Bayesian Inference and UMVU estimation in the single server $$M|M|1|\infty$$ queue

In this paper, by considering an $$M|M|1|\infty$$ queueing model, Bayes estimators of traffic intensity and system performance measures are discussed under (i) squared error loss function (SELF) (ii) entropy (ELF) (iii) LINEX with Beta prior. Further, minimum posterior risk associated obtained SELF. The the model compared Uniformly Minimum Variance Unbiased Estimators (UMVUEs) through simulation.