Technical Note—A Note on theM/G/1 Queue with Server Vacations

Controllable Multi-Server Queue with Balking (TECHNICAL NOTE)

The Approach of Convergence to Stationary State of Multi Server Queue with Balking (TECHNICAL NOTE)

This investigation deals with multi server queue with balking. The customers arrive in poisson fashion and independent of time, under the assumption that system is initially empty. The number of customers in the system is stochastically increasing and distributed in steady state (stationary state) as required. The expressions for the measure of the speed of convergence from transient state to s...

A Note on a Multi-server Queue with Vacations of Multiple Groups of Servers

Jau-Chuan Ke, Chia-Huang Wu and Zhe George Zhang Department of Applied Statistics National Taichung University of Science and Technology, Taichung, Taiwan Department of Industrial Engineering and Management National Chiao Tung University, Hsinchu, Taiwan Department of Decision Science, College of Business and Economics Western Washington University, Bellingham, WA 98225-9077, USA (Received Octo...

A Preemptive Priority Queue as a Model with Server Vacations

We derive the performance measures for non-priority customers in a priority single-server queue with two types of Markovian arrival processes (MAPs). One type of customers has preemptive resume (or repeat) priority over the other. We regard the model with two types of MAP arrivals as an MAP/SM/l queue with only non-priority customers arrivals, semi-Markovian service times and some server vacati...

Optimization of M G 1 Queue with Vacation (TECHNICAL NOTE)

This paper reports on the minimization of the average waiting time of the customers in the M/G/1 queue with vacation. Explicit formula for the unknown service parameter of a particular customer has been obtained by considering the exhaustive service discipline in the case of multi-user with unlimited service system. Moreover, results in case of partially gated and gated service disciplines unde...