Controlling arrival for the machine repair problem with switching failure

Abstract

This study investigates the warm-standby machine repair problem which involves a controlling arrival policy and switching failure probability. It involves operating machines with S warm standbys and one single server. The failure times and repair times are assumed to follow an exponential distribution. For such system, some system performance measures are derived and a steady-state expected cost function per unit time is developed. By using Quasi-Newton method followed direct search method, we can find the joint optimal parameter values at maximum profit such that the availability constraint is satisfied.