Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Series Expansions For Finite-State Markov Chains
Probability in the Engineering and Informational Sciences
Series Expansions for Continuous-Time Markov Processes
Operations Research
Kernel density in the study of the strong stability of the M/M/1 queueing system
Operations Research Letters
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We study the strong stability of a G/M/1 queueing system after perturbation of the service times. We are interested in the determination of the proximity error between the corresponding service time distributions of G/G/1 and G/M/1 systems, the approximation error on the stationary distributions, and confidence intervals for the difference between the corresponding characteristics of the quoted systems in the stationary state, when the general distribution of service times G in the G/G/1 system is unknown and must be estimated by means of a nonparametric estimation method. We use the Student test to accept or reject the equality of the corresponding characteristics. The boundary effects are taken into account. Simulation studies are performed to support the results.