better than the branch and bound algorithm but also overcomes the convergent difficulty of particle swarm optimization(PSO).
【Fund】: 宁夏自然科学基金项目资助(NZ15056)
【CateGory Index】: TP18;O221
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