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A Faster FPTAS for a Supply Chain Scheduling Problem to Minimize Holding Costs with Outsourcing

Author

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  • Shang-Chia Liu

    (Department of Business Administration, Fu Jen Catholic University, New Taipei City, Taiwan)

  • Chin-Chia Wu

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

Abstract

This paper addresses a scheduling problem in a flexible supply chain where the jobs can be either processed in house, or outsourced to a third-party supplier with the goal of minimizing the sum of holding and delivery costs subject to an upper bound on the outsourcing cost. The problem with identical job processing times has been proved as binary 𝒩𝒫-hard one and a fully polynomial time approximation scheme (FPTAS) that runs in O(n8 ε2 ) time has also been given. The aim of this paper is to derive a more effective FPTAS running in O(n4log nlogmax{n,1/ε} ε2 ) time for this problem.

Suggested Citation

  • Shang-Chia Liu & Chin-Chia Wu, 2016. "A Faster FPTAS for a Supply Chain Scheduling Problem to Minimize Holding Costs with Outsourcing," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-11, October.
    • Handle: RePEc:wsi:apjorx:v:33:y:2016:i:05:n:s0217595916500391
    DOI: 10.1142/S0217595916500391
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    References listed on IDEAS

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    1. Hans Kellerer & Ulrich Pferschy, 2004. "Improved Dynamic Programming in Connection with an FPTAS for the Knapsack Problem," Journal of Combinatorial Optimization, Springer, vol. 8(1), pages 5-11, March.
    2. Esaignani Selvarajah & Rui Zhang, 2014. "Supply chain scheduling to minimize holding costs with outsourcing," Annals of Operations Research, Springer, vol. 217(1), pages 479-490, June.
    3. Junfeng Dong & Ye Shi & Liang Liang, 2014. "Futures and Option Contracts of the Supply Chain Influenced by e-Business Market," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-22.
    4. Subrata Saha & S. P. Sarmah, 2015. "Supply Chain Coordination Under Ramp-Type Price and Effort Induced Demand Considering Revenue Sharing Contract," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-24.
    5. Thomas, Douglas J. & Griffin, Paul M., 1996. "Coordinated supply chain management," European Journal of Operational Research, Elsevier, vol. 94(1), pages 1-15, October.
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