Multivariate stochastic comparisons of inspection and repair policies

Taizhong Hu and Ying Wei

Statistics & Probability Letters, 2001, vol. 53, issue 3, 315-324

Abstract: For a system consisting of n independent components, inspection and repair policies are compared in the sense of the usual multivariate stochastic order with respect to the partial orderings [greater-or-equal, slanted]b1 and [greater-or-equal, slanted]b2 on the set of permutations of {1,...,n}. A given permutation [pi] of {1,...,n} determines the order in which components are visited and inspected. We assume that the reliability of the ith component is given by Pi, where P1[less-than-or-equals, slant]P2[less-than-or-equals, slant]...[less-than-or-equals, slant]Pn. If [pi] and [pi]' are two permutations such that [pi][greater-or-equal, slanted]b1[pi]', we show that inspecting the system with [pi] is better than with [pi]' in the sense that more failed components are encountered or less time is used in completing an inspection. If each component is made up of t parts assembled in parallel, it is shown that, for three types of repair policies, the rank of preference of inspection procedures is consistent with the partial ordering [greater-or-equal, slanted]b2 on the permutations. Our main results strengthen those in Boland, El-Neweihi and Proschan (Ann. Appl. Probab. 1 (1991) 207).

Keywords: Inspection; policy; Repair; policy; k-out-of-n; system; Reliability; Stochastic; order; Partial; orderings; Permutation (search for similar items in EconPapers)
Date: 2001
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(01)00088-8
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:53:y:2001:i:3:p:315-324

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().