ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES

ANALYSIS OF DISCRETE-TIME QUEUE WITH TWO HETEROGENEOUS SERVERS SUBJECT TO CATASTROPHES

Veena Goswami

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Abstract

This paper studies a discrete-time queueing system with two heterogeneous servers subject to catastrophes. We obtain explicit expressions for the steady-state prob- abilities at arbitrary epoch using displacement operator method. The waiting time dis- tribution and outside observer’s observation epoch probabilities are deduced. Various performance measures and numerical results have been investigated.

Keywords

Discrete-time, catastrophe, multi-server, heterogeneous servers, waiting, queue.