A discrete differential evolution algorithm combined with the branch and bound method is developed to solve the integer linear bilevel programming problems, in which both upper level and lower level variables are forc...A discrete differential evolution algorithm combined with the branch and bound method is developed to solve the integer linear bilevel programming problems, in which both upper level and lower level variables are forced to be integer. An integer coding for upper level variables is adopted, and then a discrete differential evolution algorithm with an improved feasibility-based comparison is developed to directly explore the integer solution at the upper level. For a given upper level integer variable, the lower level integer programming problem is solved by the existing branch and bound algorithm to obtain the optimal integer solution at the lower level. In the same framework of the algorithm, two other constraint handling methods, i.e. the penalty function method and the feasibility-based comparison method are also tested. The experimental results demonstrate that the discrete differential evolution algorithm with different constraint handling methods is effective in finding the global optimal integer solutions, but the improved constraint handling method performs better than two compared constraint handling methods.展开更多
The parallel algorithms based on domain decomposition method (DDM) have become one of foundations of asynchronous parallel algorithms on MIMD computers for large-scale scientific computations. We can find in this pape...The parallel algorithms based on domain decomposition method (DDM) have become one of foundations of asynchronous parallel algorithms on MIMD computers for large-scale scientific computations. We can find in this paper that DDM can also become the foundations of Object-Oriented parallel computational model for larch-scale scientific computations, In the paper, Multi-Agent parallel computational model based on DDNI is proposed. The implements of software environment on the model for solving elliptic pantal differential equations can be got from the paper. Especially an application instance for solving Dirichlet problems of Poisson equation is given. Some conclusions are drawn in the end.展开更多
基金supported by the Natural Science Basic Research Plan in Shaanxi Province of China(2013JM1022)the Fundamental Research Funds for the Central Universities(K50511700004)
文摘A discrete differential evolution algorithm combined with the branch and bound method is developed to solve the integer linear bilevel programming problems, in which both upper level and lower level variables are forced to be integer. An integer coding for upper level variables is adopted, and then a discrete differential evolution algorithm with an improved feasibility-based comparison is developed to directly explore the integer solution at the upper level. For a given upper level integer variable, the lower level integer programming problem is solved by the existing branch and bound algorithm to obtain the optimal integer solution at the lower level. In the same framework of the algorithm, two other constraint handling methods, i.e. the penalty function method and the feasibility-based comparison method are also tested. The experimental results demonstrate that the discrete differential evolution algorithm with different constraint handling methods is effective in finding the global optimal integer solutions, but the improved constraint handling method performs better than two compared constraint handling methods.
文摘The parallel algorithms based on domain decomposition method (DDM) have become one of foundations of asynchronous parallel algorithms on MIMD computers for large-scale scientific computations. We can find in this paper that DDM can also become the foundations of Object-Oriented parallel computational model for larch-scale scientific computations, In the paper, Multi-Agent parallel computational model based on DDNI is proposed. The implements of software environment on the model for solving elliptic pantal differential equations can be got from the paper. Especially an application instance for solving Dirichlet problems of Poisson equation is given. Some conclusions are drawn in the end.
