Cost benefit analysis of series systems with warm standby components
This paper deals with the cost benefit analysis of series systems with warm standby components. The time-to-repair and the time-to-failure for each of the primary and warm standby components is assumed to have the negative exponential distribution. We develop the explicit expressions for the mean time-to-failure, MTTF, and the steady-state availability, AT(∞) for three configurations and perform a comparative analysis. Under the cost/benefit (C/B) criterion, comparisons are made based on assumed numerical values given to the distribution parameters, and to the cost of the components. The configurations are ranked based on: MTTF, AT(∞), and C/B where B is either MTTF or AT(∞).
Economic analysis of the M/M/R machine repair problem with warm standbys
Abstract This paper studies the M/M/R warm-standby machine repair problem under steady-state conditions. This is a generalization of the cold standby model considered in the literature. A profit model is developed in order to determine the optimal values of the number of spares and the number of repairment simultaneously. Numerical examples are provided in which several system characteristics are computed under optimal operating conditions.
A Reliability Problem with Spares and Multiple Repair Facilities
A single unit system with N-1 spares and c repair facilities is considered. It is assumed that the failure time distribution of each unit is negative exponential with parameter λ and repair time distribution of each repair facility is again a negative exponential with parameter µ. The Time-to-System Failure Period TSFP process has been investigated solving the difference-differential equation through the compensating function technique. The general process probabilities are obtained through renewal arguments from TSFP process and System Down Time SDT process, and their ergodic properties are discussed. The long-run availability of the system and the cost implication has been illustrated by a numerical example.