Busy period analysis for \(M/G/1\) and \(G/M/1\) type queues with restricted accessibility

DOI10.1016/S0167-6377(00)00043-2zbMath1096.90517WikidataQ56765009 ScholiaQ56765009MaRDI QIDQ5929146

David Perry, Shelemyahu Zacks, Wolfgang Stadje

Publication date: 2000

Published in: Operations Research Letters (Search for Journal in Brave)

zbMATH Keywords

Busy periodCompound Poisson processElapsed waiting timeLinear boundaryM/G/1,G/M/1Restricted accessibilityStopping timeVirtual waiting time

Mathematics Subject Classification ID

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

Related Items (18)

On a doubly dynamically controlled supermarket model with impatient customers ⋮ Review of some functionals of compound Poisson processes and related stopping times ⋮ A controlled \(M/G/1\) workload process with an application to perishable inventory systems ⋮ Duality of dams via mountain processes. ⋮ A \(G/M/1\) queueing system with \(P_\lambda^M\)-service policy ⋮ The Busy Period of an M/G/1 Queue with Customer Impatience ⋮ Busy period analysis for \(M/PH/1\) queues with workload dependent balking ⋮ The idle period of the finite \(G/M/1\) queue with an interpretation in risk theory ⋮ Some recent results on the distributions of stopping times of compound Poisson processes with linear boundaries ⋮ The \(M/G/1+G\) queue revisited ⋮ A two-sided first-exit problem for a compound Poisson process with a random upper boundary ⋮ Busy period, virtual waiting time and number of customers in \(G^{\delta }|M^{\kappa}|1| \text B\) system ⋮ The stationary workload of the \(G/M/1\) queue with impatient customers ⋮ Explicit solutions for the steady state distributions in \(M/PH/1\) queues with workload dependent balking ⋮ Age-based Markovian approximation of the G/M/1 queue ⋮ A Duality Approach to Queues with Service Restrictions and Storage Systems with State-Dependent Rates ⋮ Stopping problems for compound processes with applications to queues ⋮ The G/M/1 queue revisited

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