Open AccessBayesian analysis of an M|M|1|∞ queueing model
Author(s) -
Naveen K. Bansal,
V. S. Vaidyanathan,
P. Chandrasekhar
Publication year - 2022
Publication title -
pakistan journal of statistics and operation research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 15
eISSN - 2220-5810
pISSN - 1816-2711
DOI - 10.18187/pjsor.v18i1.3904
Subject(s) - estimator , mathematics , bayes estimator , statistics , bayes' theorem , queueing theory , mean squared error , traffic intensity , m estimator , bayesian probability , computer science , telecommunications
In this paper, by considering an M|M|1|∞ queueing model, Bayes estimators of trac intensity and measures of system performance are worked out under squared error loss function (SELF) based on observed data on the independent interarrival and service times. Further, minimum posterior risk associated with Bayes estimators of trac intensity and system performance measures are obtained under SELF. Numerical illustration of the performance of the estimates is given through simulation study. It is shown that Bayes estimators perform better than the maximum likelihood estimators under the influence of prior information.