STEADY STATE ANALYSIS IN N FAILURE OF K PHASE (N,K) REPLACEMENT QUEUEING SYSTEM IN MATRIX METHOD

Sivaraman Geetha; Bharathi Ramesh Kumar; Sankar Murugesan

Volume : VII, Issue : II, February - 2018

STEADY STATE ANALYSIS IN N FAILURE OF K PHASE (N,K) REPLACEMENT QUEUEING SYSTEM IN MATRIX METHOD

Sivaraman Geetha, Bharathi Ramesh Kumar, Sankar Murugesan

Abstract :

We consider the N- groups of bulk arrival queueing system and arriving customer are independent. The replacement queueing process is beginning with the failure node and the variable cost proportional to the number of failure channels. Due to the nature of problem some service channels are provided the delay service obviously. So, we distributed to the service cost in entire system. If we kept the delay process the group maintenance are decreases on the other hand length of the customer ratio has increase as well as processing cost also. But most of the time queue parameters are uncertain. In this paper we develop the group of m-failure channel and customers are independent, but retained the queue start with failure stages at the level of m and analyze average length of queue replacement size and cost. Here, we consider the queue parameters are triangular fuzzy number. A numerical example is included