Poisson input queueing system with startup time and under control-operating policy
Computers and Operations Research
Computational analysis of steady-state probabilities of M/Ga,b/1 and related nonbulk queues
Queueing Systems: Theory and Applications
Transient solution for a finite capacity M/Ga,b/1 queueing system with vacations to the server
Queueing Systems: Theory and Applications
Control policies for the MX/g/1 queueing system
Management Science
A Poisson input queue under N-policy and with a general start up time
Computers and Operations Research
A continuous approximation for batch arrival queues with threshold
Computers and Operations Research
Queueing systems with state dependent parameters
Frontiers in queueing
A Feedback Queueing System With Batch Arrivals, Bulk Service, and Queue-Dependent Service Time
Journal of the ACM (JACM)
A bulk input queueing system with batch gated service and multiple vacation policy
Mathematical and Computer Modelling: An International Journal
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This paper deals with a bulk input-batch service queueing system and (r,N)-hysteretic control, i.e., under N-policy and r-quorum discipline. The model also includes state dependent service. The goal of such global control is to reduce the waste of server capacity (r-quorum), an unwanted number of switchovers between idle and busy modes (N-policy), and the queue length (by means of variable service rates). The analysis of the system is based on first excess level technique developed by the second author. This approach enables the authors to obtain major characteristics for the queueing process in a closed analytical form.