Single-machine group scheduling with deteriorating jobs and allotted resource |
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Authors: | Dan Wang Yunzhang Huo Ping Ji |
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Institution: | 1. School of Computer, Shenyang Aerospace University, Shenyang?, 110136, China 2. Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, China
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Abstract: | In this paper, we consider single-machine scheduling problems with deteriorating jobs and resource allocation in a group technology environment. In the proposed model of this paper the actual processing time of a job depend on its starting time and the amount of resource allocated to it, and the actual setup time of a group depend on its starting time and the amount of resource allocated. Deterioration effect and two resource allocation functions are examined for minimizing the weighted sum of makespan and total resource cost. For the linear resource allocation function and the convex resource allocation function, we show that the problem remains polynomially solvable under certain conditions. |
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