This paper studies the cost problem caused by the activity of the work-piece in the supply chain. The objective function is to find an optimal ordering that minimizes the total cost of production, transportation and s...This paper studies the cost problem caused by the activity of the work-piece in the supply chain. The objective function is to find an optimal ordering that minimizes the total cost of production, transportation and subcontracting. This paper presents a dynamic programming algorithm for the corresponding sorting problem, and finally demonstrates the feasibility of the algorithm through an example.展开更多
Two-agent single-machine scheduling problem is considered in this paper.Agent A’s goal is to minimize the sum of the total weighted delivery time and the total delivery cost,and agent B has the delivery time window.F...Two-agent single-machine scheduling problem is considered in this paper.Agent A’s goal is to minimize the sum of the total weighted delivery time and the total delivery cost,and agent B has the delivery time window.First,the NP-hardness of the general problem is proved,and then two special cases are considered.One case is that A’s jobs have agreeable ratio and this problem is still NP-hard.A pseudo-polynomial dynamic programming algorithm and a 32-approximation algorithm are designed.In the other case,A’s jobs have agreeable ratio and B’s jobs have deadline at the same time.This problem is polynomial solvable.展开更多
文摘This paper studies the cost problem caused by the activity of the work-piece in the supply chain. The objective function is to find an optimal ordering that minimizes the total cost of production, transportation and subcontracting. This paper presents a dynamic programming algorithm for the corresponding sorting problem, and finally demonstrates the feasibility of the algorithm through an example.
基金the National Natural Science Foundation of China(No.11371137)。
文摘Two-agent single-machine scheduling problem is considered in this paper.Agent A’s goal is to minimize the sum of the total weighted delivery time and the total delivery cost,and agent B has the delivery time window.First,the NP-hardness of the general problem is proved,and then two special cases are considered.One case is that A’s jobs have agreeable ratio and this problem is still NP-hard.A pseudo-polynomial dynamic programming algorithm and a 32-approximation algorithm are designed.In the other case,A’s jobs have agreeable ratio and B’s jobs have deadline at the same time.This problem is polynomial solvable.
