Stochastic Analysis of a Repairable Cold Standby System Attacked by Poisson Shocks Considering Inspection and Post Repair

Abstract

This paper investigated the stochastic analysis of twodissimilar unit cold standby system considering repair, inspection, post repair under Poisson shocks. The serverman, is called when the operative unit fails. The shocks can attack the operative unit. The repaired unit is sent for inspection to decide whether the repair is satisfactory. If the repair is found unsatisfactory, then the unit is again sent for post repair. Some reliability measures of the system such as system reliability, mean time to system failure (MTSF) and steady state availability are derived. Graphical representations are presented to illustrate the theoretical results.

Reliability Analysis of a Two Nonidentical Unit Parallel System with Optional Vacations under Poisson Shocks

“…Instead, a technician may have to take care of many types of equipment, and he may not be able to repair a failed piece of equipment as soon as it fails. For this reason, the reliability theory has been studied with vacation [7][8][9][10][11][12][13]. erefore, the vacation concept was first presented in the model analysis of queuing systems in [14], and the types of vacation policies are defined as follows: single vacation and multiple vacations.…”

Stochastic Behavior of a Two-Unit Parallel System with Dissimilar Units and Optional Vacations under Poisson Shocks

“…[16] focuses on one unit under Poisson shocks with the assumption that the deterioration caused by a single shock may be ineffective, and the system fails only when the deterioration has accumulated to a specific level. The effect Poisson shocks has on the system behavior, which consists of two-non-symmetric parallel units, one of them is operative and the other is cold standby, with the presence of the imperfect key switch between these two units, was investigated by [17].…”