- Author : V. Ramaswami
- Publisher :
- Release : 1978
- ISBN :
- Pages : 65 pages
Some Explicit Formulas and Computational Methods for Infinite Server Queues with Phase Type Arrivals
Download or read book Some Explicit Formulas and Computational Methods for Infinite Server Queues with Phase Type Arrivals written by V. Ramaswami and published by . This book was released on 1978 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper discusses infinite server queues whose input is a Phase Type Renewal Process. The problems of obtaining the transient and steady-state distributions and moments of the queue length are reduced to the solution of certain well-behaved systems of linear differential equations. Sample computations are provided with as many as ten phases. The paper contains some useful explicit formulas and also discusses the interesting special case where the service time is also of phase type. The Phase Type Distributions include a wide variety of models such as generalized Erlang, hyperexponential (mixtures of a finite number of exponentials) as very special cases and possess great versatality in modeling a number of interesting qualitative features such as bimodality.