Document details

Probing a M/G/1 queue with general input and service times

Author(s): Jacinto, Gonçalo cv logo 1 ; Antunes, Nelson cv logo 2 ; Pacheco, António cv logo 3

Date: 2013

Persistent ID: http://hdl.handle.net/10174/10775

Origin: Repositório Científico da Universidade de Évora


Description
We consider the estimation of the arrival rate and the service time moments of a M/G/1 queue with probing, i.e., with special customers (probes) entering the system. The probe inter-arrival times are i.i.d. and probe service times follow a general positive distribution. The only observations used are the arrival times, service times and departure times of probes. We derive the main equations from which the quantities of interest can be estimated. Two particular probe arrivals, deterministic and Poisson, are investigated.
Document Type Article
Language Portuguese
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