As a new variant of vehicle routing problem( VRP),a finished vehicle routing problem with time windows in finished vehicle logistics( FVRPTW) is modeled and solved. An optimization model for FVRPTW is presented with t...As a new variant of vehicle routing problem( VRP),a finished vehicle routing problem with time windows in finished vehicle logistics( FVRPTW) is modeled and solved. An optimization model for FVRPTW is presented with the objective of scheduling multiple transport routes considering loading constraints along with time penalty function to minimize the total cost. Then a genetic algorithm( GA) is developed. The specific encoding and genetic operators for FVRPTW are devised.Especially,in order to accelerate its convergence,an improved termination condition is given. Finally,a case study is used to evaluate the effectiveness of the proposed algorithm and a series of experiments are conducted over a set of finished vehicle routing problems. The results demonstrate that the proposed approach has superior performance and satisfies users in practice. Contributions of the study are the modeling and solving of a complex FVRPTW in logistics industry.展开更多
In this paper, the expected discounted penalty function is considered in the risk process with the time-correlated claims, that is, every main claim can cause a by-claim but the occurrence of the by-claim may be delay...In this paper, the expected discounted penalty function is considered in the risk process with the time-correlated claims, that is, every main claim can cause a by-claim but the occurrence of the by-claim may be delayed. By the renewal argument, it is shown that the expected value satisfies a system of integro-differential equations. Moreover, the explicit expression for the Laplace transform of the expected value is derived by means of Rouche＇s theorem. A numerical example is also given for illustrating the result.展开更多
基金Supported by the National Natural Science Foundation of China(No.51565036)
文摘As a new variant of vehicle routing problem( VRP),a finished vehicle routing problem with time windows in finished vehicle logistics( FVRPTW) is modeled and solved. An optimization model for FVRPTW is presented with the objective of scheduling multiple transport routes considering loading constraints along with time penalty function to minimize the total cost. Then a genetic algorithm( GA) is developed. The specific encoding and genetic operators for FVRPTW are devised.Especially,in order to accelerate its convergence,an improved termination condition is given. Finally,a case study is used to evaluate the effectiveness of the proposed algorithm and a series of experiments are conducted over a set of finished vehicle routing problems. The results demonstrate that the proposed approach has superior performance and satisfies users in practice. Contributions of the study are the modeling and solving of a complex FVRPTW in logistics industry.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.10301011,70271069)
文摘In this paper, the expected discounted penalty function is considered in the risk process with the time-correlated claims, that is, every main claim can cause a by-claim but the occurrence of the by-claim may be delayed. By the renewal argument, it is shown that the expected value satisfies a system of integro-differential equations. Moreover, the explicit expression for the Laplace transform of the expected value is derived by means of Rouche＇s theorem. A numerical example is also given for illustrating the result.
