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A Single-Machine Deteriorating Job Scheduling Problem With A Non-Regular Criterion

Author

Listed:
  • CHIN-CHIA WU

    (Department of Statistics Feng Chia University, Taichung, Taiwan)

  • WEN-CHIUNG LEE

    (Department of Statistics Feng Chia University, Taichung, Taiwan)

  • YAU-REN SHIAU

    (Department of Industrial Engineering and System Management Feng Chia University, Taichung, Taiwan)

Abstract

In scheduling environments with deterioration, a job processed later consumes more time than that same job when processed earlier. The deteriorating job scheduling problems have been widely studied in the last two decades. However, no result of the completion time variance has been reported. In this study, we consider the variance of job completion time minimization problem on a single machine. It is assumed that the job processing time is a simple linear function of its starting time. We show that an optimal schedule is V-shaped with respect to the job deteriorating rates. A heuristic algorithm utilized the V-shaped property is then proposed, and a computational experiment shows that the proposed heuristic algorithm is quite accurate.

Suggested Citation

  • Chin-Chia Wu & Wen-Chiung Lee & Yau-Ren Shiau, 2011. "A Single-Machine Deteriorating Job Scheduling Problem With A Non-Regular Criterion," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(03), pages 349-359.
    • Handle: RePEc:wsi:apjorx:v:28:y:2011:i:03:n:s0217595911003272
    DOI: 10.1142/S0217595911003272
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    References listed on IDEAS

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    1. Unknown, 2001. "2001 Front Materials: Fourth Quarter," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 16(4), pages 1-5.
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    Cited by:

    1. Chuanli Zhao & Hengyong Tang, 2016. "Scheduling Deteriorating Jobs with Availability Constraints to Minimize the Makespan," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-10, December.
    2. Na Yin & Liying Kang, 2015. "Minimizing Makespan in Permutation Flow Shop Scheduling with Proportional Deterioration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-12, December.

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