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We consider two heterogeneous server, unit arrived according to Poisson distribution with rate λ the customers must enter into the service facility first, and if it is not possible they join the queueing facility to form the queue in the order of their arrival. The two servers have heterogeneous service rate μ 1  for server 1 and μ 2  for server 2 (μ 1  ≠ μ 2 ). Server 1 is always obtainable and server 2 is intermittently obtainable. Server 2 goes to service in some important dissimilar/strange jobs when the number of the customer is greater than or equal to zero. But prior going to execute these strange jobs, the server 2 must first entire his in hand service. Otherwise server 2 is either working state or idle. By introducing the bivariate process {M(t), S(t); t ⩾ 0} the stationary analysis has been carried out using Matrix Geometric Method. Some numerical results are also presented.

Performance Analysis Of Two Heterogeneous Server Queuing Model with Intermittently Obtainable Server Using Matrix Geometric Method