Performance analysis of a limited capacity Queueing model incorporating the effects of two Environmental changing states and Catastrophes
Keywords:
Transient analysis, Catastrophes, Environmental states, Finite capacity, Probability generating function.Abstract
In this paper, performance analysis of a limited capacity queueing system incorporating the effects of two environmental changing states and catastrophes is studied. The effect of environmental change is taken to be a function of the number present in the system. We undertake the transient analysis of a limited capacity queueing system with two environmental states in the presence of catastrophes. Transient solution of the queueing model is obtained by using the probability generating function technique.
Some interesting particular cases of the queueing model with and without catastrophes are obtained. Measures of effectiveness and steady state solutions of the model are also discussed.
References
A. Di Crescenzo and A.G. Nobile, (1995) Diffusion approximation to a queueing system with time dependent arrival and service rates, Queueing Systems 19,4162.
A. Di Crescenzo, V. Giorno, A.G. Nobile and L.M. Ricciardi, (2003) On the M/M/1 queue with catastrophes and its continuous approximation, Queueing
Systems 43, 329-347.
B. Krishna Kumar and D. Arivudainambi, (2000) Transient solution of an M/M/1 queue with catastrophes, Comp. and Maths with Applications 40, 1233-1240.


