Dynamic Programming for Single Batching Machine with Total Weighted Completion Time
The problem of total weighted completion time for single batching machine is an open problem until now. Accordingly, heuristics is very useful to the problem. We construct a nonlinear mathematical model for the problem with unbounded batching machine. A dynamic programming is also carried for the problem, which is proved to be at most 2 times of the optimal solution later. With an example, we show that the bound is tight.
batching machine dynamic programming worst case
Daguang Feng Peng Liu Suwen Wu Bo Liu
Science of Institute, Shenyang Agricultural University, Shenyang, China, 110866 School of Management, Shenyang University of Technology, Shenyang, 110870, China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
3798-3799
2010-05-26(万方平台首次上网日期,不代表论文的发表时间)