Bayesian inference on M/M/1 queue under asymmetric loss function using Markov Chain Monte Carlo method

Abstract

A stationary M/M/1 queueing model satisfies the equilibrium condition that the arrival rate, λ is less than or equal to the service rate, µ. In this paper, we have discussed the Bayes estimation of queue parameters λ, µ and various queue characteristics using Mckay’s bivariate gamma prior distribution for (λ, µ) for a stationary M/M/1 queue as it satisfies the equilibrium order restriction, 0 < λ < µ. Using Markov Chain Monte Carlo method, we have numerically computed the Bayes estimates of queue parameters and various queue characteristics under different asymmetric loss functions.

Cite this work

No public copy is stored for this record, so only the metadata is cited.

Stored only when both papers are in the corpus — 13 citations exist upstream.

Papers that cite the same references — the relational fallback while embeddings are still backfilling.