Stochastic modelling and analysis: a computational approach
Stochastic modelling and analysis: a computational approach
Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Control policies for the MX/g/1 queueing system
Management Science
The GI/M/1 queue with exponential vacations
Queueing Systems: Theory and Applications
Batch arrival queue with N-policy and single vacation
Computers and Operations Research
Analysis of a bulk queue with N-policy multiple vacations and setup times
Computers and Operations Research
On the finite-buffer bulk-service queue with general independent arrivals: GI/M[b]/1/N
Operations Research Letters
Discrete-time GI/Geo/1 queue with multiple working vacations
Queueing Systems: Theory and Applications
International Journal of Computer Mathematics
Near optimal buffer allocation in remanufacturing systems with N-policy
Computers and Industrial Engineering
Busy period analysis for the GI/M/1 queue with exponential vacations
Operations Research Letters
On stochastic decomposition in the GI/M/1 queue with single exponential vacation
Operations Research Letters
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This paper studies a single removable server in a G/M/1 queueing system with finite capacity where the server applies an N policy and takes multiple vacations when the system is empty. We provide a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining interarrival time, to develop the steady-state probability distributions of the number of customers in the system. The method is illustrated analytically for exponential and deterministic interarrival time distributions. We establish the distributions of the number of customers in the queue at pre-arrival epochs and at arbitrary epochs, as well as the distributions of the waiting time and the busy period.