A new formula for the transient behaviour of a non-empty M/M/1/\(\infty\) queue.

DOI10.1016/S0096-3003(01)00145-XzbMath1043.60083MaRDI QIDQ1855815

Ahmed M. K. Tarabia

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

series expansiontransient behaviourstate probabilitiesrecurrence ralations

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (10)

Transient solution of a non-empty chemical queueing system ⋮ SCALING PROPERTIES OF QUEUES WITH TIME-VARYING LOAD PROCESSES: EXTENSIONS AND APPLICATIONS ⋮ Computing the performance measures in queueing models via the method of order statistics ⋮ Explicit Formulas for a Continuous Stochastic Maturation Model: Application to Anticancer Drug Pharmacokinetics/Pharmacodynamics ⋮ Exact transient solutions of nonempty Markovian queues ⋮ Computational Performance of Server Using the Mx/M/1 Queue Model ⋮ Exact time-dependent solutions for the $M / D / 1$ queue ⋮ The transient solution to \(M/E_{k}/1\) queue ⋮ A new formula for the transient solution of the Erlang queueing model ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Taylor series solution of the \(M/M/1\) queueing system
• THE JOINT ARRIVAL AND DEPARTURE PROCESS FOR THE M/M/l QUEUE
• A transient solution to an M/M/1 queue: a simple approach
• Further comments on the solution of the M/M/1 queue
• Some New Results for the M/M/1 Queue
• A Simple Formula for the Transient State Probabilities of an M/M/1/∞Queue
• On a new formula for the transient state probabilities for M/M/1 queues and computational implications

This page was built for publication: A new formula for the transient behaviour of a non-empty M/M/1/\(\infty\) queue.