The intensity conservation law for queues with randomly changed service rate

DOI10.2307/3213783zbMath0564.60091OpenAlexW2329278051MaRDI QIDQ3678437

Masakiyo Miyazawa

Publication date: 1985

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3213783

zbMATH Keywords

marked point processintensity conservation lawrandomly changed service rate

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Queueing theory (aspects of probability theory) (60K25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (13)

Little laws for utility processes and waiting times in queues ⋮ Rejection rules in the \(M/G/1\) queue ⋮ Further applications of a general rate conservation law ⋮ On stationary queue length distributions for G/M/s/r queues ⋮ Mathematical theory of queueing networks ⋮ A sample path analysis of \(M/GI/1\) queues with workload restrictions ⋮ Rate conservation principle for discrete-time queues ⋮ Sample path analysis of level crossings for the workload process ⋮ Sample-path analysis of processes with imbedded point processes ⋮ Loss Probability of a Burst Arrival Finite Queue with Synchronized Service ⋮ A review of \(L=\lambda W\) and extensions ⋮ Sample-path analysis of stochastic discrete-event systems ⋮ Rate conservation laws: A survey

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