  In this paper, we conduct a study to optimize resource allocation for
adaptive real-time and delay-tolerant applications in cellular systems. To
represent the user applications via several devices and equipment,
sigmoidal-like and logarithm utility functions are used. A fairness
proportional utility functions policy approach is used to allocate the
resources among the user equipment (UE)s in a utility percentage form and to
ensure a minimum level of customer satisfaction for all the subscribers.
Meanwhile, the priority of resources allocation is given to the real-time
applications. We measure the effect of the stochastic variations of the
adaptive real-time applications on the optimal rate allocation process and
compare the results of deterministic and stochastic systems. Our work is
distinct from the other resource allocation optimization works in that we use
bisection method besides convex optimization techniques to optimally allocate
rates, and we present the adaptive real- time applications in a stochastic
form. We use Microsoft Visual Basic for Applications with Arena Simulation
Software interface to simulate the optimization problem. Finally, we present
our optimization algorithm results.
