STATISTICAL INFERENCE FOR M/M/1/N QUEUEING SYSTEM WITH BALKING, RENEGING AND REFLECTING BARRIER UNDER QUALITY CONTROL PROCESS

Document Type : Research and Reference

Authors

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Abstract

In this paper we develop the confidence intervals for estimating
the expected value of the units in the system and the maximum
likelihood estimates of the parameters are derived for truncated single -
channel Markovian queue with balking, reneging and reflecting barrier
by using quality control process under steady - state simulation. Some
important queueing systems are developed and discussed as special
cases of the model. A simulated numerical example is used to illustrate
its application for estimating the parameters under quality control
process.

Keywords