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Allocation of redundancies in systems: a general dependency-base framework

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  • Hamideh Jeddi

    (Ferdowsi University of Mashhad)

  • Mahdi Doostparast

    (Ferdowsi University of Mashhad)

Abstract

Manufacturers and consumers prefer reliable products, or systems in general, since they need to assure that systems work satisfactory for given mission times. The redundancy allocation to original system components is a common technique to improve reliabilities. But, allocation of redundants is not an easy task and must be considered properly with respect to environmental working conditions and possible restrictions such as cost, volume and weight. Therefore, the problem of finding optimal allocations is important and studied extensively in literature. The existing studies usually assume restrictive conditions such as stochastically independent component and spare lifetimes. This article deals with this problem under a general setting in which component and spare lifetimes can be dependent and heterogeneous. Two common policies, called active and standby, are studied in details. Stochastic orders are implemented for comparing various allocation policies. Findings of this article are derived under general conditions and hold for arbitrary dependency structures among lifetimes. Illustrative examples are also given.

Suggested Citation

  • Hamideh Jeddi & Mahdi Doostparast, 2022. "Allocation of redundancies in systems: a general dependency-base framework," Annals of Operations Research, Springer, vol. 312(1), pages 259-273, May.
  • Handle: RePEc:spr:annopr:v:312:y:2022:i:1:d:10.1007_s10479-020-03795-2
    DOI: 10.1007/s10479-020-03795-2
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    References listed on IDEAS

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    1. da Costa Bueno, Vanderlei & Martins do Carmo, Iran, 2007. "Active redundancy allocation for a k-out-of-n:F system of dependent components," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1041-1051, January.
    2. Duan Li & Xiaoling Sun & Ken McKinnon, 2005. "An Exact Solution Method for Reliability Optimization in Complex Systems," Annals of Operations Research, Springer, vol. 133(1), pages 129-148, January.
    3. Biswajit Sarkar & Shib Sankar Sana & Kripasindhu Chaudhuri, 2010. "Optimal reliability, production lot size and safety stock in an imperfect production system," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(4), pages 467-490.
    4. Zhang, Yiying, 2018. "Optimal allocation of active redundancies in weighted k-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 135(C), pages 110-117.
    5. Belzunce, Félix & Martínez-Puertas, Helena & Ruiz, José M., 2013. "On allocation of redundant components for systems with dependent components," European Journal of Operational Research, Elsevier, vol. 230(3), pages 573-580.
    6. Valdés, José E. & Zequeira, Rómulo I., 2003. "On the optimal allocation of an active redundancy in a two-component series system," Statistics & Probability Letters, Elsevier, vol. 63(3), pages 325-332, July.
    7. Mitali Sarkar & Sungjun Kim & Jihed Jemai & Baishakhi Ganguly & Biswajit Sarkar, 2019. "An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System," Energies, MDPI, vol. 12(15), pages 1-19, July.
    8. Brito, Gerandy & Zequeira, Romulo I. & Valdés, José E., 2011. "On the hazard rate and reversed hazard rate orderings in two-component series systems with active redundancies," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 201-206, February.
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