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Discrete Repair-Cost Limit Replacement Policies With/Without Imperfect Repair

Author

Listed:
  • KAZUKI IWAMOTO

    (Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan)

  • TADASHI DOHI

    (Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, Japan)

  • NAOTO KAIO

    (Faculty of Economic Sciences, Hiroshima Shudo University, 1-1-1 Ozukahigashi, Asaminami-ku, Hiroshima 731-3195, Japan)

Abstract

This paper addresses statistical estimation problems of the optimal repair-cost limits minimizing the long-run average costs per unit time in discrete seting. Two discrete repair-cost limit replacement models with/without imperfect repair are considered. We derive the optimal repair-cost limits analytically and develop the statistical non-parametric procedures to estimate them from the complete sample of repair cost. Then the discrete total time on test (DTTT) concept is introduced and applied to propose the resulting estimators. Numerical experiments through Monte Carlo simulation are provided to show their asymptotic convergence properties as the number of repair-cost data increases. A comprehensive bibliography in this research topic is also provided.

Suggested Citation

  • Kazuki Iwamoto & Tadashi Dohi & Naoto Kaio, 2008. "Discrete Repair-Cost Limit Replacement Policies With/Without Imperfect Repair," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(06), pages 735-751.
    • Handle: RePEc:wsi:apjorx:v:25:y:2008:i:06:n:s0217595908001985
    DOI: 10.1142/S0217595908001985
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