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Scheduling problems on tardiness penalty and earliness award with simply linear processing time
Authors:Ying Yu  Zhen Lu  Shi-jie Sun  Long-min He  Jing-di Hu
Institution:1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China;Guangsha College of Applied Constraction Technology, Dongyang 322100, Zhejiang, P. R. China
2. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China
3. Guangsha College of Applied Constraction Technology, Dongyang 322100, Zhejiang, P. R. China
Abstract:In this paper, a single-machine scheduling model with a given common due date and simple linear processing times was considered. The objective is the total weighted tardiness penalty and earliness award. Some polynomial time solvable cases for this problem are given. A dynamic programming algorithm was provided and a branch and bound algorithm for general case of the problem was provided based on a rapid method for estimating the lower bound.
Keywords:scheduling  single machine  tardiness  earliness
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