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Alternative approach to determine the common cycle time for a multi-item production system with discontinuous deliveries and failure in rework

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  • Chiu, Singa Wang
  • Pai, Fan-Yun
  • Wu, Wen Kuei

Abstract

This study employs an alternative approach to determine common production cycle time for a multi-item production system with discontinuous deliveries and failure in rework. A straightforward approach using algebraic derivation is proposed here to reexamine a specific common cycle time problem studied by Chiu et al. (2013a,b), where they used the conventional method with the need of applying first-order and second-order differentiations to system cost function for proof of convexity before deriving the optimal common cycle time. The result of this study is confirmed to be identical to that was obtained in Chiu et al. (2013a,b). This alternative approach enables practitioners who may not have sufficient knowledge of differential calculus to manage the real-life multi-item production systems more effectively.

Suggested Citation

  • Chiu, Singa Wang & Pai, Fan-Yun & Wu, Wen Kuei, 2013. "Alternative approach to determine the common cycle time for a multi-item production system with discontinuous deliveries and failure in rework," Economic Modelling, Elsevier, vol. 35(C), pages 593-596.
    • Handle: RePEc:eee:ecmode:v:35:y:2013:i:c:p:593-596
    DOI: 10.1016/j.econmod.2013.08.017
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    References listed on IDEAS

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    Cited by:

    1. Hesham K. Alfares & Ahmed M. Attia, 2017. "A supply chain model with vendor-managed inventory, consignment, and quality inspection errors," International Journal of Production Research, Taylor & Francis Journals, vol. 55(19), pages 5706-5727, October.
    2. Chiu, Yuan-Shyi Peter & Chen, Yung-Chung & Lin, Hong-Dar & Chang, Huei-Hsin, 2014. "Combining an improved multi-delivery policy into a single-producer multi-retailer integrated inventory system with scrap in production," Economic Modelling, Elsevier, vol. 39(C), pages 163-167.
    3. Shima Shafiee-Gol & Mohammad Mahdi Nasiri & Ata Allah Taleizadeh, 2016. "Pricing and production decisions in multi-product single machine manufacturing system with discrete delivery and rework," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 873-888, December.

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    More about this item

    Keywords

    Multi-item production; Common cycle time; Discontinuous deliveries; Failure in rework; Algebraic approach; Scrap;
    All these keywords.

    JEL classification:

    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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