On a batch arrival Poisson queue with a random setup time and vacation period.

DOI10.1016/S0305-0548(98)00038-0zbMath1040.90511MaRDI QIDQ1406715

Gautam Choudhury

Publication date: 7 September 2003

Published in: Computers \& Operations Research (Search for Journal in Brave)

zbMATH Keywords

stochastic decomposition property\(M^x/M/1\) queueinventory system and air scheduling problemsetup time vacation period

Mathematics Subject Classification ID

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

Related Items (10)

Performance analysis and optimization of a pseudo-fault \(\mathrm{Geo}/\mathrm{Geo}/1\) repairable queueing system with \(N\)-policy, setup time and multiple working vacations ⋮ CTM based real-time queue length estimation at signalized intersection ⋮ Equilibrium threshold strategies in observable queueing systems with setup/closedown times ⋮ Semigroup method on a M\(^X\)/G/1 queueing model ⋮ Equilibrium customer strategies in a single server Markovian queue with setup times ⋮ The single server vacation queueing model with geometric abandonments ⋮ Analysis of a batch arrival queue with vacation policy and exceptional service ⋮ Analysis of a multiserver queue with setup times ⋮ Batch Arrival Multiserver Queue with State-Dependent Setup for Energy-Saving Data Center ⋮ A batch arrival queue with a vacation time under single vacation policy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Queueing systems with vacations - a survey
• A Poisson input queue under \(N\)-policy and with a general start up time
• Batch arrival queue with \(N\)-policy and single vacation
• On a Poisson queue with general setup time and vacation period
• Imbedded Markov Chain Analysis of a Waiting-Line Process in Continuous Time
• A note on stochastic decomposition in a GI/G/1 queue with vacations or set-up times
• Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations
• A Queue with Starter and a Queue with Vacations: Delay Analysis by Decomposition
• Waiting times in discrete-time cyclic-service systems
• Control Policies for the M^X/G/1 Queueing System
• Poisson Arrivals See Time Averages
• Technical Note—Delays in Single-Server Queues with Batch Input
• Technical Note—A Note on the Busy Period of an M/G/1 Finite Queue
• Analysis of the M^x/G/1 queue by N-policy and multiple vacations

This page was built for publication: On a batch arrival Poisson queue with a random setup time and vacation period.