This book is devoted to the generalization and systematization of the models and methods to study the cyclic polling systems and their application to design and optimize the broadband wireless networks. New polling models adequately describing the performance of the broadband wireless Wi-Fi and Wi-MAX networks with PCF are presented. We provide the definition and classification of polling systems. Much attention is given to methods for analysis and optimization of the polling systems. In addition to classical polling models, we consider the reservation schemes to poll the queues, models with threshold service and new models with limited service, which are of great theoretical and practical interest. We briefly review the priority queueing systems similar to polling ones with priority-type service policy. The numerical results of design and performance estimation of the broadband wireless networks with PCF and adaptive dynamical polling are obtained on the base of polling models and are shown in the text. The book is intended for specialists in the field of stochastic systems, computer network designers, post-graduates and students of the technical universities.