SINGLE MACHINE SLACK DUE-WINDOW SCHEDULING
WITH LINEAR RESOURCE ALLOCATION, AGING EFFECT,
AND A DETERIORATING RATE-MODIFYING ACTIVITY
Bo Cheng1, Ling Cheng2 1Department of Applied Mathematics
School of Finance
Guangdong University of Foreign Studies
Guangzhou, 510420, P.R. CHINA 2School of Electrical and Information Engineering
University of the Witwatersrand
Private Bag 3, Wits. 2050
Johannesburg, SOUTH AFRICA
In this paper, we consider the slack due-window method and investigate single machine scheduling with a deteriorating rate-modifying activity, linear resource allocation and aging effect. The objective is to minimize the total cost caused by the due-window location, the due-window size, the earliness and tardiness with respect to a slack due-window, and resource consumption. We provide a polynomial-time algorithm to solve the corresponding problem.
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