The busy Period for the M/M/1 machine interference model

DOI10.1080/07362998508809050zbMath0555.60054OpenAlexW2036570840MaRDI QIDQ3218895

Walid K. El-Badri, Brian D. Bunday

Publication date: 1985

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362998508809050

zbMATH Keywords

Laplace transformbusy periodminimum number of machines running during a busy period

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (8)

The efficiency of unidirectionally patrolled machines ⋮ A survey of the machine interference problem ⋮ The efficiency of uni-directionally patrolled machines with two robot repairmen ⋮ A new formula for the busy period of a non-empty multiserver queueing system ⋮ Transient analysis of a m/m/r machine interference model ⋮ Stochastic analysis of machine interference of a production system wit[hdot identical machines] ⋮ The busy period of an \(\mathrm{M}/\mathrm{M}/1\) queue with balking and reneging ⋮ On the busy period of a multichannel Markovian queue

Cites Work

• Unnamed Item
• The G/M/r machine interference model
• The \(M/E_k/r\) machine interference model. Steady state equations and numerical solutions
• Stability of Multiple Markets: The Hicks Conditions

This page was built for publication: The busy Period for the M/M/1 machine interference model