Simple bounds on availability in a model with unknown life and repair distributions
type: Item
instance of: scholarly article
title: Simple bounds on availability in a model with unknown life and repair distributions
zbMATH Open document ID: 0532.62077
DOI: 10.1016/0378-3758(83)90033-2
author: Manish C. Bhattacharjee
author: Ranjit Kandar
published in: Journal of Statistical Planning and Inference
publication date: 1983-01-01T00:00:00Z
review text: Consider a one-unit system supported by a repair facility and a single spare. When the operating unit fails the spare (if available) takes over as a new operating unit and the failed unit is sent for repair. The system fails when the currently operating unit fails before the repair of the currently failed unit is completed. It is assumed that a repaired unit is as good as new. Let F and G be, respectively, the distributions of the life and the repair times. Bounds on the system availability are derived under various assumptions on F and G. Most of the bounds are simple functions of the means and variances of F and G. The assumptions on F and G are of the kind: \(F\leq^{st}G\) or that F or G are IFR, NBU and so on.
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 60K10
Mathematics Subject Classification ID: 90B25
zbMATH DE Number: 3844880
zbMATH Keywords: bounds
zbMATH Keywords: availability
zbMATH Keywords: MTBF
zbMATH Keywords: MTTR
zbMATH Keywords: DFR repairs
zbMATH Keywords: DMRL lives
zbMATH Keywords: nonparametric life distribution properties
reviewed by: Moshe Shaked
MaRDI profile type: Publication
full work available at URL: 0378-3758(83)90033-2
OpenAlex ID: W2054496418
cites work: Q4158362
cites work: A note on a maximin disposal policy under nwue pricing
cites work: Q5812325
cites work: The hnbue and hnwue classes of life distributions
description: scientific article; zbMATH DE number 3844880