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| Author: | Bhat, V. |
| Title: | Renewal approximations of the switched Poisson processes and their applications to queuing systems |
| Journal: | Journal of the Operational Research Society
1994 : MAR, VOL. 45:3, p. 345-353 |
| Index terms: | OPERATIONAL RESEARCH QUEUING THEORY POISSON DISTRIBUTION |
| Language: | eng |
| Abstract: | The switched Poisson process (SPP), also known as the doubly stochastic Poisson process, has been widely used in the modelling of point processes whose rates vary subject to some random mechanism. The class of SPP includes a wide range of both renewal and non-renewal processes with squared coefficients of variation being larger than one. In this paper, the author surveys various approaches to approximate a non-renewal process by a renewal process. The author derives the expressions for the first two moments of the inter-renewal time of a renewal process that approximates the SPP. |
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