SIMPLE APPROACH OF THE SERVER’S BUSY PERIOD FOR SELFSERVICE SYSTEM WITH FEEDBACK

Document Type : Research and Reference

Authors

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.

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