A Queueing system with Catastrophe, Feedback, State dependent Service and Environmental change
DOI:
https://doi.org/10.48047/47svhr21Keywords:
Catastrophes, Feedback, Environment, Service rate, Probability generating function, Laplace transform.Abstract
In this paper, a finite capacity queueing system with state dependent service operating in different environments with catastrophes and feedback is studied. The service rate increases (decreases) according as n, the number of units in the system, is less (greater) than N, a pre assigned number. We undertake the transient analysis of a limited capacity queueing system with two environmental states in the presence of catastrophes and feedback. Transient state solution is obtained by using the technique of probability generating function. The steady state results of the model is obtained by using the property of Laplace transform. Finally, some particular cases of the queueing model are also derived and discussed
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References
Bartoszynski, R., Buhler, W. J., Chan Wenyan and Pearl, D.K. (1989) Population processes under the influence of disasters occurring independently of population size, J. Math. Bio. Vol. 27, 179-190.
Brockwell, P.J.,Gani, J. M., and Resnick, S. I. (1982) Birth immigration and catastrophe processes, Adv. Appl. Probab. Vol.14, 709-731.
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