Title
Using Repair-Depot System Reliability To Determine The Distribution Of Supportability Turn-Around Time
Keywords
Downstream repair completion time; Numerical analysis; Reliability assurance; Root-finding under uncertainty; Scheduling repair start-times; Supportability turnaround time
Abstract
Summary &c Conclusions -Assuming constant repair times, Linton, et al (1995) used ou 'expression for the reliability of the system for repairing failed units (FU) at a repairdepot' to compute the longest repair time for a newly failed unit (NFU) which assures a given reliability level (also termed the NFU supportability turn-around time, STAT) in terms of the: • constant failure rate for all components, • number of spares (s) on-hand, • number (n) of FU either 'under repair' or 'scheduled to begin repair in the future', • downstream repair completion times (DRCT) for FU, Since subtraction of the repair time for a NFU from its STATvalue yields the NFU's latest, repair start-time (LRST) which assures a given repair-depot system reliability (RDSR), STATvalues are important for scheduling RST. This paper assumes that repair time is a random variable and, consequently, DRCT is a random variable. As shown in Linton, et al, (1995), STAT is the zero of a nonlinear, non-polynomial function of DRCT; thus, STAT is also a random variable, and determining the distribution of STAT is a stochastic root-finding problem. For n = 1 and s > 0, numerical analysis and probability theory are used to find the Cdf and pdf of STAT in terms of any repair time pdf. Using the pdf's for STAT and repair time, expressions are derived for • E{LRST} for a NFU, • q = Pr{(repair time + c) < STAT}, c = 0 and c =E{LRST}. When the repair time Cdf is exponential or 2-Brlang, numerical values are obtained for 7 and E{LRST), and it is shown how these values may be used by depot management to schedule RST for a NFU. 01999 IEEE.
Publication Date
12-1-1999
Publication Title
IEEE Transactions on Reliability
Volume
48
Issue
4
Number of Pages
388-391
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1109/24.814521
Copyright Status
Unknown
Socpus ID
0033317168 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0033317168
STARS Citation
Linton, D. G., "Using Repair-Depot System Reliability To Determine The Distribution Of Supportability Turn-Around Time" (1999). Scopus Export 1990s. 4253.
https://stars.library.ucf.edu/scopus1990/4253