SIMPLE APPROACH OF THE SERVER’S BUSY PERIOD FOR SELFSERVICE SYSTEM WITH FEEDBACK | ||
| Delta Journal of Science | ||
| Article 2, Volume 41, Issue 1, June 2019, Pages 12-19 PDF (1.29 M) | ||
| Document Type: Research and Reference | ||
| DOI: 10.21608/djs.2020.139225 | ||
| Authors | ||
| K. A. M. Kotb; S. E. Abou Karam* | ||
| Department of Mathematics and Statistics, Faculty of Science, Tanta University, Tanta, Egypt. | ||
| Abstract | ||
| In this paper, we provide an easy method to obtain the distribution of busy period for self-service queue with feedback. Using probability generating function we obtain the probability that there are n units in the system at time t , pn ( t ) and the probability density function and the busy period distribution function. Concept of busy period selfservice queue without feedback has been derived and discussed as special case of proposed model. Some numerical values of arrive rate , service rate , feedback q and time t are given showing the effect of correlation between the feedback (the time) and the probability density function (distribution function) of busy period. | ||
| Keywords | ||
| Busy period; Selfservice queue; Feedback; Probability density function; Distribution function; Probability generating function | ||
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