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題名 | Single-Machine Scheduling Problem with an Availability Constraint Under Simple Linear Deterioration=同時考慮退化性工作與機器使用受限單機排程之研究 |
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作者 | 許洲榮; 駱景堯; 蘇純繒; Hsu, Chou-jung; Low, Chinyao; Su, Chwen-tzeng; |
期刊 | 工業工程學刊 |
出版日期 | 20100500 |
卷期 | 27:3 2010.05[民99.05] |
頁次 | 頁189-198 |
分類號 | 494.542 |
語文 | eng |
關鍵詞 | 簡單線性退化; 總處理時間; 排程; 機器使用受限; Simple linear deterioration; Total completion time; Scheduling; Availability constraint; |
英文摘要 | In this article, we study a single-machine scheduling problem with simple linear deteriorating jobs, the processing times of which are an increasing function of their starting times. The objective is to minimize the total completion time. The addressed problem is first formulated as a mixed integer programming model and solved optimally by LINGO v11.0. Next, we present some important lemmas for the basis of solving the problem. Finally, an algorithm using these lemmas is developed. Thirty replications are tested for the problem. They reveal that the proposed algorithm solves the problem efficiently and effectively in obtaining the optimal solution. |
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