Conditional Ages and Residual Service Times in the M/G/1 Queue

DOI10.1080/15326340802641063zbMath1159.60347OpenAlexW2146068576MaRDI QIDQ3619672

Moshe Haviv, Ivo J. B. F. Adan

Publication date: 8 April 2009

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340802641063

zbMATH Keywords

single-server queueconditional distribution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (8)

The lower-class waiting time distribution in the delayed accumulating priority queue ⋮ High-priority expected waiting times in the delayed accumulating priority queue with applications to health care KPIs ⋮ Conditional inter-departure times from the \(M/G/s\) queue ⋮ The age of the arrival process in the G/M/1 and M/G/1 queues ⋮ Equilibrium joining probabilities for an M/G/1 queue ⋮ On the Value Function of the M/G/1 FCFS and LCFS Queues ⋮ Corrigendum to ``The distribution of the number of arrivals in a subinterval of a busy period of a single server queue ⋮ A probabilistic approach for the analysis of the \(M_n/G/1\) queue

Cites Work

• Unnamed Item
• Joint distribution of sojourn time and queue length in the M/G/1 queue with (in)finite capacity
• On balking from an empty queue
• Optimal Entering Rules for a Customer with Wait Option at an M/G/1 Queue
• The Conditional Distribution of the Residual Service Time in theM_n/G/1 Queue
• A stable recursion for the steady state vector in markov chains of m/g/1 type
• Equilibrium properties of the M/G/1 queue
• Technical Note—The Expected Remaining Service Time in a Single Server Queue

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