AN INFINITELY-MANY SERVER QUEUE HAVING MARKOV RENEWAL ARRIVALS AND HYPEREXPONENTIAL SERVICE TIMES

DOI10.15807/jorsj.29.338zbMath0617.60092OpenAlexW2725706433MaRDI QIDQ4727168

Fumiaki Machihara

Publication date: 1986

Published in: Journal of the Operations Research Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15807/jorsj.29.338

zbMATH Keywords

stationary distributionstelephone networksinfinitely many server queueMarkov renewal inputs

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Reliability, availability, maintenance, inspection in operations research (90B25) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (4)

Queueing network \(\text{MAP}-(G I / \infty)^K\) with high-rate arrivals ⋮ DOES THE MORE VARIABLE INTER-ARRIVAL TIME INCREASE THE CONGESTION IN THE INFINITELY MANY SERVERS SYSTEM AND THE LOSS SYSTEM? ⋮ MAXIMUM BLOCKING PROBABILITY IN GI/GI/cc SYSTEMS WITH BURSTY ARRIVALS ⋮ The \(GR^{X_ n}/G_ n/\infty\) system: System size

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