In wireless ad-hoc networks, signal interference and collisions from simultaneous transmissions

of neighboring nodes significantly degrade throughput. Hence, it is necessary to devise scheduling

policies for coordinating wireless transmissions.

In this thesis, we focus on maximum stable throughput scheduling in mobile, finite node, wireless

ad-hoc networks, whose topology changes according to a stationary and ergodic process. In

particular, we study the i.i.d topology case, and we extend our results to the more general case of

Markov and Hidden Markov topology processes. Initially, we introduce a centralized stationary

scheduling rule and then prove that it maximizes the stable throughput the network can sustain.

Finally, we show through simulations that mobility of the nodes may considerably improve the

network throughput and plot the corresponding results through a Monte Carlo method.