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

This investigation deals with M/M/R/N machine repair problem with R non-reliable service stations which are subjected to unpredictable breakdown. ۱here is provision of an additional server to reduce backlog in the case of heavy load of failed machines. ۱he 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.

Keywords:

Machine , Repair , Markov Queue , Non , reliable , Server Breakdown , Additional Server , Matrix Geometric