Int. J. of Reliability and Safety   »   2017 Vol.11, No.3/4



Title: Availability improvement for the successive K-out-of-N machining system using standby with multiple working vacations


Authors: Richa Sharma; Gireesh Kumar


Department of Mathematics, JK Lakshmipat University, Jaipur 302026, India
Department of CSE, JK Lakshmipat University, Jaipur 302026, India


Abstract: This analysis deals with the exact availability evaluation of K-out-of-N machining system with multiple working vacations and standby. The repairman can choose multiple working vacations of random length during its dormant time. The system consists of 'O' operating and 'S' standby machines. Each machine type is characterised by its own failures and repairs. The failure of any operating machine affects the system availability. To cope with this situation, we provide the standby support for increasing the availability of the system. Whenever any operating unit fails, it is immediately replaced by a standby unit if available. Moreover, we provide the transient state equations of governing model with the help of state transition diagram. The machine repair problem is analysed theoretically and numerically by using Runge-Kutta method. At last, the conclusions and future work scope are provided.


Keywords: successive K-out-of-N machining system; multiple working vacations; standby; Runge-Kutta method; availability.


DOI: 10.1504/IJRS.2017.10010845


Int. J. of Reliability and Safety, 2017 Vol.11, No.3/4, pp.256 - 267


Date of acceptance: 15 Nov 2017
Available online: 31 Jan 2018



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