Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Control policies for the MX/g/1 queueing system
Management Science
Conditional and unconditional distributions for M/G/1 type queues with server vacations
Queueing Systems: Theory and Applications
Stochastic models in queueing theory
Stochastic models in queueing theory
On the additional delay in an M/G/1 queue with generalized vacations and exhaustive service
Operations Research - Supplement to Operations Research: stochastic processes
Batch arrival queue with N-policy and single vacation
Computers and Operations Research
On a batch arrival Poisson queue with a random setup time and vacation period
Computers and Operations Research
An MX/G/1 queueing system with a setup period and a vacation period
Queueing Systems: Theory and Applications
Discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations
Journal of Computational and Applied Mathematics
An algorithmic analysis of multi-server vacation model with service interruptions
Computers and Industrial Engineering
On departure process in the batch arrival queue with single vacation and setup time
Annales UMCS, Informatica
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We consider an Mx/G/1 queueing system with a vacation time under single vacation policy, where the server takes exactly one vacation between two successive busy periods. We derive the steady state queue size distribution at different points in times, as well as the steady state distributions of busy period and unfinished work (backlog) of this model.