Kotb, K., Elebiary, E. (2019). STATISTICAL INFERENCE FOR M/M/1/N QUEUEING SYSTEM WITH BALKING, RENEGING AND REFLECTING BARRIER UNDER QUALITY CONTROL PROCESS. test, 40(1), 36-45. doi: 10.21608/djs.2019.139193
K. A. M. Kotb; Elham Elebiary. "STATISTICAL INFERENCE FOR M/M/1/N QUEUEING SYSTEM WITH BALKING, RENEGING AND REFLECTING BARRIER UNDER QUALITY CONTROL PROCESS". test, 40, 1, 2019, 36-45. doi: 10.21608/djs.2019.139193
Kotb, K., Elebiary, E. (2019). 'STATISTICAL INFERENCE FOR M/M/1/N QUEUEING SYSTEM WITH BALKING, RENEGING AND REFLECTING BARRIER UNDER QUALITY CONTROL PROCESS', test, 40(1), pp. 36-45. doi: 10.21608/djs.2019.139193
Kotb, K., Elebiary, E. STATISTICAL INFERENCE FOR M/M/1/N QUEUEING SYSTEM WITH BALKING, RENEGING AND REFLECTING BARRIER UNDER QUALITY CONTROL PROCESS. test, 2019; 40(1): 36-45. doi: 10.21608/djs.2019.139193

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

Delta Journal of Science
Article 5, Volume 40, Issue 1, June 2019, Pages 36-45    PDF (1.24 M)
Document Type: Research and Reference
DOI: 10.21608/djs.2019.139193
Authors
K. A. M. Kotb; Elham Elebiary*
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
balking; reneging; reflecting barrier; quality control; maximum likelihood estimate; confidence interval
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