A Simple Proof of the Equivalence of the Limiting Distributions of the Continuous-Time and the Embedded Process of the Queue Size in the M/G/1 Queue

DOI10.1111/j.1467-9574.1976.tb00269.xzbMath0328.60052OpenAlexW1991141132MaRDI QIDQ4094219

Arie Hordijk, Henk C. Tijms

Publication date: 1976

Published in: Statistica Neerlandica (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/9773

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (5)

The compound Poisson immigration process subject to binomial catastrophes ⋮ Algorithms for the state probabilities and waiting times in single server queueing systems with random and quasirandom input and phase-type service times ⋮ A NEW APPROACH FOR THE STUDY OF THE M^X/G/1 QUEUE USING RENEWAL ARGUMENTS ⋮ The Single Server Queue with Synchronized Services ⋮ Stationary queuing systems with dependencies

Cites Work

• Regenerative stochastic processes
• Regenerative processes in the theory of queues, with applications to the alternating-priority queue
• Unnamed Item

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