Queueing systems with vacations - a survey
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Publication:1109433
DOI10.1007/BF01149327zbMath0655.60089MaRDI QIDQ1109433
Publication date: 1986
Published in: Queueing Systems (Search for Journal in Brave)
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
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Optimal design and control of queues ⋮ Multitasking via alternate and shared processing: algorithms and complexity ⋮ Analysis of the M/G/1 queue with exponentially working vacations---a matrix analytic approach ⋮ Transient workload distribution in the \(M/G/1\) finite-buffer queue with single and multiple vacations ⋮ \(M/D^{[y}/1\) periodically gated vacation model and its application to IEEE 802.16 network] ⋮ On the \(GI/M/1/N\) queue with multiple working vacations-analytic analysis and computation ⋮ Performance analysis of \(GI/M/1\) queue with working vacations and vacation interruption ⋮ The discrete time Geom/Geom/1 queue with multiple working vacations ⋮ An \(MAP/G/1\) \(G\)-queues with preemptive resume and multiple vacations ⋮ On a batch retrial model with \(J\) vacations ⋮ \(M/M/1\) retrial queue with working vacations ⋮ BMAP/G/1/N queue with vacations and limited service discipline ⋮ Parametric programming approach for batch arrival queues with vacation policies and fuzzy parameters ⋮ Optimization of the service strategy in a queueing system with energy harvesting and customers' impatience ⋮ Hybrid queueing systems with hysteretic bilevel control policies ⋮ A parametric uncertainty analysis method for queues with vacations ⋮ The \(GI/Geo/1\) queue with Bernoulli-schedule-controlled vacation and vacation interruption ⋮ Impatient customer queue with Bernoulli schedule vacation interruption ⋮ The optimal service time allocation of a versatile server to queue jobs and stochastically available non-queue jobs of different types ⋮ On queue length in a queueing system with Erlang incoming flow ⋮ Equilibrium threshold strategies in observable queueing systems under single vacation policy ⋮ Analysis and computational algorithm for queues with state-dependent vacations. I: \newline \(G/M(n)/1/K\) ⋮ A mixed priority retrial queue with negative arrivals, unreliable server and multiple vacations ⋮ An M/G/1 queue with single working vacation and vacation interruption under Bernoulli schedule ⋮ Maximum entropy solutions for batch arrival queue with an un-reliable server and delaying vacations ⋮ On stochastic decomposition in the \(GI/M/1\) queue with single exponential vacation ⋮ \(MAP/PH/1\) queue with working vacations, vacation interruptions and \(N\) policy ⋮ The discrete-time GI/Geo/1 queue with working vacations and vacation interruption ⋮ Note on a binomial schedule for an M\(^{X}\)/G/1 queueing system with an unreliable server ⋮ Sojourn time analysis of a two-phase queueing system with exhaustive batch-service and its vacation model ⋮ Marginal queue length approximations for a two-layered network with correlated queues ⋮ Another look into decomposition results ⋮ Queueing models for appointment-driven systems ⋮ A multi-server synchronous vacation model with thresholds and a probabilistic decision rule ⋮ Analysis of an M/M/1 queueing system with impatient customers and a variant of multiple vacation policy ⋮ An \(M/G/1\) queue under hysteretic vacation policy with an early startup and un-reliable server ⋮ An \(\mathrm{M}^{[X}/\mathrm{G}/1\) retrial G-queue with single vacation subject to the server breakdown and repair] ⋮ Reliability analysis for a \(k\)-out-of-\(n\):G system with redundant dependency and repairmen having multiple vacations ⋮ Probabilistic analysis of a series-parallel repairable system with three units and vacation ⋮ Iterative approximation of \(k\)-limited polling systems ⋮ A stochastic model for a vehicle in a dial-a-ride system ⋮ Stability analysis of a new kind \(n\)-unit series repairable system ⋮ A retrial inventory system with single and modified multiple vacation for server ⋮ Performance analysis and optimization of a machine repair problem with warm spares and two heterogeneous repairmen ⋮ On the multi-phase \(M/G/1\) queueing system with random feedback ⋮ Equilibrium threshold strategies in observable queueing systems with setup/closedown times ⋮ Equilibrium balking strategies in renewal input queue with Bernoulli-schedule controlled vacation and vacation interruption ⋮ Performance analysis of a GI/M/1 queue with single working vacation ⋮ On a queue with interruptions and repeat or resumption of service ⋮ Fluid approximation and its convergence rate for GI/G/1 queue with vacations ⋮ The recursive solution for \(Geom/G/1(E,SV)\) queue with feedback and single server vacation ⋮ The GI/M/1 queue with start-up period and single working vacation and Bernoulli vacation interruption ⋮ Boundary value methods for transient solutions of queueing networks with variant vacation policy ⋮ Time-dependent analysis of M/G/1 vacation models with exhaustive service ⋮ On a batch arrival queuing system