Stochastic analysis of a two-unit cold standby system with two-stage repair and waiting time

Abstract

In this study we investigated the cost-benefit analysis of a two-unit cold standby system with two-stage repair of a failed unit. We discuss the concept of waiting time with two-stage repair for a two-unit cold standby system. The repair process is divided into two stages. In the first stage, the repairing process of the unit is started but it does not get completed; instead the process is completed in the second stage. The elapsed time between two stages is called the waiting time. Techniques of regenerative point processes have been used to measure the effectiveness. The time dependent availability, steady state availability, reliability, (MTTF) and profit function were obtained numercially and graphically. The MTTF, the steady-state availability and the profit function decreased with respect to the increase of failure rate and waiting rate.

Analysis of Reliability Characteristic of a System

“…This paper describes an improvement over the Said and Sherbeny (2010).They analyzed a two-unit cold standby system with two stage repair and waiting time. In this paper we analyzed a two dis-similar component system.…”

A Repairable System Supported by Two Spare Units and Serviced by Two Types of Repairers

“…Yu et al [7] designs a maintainable cold standby system which minimizes the system cost rate subject to availability constraint. El-Said and El-Sherbeny [8] investigates the cost-benefit analysis of a two-unit cold standby system with two-stage repair with waiting time in between.…”

Probabilistic Analysis of a Ceramic Tile Production System Considering Various Redundant Subsystems and Inspection

“…To meet the challenge and expectation of the public, various reliability models have been elaborated since long by sevaral researchers taking into account different circumstances/aspects and acquiring system performance influencing measures. Kulshreshtha [1] investigated a multi-component system, EL-Sherbeny [2] analysed two-stage repair time system, Yusuf and Yusuf [3] determined the problem of three types of failures, Taneja and Sachdeva [4] discussed on optical communication process and Rajesh et al [5] studied about the reliability of a gas turbine. All the above studies achieved different types of failures, which optimize the reliability of the systems.…”