Document Type
Article
Publication Title
Journal of Applied Mathematics and Simulation
Abstract
This paper deals with a multi-channel queueing system with a finite waiting room but without losses. The latter is achieved by a temporary interruption of the input flow activity until the waiting room is ready to place a new customer. In addition, the input flow on its busy period is non-recurrent: It is state dependent and may be controlled over relevant times of decision making. A similar model without interruptions (i.e. with losses) was earlier studied by the author, where in particular, major probability characteristics of the queueing process in equilibrium were obtained. Now the author derives a simple explicit relation between the two models allowing the given queue to inherit the results previously obtained. New techniques for semi-regenerative processes are used.
DOI
10.1155/S1048953389000158
Publication Date
1989
Recommended Citation
Dshalalow, J. (1989). On a multi-channel queue with state dependent input flow and interruptions. Journal of Applied Mathematics and Simulation, 2(3), 199.