Machine Repair Queueing System with with Non-Reliable Service Stations And Heterogeneous Service Discipline (RESEARCH NOTE)


1 , S. N. Multiple Campus

2 Department Of Mathematics, IIT Roorkee,Roorkee,India


This investigation deals with M/M/R/N machine repair problem with R non-reliable service stations which are subjected to unpredictable breakdown. 1here is provision of an additional server to reduce backlog in the case of heavy load of failed machines. 1he permanent service stations repair the failed machines at an identical rate m and switch to faster repair rate when all service stations are busy. By using matrix geometric theory, the formulae for obtaining the optimal number of service stations is derived.