Khatab, A., Nahas, N. and Nourelfath, M. (2009) Availbilty of K-Out-of-N: G Systems with Non-Identical Components Subject to Repair Priorities. Reliability Engineering & System Safety, 94, 142-151.
http://dx.doi.org/10.1016/j.ress.2008.02.017

has been cited by the following article:

• TITLE: Availability and Profit Optimization of Series-Parallel System with Linear Consecutive Cold Standby Units

  AUTHORS: Muhammad Sagir Aliyu, Ibrahim Yusuf, U. A. Ali

  KEYWORDS: Availability, Profit, Cold Standby, Optimization

  JOURNAL NAME: Applied Mathematics, Vol.6 No.2, February 10, 2015

  ABSTRACT: In this paper, we study availability and profit optimization of a series-parallel system consisting of three subsystems A, B and C in which A and B are cold standby. Subsystem A consists of linear consecutive k-out-of-n units while subsystems B and C consist of a single unit each. The system works if any of A or B and C work. The objective of this study is to maximize the steady-state availability and profit. To solve the optimization problem, different numbers of units for n = 2, 3, 4, 5 in subsystem A are considered. Explicit expressions for busy period of repairmen, steady-state availability and profit function are derived using linear first order differential equations. Several cases are analyzed graphically for n = 2, 3, 4, 5 to investigate the effects of various system parameters on availability and profit. The paper also presents graphical comparison for specific values of system parameters and finds that the optimal system configuration is when n = 5.