As the most significant water project,the Three Gorges Project (TGP) was designed to take care of multiple objectives for water utilization such as flood control,power generation and navigation.The implementation of t...As the most significant water project,the Three Gorges Project (TGP) was designed to take care of multiple objectives for water utilization such as flood control,power generation and navigation.The implementation of the project improved the flood safety level of Jingjiang reach to more than 100-year return period,which reduced greatly the flood risk at the mid-lower reaches of Changjiang River,produce huge quantity of energy for the central,east and south China,and improved significantly the navigation conditions of Chuanjiang River.Meanwhile,the operation of the TGP in dry season which compensate the downstream water resources,will as well deepen the navigation channel and thus improve the navigation conditions in the middle river reach.With the increasing demands raised from various aspects of the society,new requirements will be made for the TGP for the purpose of harnessing,development and protection of the Yangtze River Basin.Therefore,it will be a long-term task for the operation of TGP on how to optimize the water resources utilization and implement an effective operation.展开更多
The objective of this work was to determine the location of emergency material warehouses. For the site selection problem of emergency material warehouses, the triangular fuzzy numbers are respectively demand of the d...The objective of this work was to determine the location of emergency material warehouses. For the site selection problem of emergency material warehouses, the triangular fuzzy numbers are respectively demand of the demand node, the distance between the warehouse and demand node and the cost of the warehouse, a bi-objective programming model was established with minimum total cost of the system and minimum distance between the selected emergency material warehouses and the demand node. Using the theories of fuzzy numbers, the fuzzy programming model was transformed into a determinate bi-objective mixed integer programming model and a heuristic algorithm for this model was designed. Then, the algorithm was proven to be feasible and effective through a numerical example. Analysis results show that the location of emergency material warehouse depends heavily on the values of degree a and weight wl. Accurate information of a certain emergency activity should be collected before making the decision.展开更多
In this paper, a new triangular decomposition algorithm is proposed for ordinary differential polynomial systems, which has triple exponential computational complexity. The key idea is to eliminate one algebraic varia...In this paper, a new triangular decomposition algorithm is proposed for ordinary differential polynomial systems, which has triple exponential computational complexity. The key idea is to eliminate one algebraic variable from a set of polynomials in one step using the theory of multivariate resultant. This seems to be the first differential triangular decomposition algorithm with elementary computation complexity.展开更多
文摘As the most significant water project,the Three Gorges Project (TGP) was designed to take care of multiple objectives for water utilization such as flood control,power generation and navigation.The implementation of the project improved the flood safety level of Jingjiang reach to more than 100-year return period,which reduced greatly the flood risk at the mid-lower reaches of Changjiang River,produce huge quantity of energy for the central,east and south China,and improved significantly the navigation conditions of Chuanjiang River.Meanwhile,the operation of the TGP in dry season which compensate the downstream water resources,will as well deepen the navigation channel and thus improve the navigation conditions in the middle river reach.With the increasing demands raised from various aspects of the society,new requirements will be made for the TGP for the purpose of harnessing,development and protection of the Yangtze River Basin.Therefore,it will be a long-term task for the operation of TGP on how to optimize the water resources utilization and implement an effective operation.
基金Project(71071162)supported by the National Natural Science Foundation of China
文摘The objective of this work was to determine the location of emergency material warehouses. For the site selection problem of emergency material warehouses, the triangular fuzzy numbers are respectively demand of the demand node, the distance between the warehouse and demand node and the cost of the warehouse, a bi-objective programming model was established with minimum total cost of the system and minimum distance between the selected emergency material warehouses and the demand node. Using the theories of fuzzy numbers, the fuzzy programming model was transformed into a determinate bi-objective mixed integer programming model and a heuristic algorithm for this model was designed. Then, the algorithm was proven to be feasible and effective through a numerical example. Analysis results show that the location of emergency material warehouse depends heavily on the values of degree a and weight wl. Accurate information of a certain emergency activity should be collected before making the decision.
基金supported by the National Natural Science Foundation of China under Grant No.60821002the National Key Basic Research Project of China
文摘In this paper, a new triangular decomposition algorithm is proposed for ordinary differential polynomial systems, which has triple exponential computational complexity. The key idea is to eliminate one algebraic variable from a set of polynomials in one step using the theory of multivariate resultant. This seems to be the first differential triangular decomposition algorithm with elementary computation complexity.
