A Systematic Performance Cost Analysis of Queueing System With Server Begin Subject to Repair Using Probability Generating Function

Abstract

A Markovian line with changed fix and state subordinate section rate has been analyzed. The probability creating limit of the line gauge at an abstract time is procured using favorable variable framework. Some huge introduction estimates like expected line gauge, foreseen length of dormant and involved period is furthermore procured. We used in like manner Probability making limit procedure to construe the unflinching state a probability, using which diverse system execution assesses that can be gotten. An expense and benefit model is made to choose the perfect number of servers. Under the perfect working conditions, numerical results are presented in which a couple of system execution measures are evaluated.

Keywords: Repair queueing system, Cost function, Busy period, queue length, average total cost