The impact of the correlation coefficient of interarrival and service times on queueing performance: The M/M/1 case

• Published in: European journal of operational research Vol. 319; no. 2; pp. 625 - 637
• Main Authors: Wu, Haoran, He, Qi-Ming, Xia, Li
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2024
• Subjects: Age process; Bivariate exponential distribution; Correlated M/M/1 queue; Decay rate; Economic analysis; Markov modulated fluid flow process; Markov modulated fluid flow process; Economic analysis; Decay rate; Bivariate exponential distribution; Correlated M/M/1 queue; Age process

This paper is concerned on an M/M/1 queue with correlated interarrival and service times. In particular, we assume that the interarrival time and service time of a customer have a bivariate exponential distribution. By utilizing a Markov modulated fluid flow (MMFF) process associated with the age pr...