Two-Dimensional Fluid Queues with Temporary Assistance
Stochastic fluid models have a wide range of applications such as water reservoir operational control, industrial and computer engineering, risk analysis, environmental analysis, and telecommunications. In particular, they have been used in telecommunication modeling since the seminal article . With the advent of differentiated services, buffers have, in a very natural way, become multidimensional. To give another example, that of decentralized mobile networks, callers transmit data via each other’s equipment, and it is necessary to determine the appropriate fractions of caller capacity, be it buffer space or power, that may be allocated to other users.
This work was subsidized by the ARC Grant AUWB-08/13-ULB 5 financed by the Ministère de la Communauté Française de Belgique. The second author also gratefully acknowledges the hospitality of the Mathematical Institute at the University of Wrocław, where part of this work was done.
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