Joint distribution of sojourn time and queue length in the M/G/1 queue with (in)finite capacity
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Publication:787597
DOI10.1016/0377-2217(84)90078-XzbMath0529.60096OpenAlexW2001382575MaRDI QIDQ787597
Publication date: 1984
Published in: European Journal of Operational Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-2217(84)90078-x
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)
Related Items (9)
Equilibrium joining probabilities for an M/G/1 queue ⋮ The Conditional Distribution of the Residual Service Time in theMn/G/1 Queue ⋮ The cyclic queue and the tandem queue ⋮ The \(M_n/G_n/1\) queue with vacations and exhaustive service ⋮ A queueing approach to a multi class $M / G / 1$ make-to-stock with backlog ⋮ M/G/\(1\) queue with event-dependent arrival rates ⋮ Conditional Ages and Residual Service Times in the M/G/1 Queue ⋮ Social and Monopoly Optimization in Observable Queues ⋮ Exact results and bounds for the joint tail and moments of the recurrence times in a renewal process
Cites Work
- Equilibrium properties of the M/G/1 queue
- Technical Note—The Expected Remaining Service Time in a Single Server Queue
- On response time and cycle time distributions in a two-stage cyclic queue
- The Steady-State Queueing Time Distribution for the M/G/1 Finite Capacity Queue
- Approximations in finite-capacity multi-server queues by Poisson arrivals
- Queuing Systems in Which the Discipline is “Last-Come, First-Served”
- Properties of Probability Distributions with Monotone Hazard Rate
- Inequalities: theory of majorization and its applications
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