equipped with a stand-by server during vacation periods or the repairs times of the main server ⋮ An \(M/M/2\) queueing system with heterogeneous servers including one with working vacation ⋮ Stationary distribution of a multi-server vacation queue with constant impatient times ⋮ Queues with interruptions: a survey ⋮ Workload analysis of an \(M/G/1\) queue under the \(P^{M}_{\lambda}\) policy with a set-up time ⋮ Performance analysis of a non-preemptive priority queuing system subjected to a correlated Markovian interruption process ⋮ Reliability analysis of two-unit cold standby repairable systems under Poisson shocks ⋮ An \(M/G/1\) retrial \(G\)-queue with non-exhaustive random vacations and an unreliable server ⋮ The mean-field computation in a supermarket model with server multiple vacations ⋮ A recursive algorithm for state dependent \(GI/M/1/N\) queue with Bernoulli-schedule vacation ⋮ A \(G/M/1\) queueing system with \(P_\lambda^M\)-service policy ⋮ A simple repairable system with warning device ⋮ Discrete-time \(\mathrm{Geo}^X/G/1\) queue with unreliable server and multiple adaptive delayed vacations ⋮ Analysis of an M/M/\(c\) queueing system with impatient customers and synchronous vacations ⋮ Analysis of the scheduling mechanism for virtualization of links with partial isolation ⋮ Discrete-time renewal input multiple vacation queue with accessible and non-accessible batches ⋮ Analysis of \(GI/M(n)/1/N\) queue with state-dependent multiple working vacations ⋮ Analysis of finite buffer renewal input queue with balking and multiple working vacations ⋮ Maximum entropy approach for batch-arrival queue under \(N\) policy with an un-reliable server and single vacation ⋮ Analysis of an M/G/\(1\) queue with vacations and multiple phases of operation ⋮ A finite-source inventory system with postponed demands and modified M vacation policy ⋮ Analysis of variant working vacations on batch arrival queues ⋮ Analysis of a finite buffer variable batch service queue with batch Markovian arrival process and server's vacation ⋮ The \(M/G/1/K\) blocking formula and its generalizations to state-dependent vacation systems and priority systems ⋮ A multilevel control bulk queueing system with vacationing server ⋮ Optimization and sensitivity analysis of controlling arrivals in the queueing system with single working vacation ⋮ Optimal \((d,c)\) vacation policy for a finite buffer \(M/M/c\) queue with unreliable servers and repairs. ⋮ Batch arrival vacation queue with second optional service and random system breakdowns ⋮ The performance measures and randomized optimization for an unreliable server \(M^{[x}/G/1\) vacation system] ⋮ Algorithmic analysis of the multi-server system with a modified Bernoulli vacation schedule ⋮ On the discrete-time \(\mathrm{Geo}/G/1\) queue with randomized vacations and at most \(J\) vacations ⋮ Analytic and numerical aspects of batch service queues with single vacation ⋮ A two phases queueing system with Bernoulli vacation schedule under multiple vacation policy ⋮ Optimal management of the machine repair problem with working vacation: Newton's method ⋮ On the BMAP/G/1 G-queues with second optional service and multiple vacations ⋮ Analysis of an \(\mathrm{M}/\mathrm{M}/1\) queue with vacations and impatience timers which depend on the server's states ⋮ Conditional and unconditional distributions for M/G/1 type queues with server vacations ⋮ A batch arrival queue with different vacations ⋮ On existence and asymptotic behavior of the time-dependent solution of the \(\mathrm{M}/\mathrm{G}/1\) queueing model with optional deterministic server vacations ⋮ On single-server closed queues with priorities and state dependent parameters ⋮ The M/GI/1 Bernoulli feedback queue with vacations ⋮ Analyses of an M/M/N queue with servers' vacations ⋮ Second moment relationships for waiting times in queueing systems with Poisson input ⋮ A two-stage approach for task and resource management in multimedia cloud environment ⋮ Performance analysis of a single server retrial queue with working vacation ⋮ An \(M/G/1\) \(G\)-queue with server breakdown, working vacations and vacation interruption
Cites Work
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- 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
- Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules
- Blocking Probability for M/G/1 Vacation Systems with Occupancy Level Dependent Schedules
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- Analysis of the Exceptional Queueing System by the Use of Regenerative Processes and Analytical Methods
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- Level Crossings in Point Processes Applied to Queues: Single-Server Case
- An M/G/1 queueing model with vacation times
- M/G/1/N Queue with Vacation Time and Exhaustive Service Discipline
- On a Generalized M/G/1 Queuing Process in Which the First Customer of Each Busy Period Receives Exceptional Service
- Optimal Operating Policies for M/G/1 Queuing Systems
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