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Interval availability analysis of a two-echelon, multi-item system

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  • Al Hanbali, Ahmad
  • van der Heijden, Matthieu

Abstract

In this paper we analyze the interval availability of a two-echelon, multi-item spare part inventory system. We consider a scenario inspired by a situation that we encountered at Thales Netherlands, a manufacturer of naval sensors and naval command and control systems. Modeling the complete system as a Markov chain we analyze the interval availability and we compute in closed and exact form the expectation and the variance of the availability during a finite time interval [0,T]. We use these characteristics to approximate the survival function using a Beta distribution, together with the probability that the interval availability is equal to one. Comparison of our approximation with simulation shows excellent accuracy, especially for points of the distribution function below the mean value. The latter points are practically most relevant.

Suggested Citation

  • Al Hanbali, Ahmad & van der Heijden, Matthieu, 2013. "Interval availability analysis of a two-echelon, multi-item system," European Journal of Operational Research, Elsevier, vol. 228(3), pages 494-503.
    • Handle: RePEc:eee:ejores:v:228:y:2013:i:3:p:494-503
    DOI: 10.1016/j.ejor.2013.02.009
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    References listed on IDEAS

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    Cited by:

    1. Alvarez, E.M. & van der Heijden, M.C. & Vliegen, I.M.H. & Zijm, W.H.M., 2014. "Service differentiation through selective lateral transshipments," European Journal of Operational Research, Elsevier, vol. 237(3), pages 824-835.
    2. Xian Zhao & Jing Zhang & Xiaoyue Wang, 2019. "Joint optimization of components redundancy, spares inventory and repairmen allocation for a standby series system," Journal of Risk and Reliability, , vol. 233(4), pages 623-638, August.
    3. Zhao, Qian Qian & Yun, Won Young, 2019. "Storage availability of one-shot system under periodic inspection considering inspection error," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 120-133.
    4. Ge, Qianru & Peng, Hao & van Houtum, Geert-Jan & Adan, Ivo, 2018. "Reliability optimization for series systems under uncertain component failure rates in the design phase," International Journal of Production Economics, Elsevier, vol. 196(C), pages 163-175.
    5. Lamghari-Idrissi, Douniel & Basten, Rob & van Houtum, Geert-Jan, 2020. "Spare parts inventory control under a fixed-term contract with a long-down constraint," International Journal of Production Economics, Elsevier, vol. 219(C), pages 123-137.

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