1B2 AN APPROXIMATION ALGORITHM FOR MAXIMIZING WEIGHTED NUMBER OF JUST-IN-TIME JOBS ON UNRELATED PARALLEL MACHINES(Technical session 1B: Machine and shop scheduling)
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概要
- 論文の詳細を見る
We are concerned with a scheduling problem, in which jobs are scheduled non-preemptively on unrelated parallel machines, with the objective to maximize the weighted number of jobs that are completed exactly at their due dates, i.e., just-in-time jobs. We propose an approximation algorithm for solving this problem. It achieves approximation ratio k/m and runs in time O(m^kn^(k+1)), where n is the number of jobs, m is the number of machines, and k ∈ {1, ... , m} is a parameter of the proposed algorithm.
- 2011-07-02
著者
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Sung Shao-Chin
Department of Industrial and Systems Engineering, Aoyama Gakuin University
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Shigezumi Takeya
Department of Industrial and Systems Engineering, Aoyama Gakuin University
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Furuya Yuichi
Department of Industrial and Systems Engineering, Aoyama Gakuin University
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Yamazaki Kiyotaka
Department of Industrial and Systems Engineering, Aoyama Gakuin University
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Watanabe Kouhei
Department of Industrial and Systems Engineering, Aoyama Gakuin University
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- 1B2 AN APPROXIMATION ALGORITHM FOR MAXIMIZING WEIGHTED NUMBER OF JUST-IN-TIME JOBS ON UNRELATED PARALLEL MACHINES(Technical session 1B: Machine and shop scheduling)