Correlation in Coupled Queues and Simulation of a Stochastic Approximation Procedure for Multiaccess Communications

Abstract : In this report, two separate topics in queing theory are discussed. In the first half of the thesis, methods are presented that are used to show that quantitative evidence of correlation exists in intuitively correlated coupled systems. The second half of this thesis concerns the use of simulations to verify that predictions are valid for specific random access control strategies. These control strategies include cases where the number of stations is allowed to slowly vary. (Author)