On the \(M^ X/G/1\) queue with vacation time

DOI10.1016/0167-6377(86)90110-0zbMath0595.60094OpenAlexW2005851980MaRDI QIDQ1077827

Yutaka Baba

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-6377(86)90110-0

Mathematics Subject Classification ID

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

Related Items (51)

Analysis of theM^x/G/1 Queue with a Random Setup Time ⋮ A batch arrival queue with an additional service channel under \(N\)-policy ⋮ An \(\mathrm{M}^{[X}/\mathrm{G}(a,b)/1\) queueing system with breakdown and repair, stand-by server, multiple vacation and control policy on request for re-service] ⋮ On a batch retrial model with \(J\) vacations ⋮ Exploring the behavior of self-organized queuing for pedestrian flow through a non-service bottleneck ⋮ Parametric programming approach for batch arrival queues with vacation policies and fuzzy parameters ⋮ On the batch arrival batch service queue with finite buffer under server's vacation: \(MX/GY/1/N\) queue ⋮ Maximum entropy solutions for batch arrival queue with an un-reliable server and delaying vacations ⋮ Analysis of an unreliable MX/G1G2/1/repeated service queue with delayed repair under randomized vacation policy ⋮ Transient study of a queueing system with one unreliable server, batch arrivals, two types of verification, loss and vacation ⋮ Analysis of a model of batch arrival single server queue with random vacation policy ⋮ Analysis of repairable single server bulk queue with standby server, two phase heterogeneous service, starting failure and multiple vacation ⋮ Stationary joint distribution of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation ⋮ A decomposition property for an \(M^X / G / 1\) queue with vacations ⋮ On the transient departure process of \(M^x/G/1\) queueing system with single server vacation ⋮ Busy periods for queues alternating between two modes ⋮ Semigroup method on a M\(^X\)/G/1 queueing model ⋮ Analysis of batch arrival queue with randomized vacation policy and an un-reliable server ⋮ Unnamed Item ⋮ On departure process in the batch arrival queue with single vacation and setup time ⋮ \(\mathrm{M}^{[X}/\mathrm{G}_1\), \(G_2/1\) with setup time, Bernoulli vacation, break down, and delayed repair] ⋮ On a single server queue with optional phase type server vacations based on exhaustive deterministic service and a single vacation policy. ⋮ A two phase batch arrival queueing system with a vacation time under Bernoulli schedule. ⋮ Priority queues with batch Poisson arrivals ⋮ On pseudo-conservation laws for the cyclic server system with compound Poisson arrivals ⋮ Discrete-time \(\mathrm{Geo}^X/G/1\) queue with unreliable server and multiple adaptive delayed vacations ⋮ A Survey for Stochastic Decomposition in Vacation Queues ⋮ Batch arrival queues under vacation policies with server breakdowns and startup/closedown times ⋮ Operating characteristic analysis on the \(M^{[x}/G/1\) system with a variant vacation policy and balking] ⋮ A multiple vacation model Mx ¦ G ¦ 1 with balking ⋮ On a batch service queue with single vacation ⋮ A batch arrival queue under randomised multi-vacation policy with unreliable server and repair ⋮ \(MX/G/1\) retrial queue with multiple vacations and starting failures. ⋮ Analysis of an Unreliable Server M^[X/G/1 System with a Randomized Vacation Policy and Delayed Repair] ⋮ Batch arrival queue with \(N\)-policy and at most \(J\) vacations ⋮ Analysis of a batch arrival queue with vacation policy and exceptional service ⋮ The performance measures and randomized optimization for an unreliable server \(M^{[x}/G/1\) vacation system] ⋮ Analysis of batch arrival queue with two stages of service and phase vactions ⋮ Analytic and numerical aspects of batch service queues with single vacation ⋮ The randomized vacation policy for a batch arrival queue ⋮ Unnamed Item ⋮ On the BMAP/G/1 G-queues with second optional service and multiple vacations ⋮ A Batch Arrival Queue with a Second Optional Service Channel UnderN-Policy ⋮ Bulk arrival queues with server vacations ⋮ A batch arrival queue with different vacations ⋮ M/G/1 queue with exceptional first vacation ⋮ A simple approach for analyzing feedback vacation queues with levy input process ⋮ Some New Results for Departure Process in theM^X/G/1 Queueing System with a Single Vacation and Exhaustive Service ⋮ Analysis of a retrial queue with multiple vacations and state dependent arrivals ⋮ The \(M^ X/G/1\) queue with single and multiple vacations under the LIFO service regime ⋮ A batch arrival queue with a vacation time under single vacation policy

Cites Work

• On the M/G/1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines
• The N/G/1 queue and its detailed analysis
• Technical Note—Delays in Single-Server Queues with Batch Input
• Utilization of Idle Time in an M/G/1 Queueing System
• M/G/1/N Queue with Vacation Time and Exhaustive Service Discipline
• A conservation law for a wide class of queueing disciplines
• Queues Served in Cyclic Order: Waiting Times
• A Combinatorial Method in the Theory of Queues
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