IEEE 802.16 can be seen as a compelling replacement for conventional broadband technologies because its primary goal is to provide Broadband Wireless Access (BWA). The variable and uncertain nature of wireless networks makes it much more challenging to ensure QoS in this network. WiMAX Technology is used to support various quality of services which includes UGS, rtps, nrtps, ertps and Best Effort. This study employs an IEEE 802.16 network simulator, which offers adaptable and reliable features for assessing a particular QoS parameters for rtps. Achieving better internet performance in real time services is a challenge now a days, and it is also need of present scenario. This work emphasized on better internet service with good quality of service using rtps with Relay Station and Without Relay Station. In this work the CBR packet size, CBR data rate and data rate with rtps service are fine-tuned for achieving the better performance with good quality of service. When comparing uplink connections in rtps with and without relay station, it is found that the throughput in the uplink is 200% greater when using a relay station. The throughput and goodput are evaluated in uploading and downloading with single and multiple subscriber stations and observed that the multiple subscriber stations in downloading give better performance as compare to single subscriber stations. The throughput and goodput in single subscriber stations is better than multiple subscriber station in uploading. the Academic researchers and commercial developers can use this analysis to validate different WiMAX Network implementation mechanisms and parameters.