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On optimal replacement-repair policy for multi-state deteriorating products under renewing free replacement warranty

Vahdani, H ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1016/j.camwa.2010.12.032
  3. Publisher: 2011
  4. Abstract:
  5. In this paper a replacement-repair model is developed to study a renewing free replacement warranty (RFRW) for a class of multi-state deteriorating repairable products. After a replacement, the product warranty is renewed. Two parameters affect the manufacturer's decision to minimally repair or replace a failed item: the product deterioration level at the time of failure and the remaining warranty time. We derive an optimal replacement-repair policy to minimise the expected warranty servicing cost per item sold. In the case of a product with two different working states, we are able to explicitly find the optimal values of the replacement-repair parameters using the Adomian decomposition method. In general, for N>2, it is impossible to find the optimal parameter values analytically. Hence, a computational procedure for finding these optimal values is proposed. For more clarification, numerical examples are also presented
  6. Keywords:
  7. Maintenance ; Adomian decomposition ; Adomian Decomposition Method ; Computational procedures ; Deteriorating products ; Deterioration process ; Multi state ; Numerical example ; Optimal parameter ; Optimal values ; Product warranty ; Renewing free-replacement warranty ; Repair models ; Repair policy ; Repairable products ; Two parameter ; Warranty servicing costs ; Working state ; Deterioration ; Optimal systems ; Optimization ; Repair
  8. Source: Computers and Mathematics with Applications ; Volume 61, Issue 4 , February , 2011 , Pages 840-850 ; 08981221 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0898122110009375