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This paper is concerned with optimization of distributed broadband wireless communication (BWC) systems. BWC systems contain a distributed antenna system (DAS) connected to a base station with optical fiber. BWC systems have been proposed as a solution to the power constraint problem in traditional cellular networks. So far, the research on BWC systems have advanced on two separate tracks, design of the system to meet the quality of service requirements (QoS) and optimization of location of the DAS. In this paper, we consider a combined optimization of BWC systems. We consider uplink communications with multiple levels of priority traffic having any renewal arrival and departure processes. We develop an analysis that determines packet delay violation probability for each priority level as a function of the outage probability of the distributed antenna system through the application of results from renewal theory. Then, we determine the optimal locations of the antennas that minimize the antenna outage probability. We also study the trade off between the packet delay violation probability and packet loss probability.