Several multimedia applications use basic technology as video-on-demand (VOD). In a VOD system, a number of concurrent video streams a server can support are limited by available server capacity. Several resource sharing techniques such as batching, patching and caching are employed for efficient use of server capacity. This paper primarily focuses on VOD server that employ batching as the resource sharing technique. While batching uses server and network resources efficiently, it leads into increase in the time of service (waiting time). If the time of service becomes too large, users may renege. To keep the time of service within the user’s reneging tolerance with limited server resources is a challenge for VOD system designers and operators. This study brings out a model to analyze proposed batching policy in view of normal and exponential distributed user reneging behavior and gives out the optimum value of batching interval to ma ximize the average number of users serviced and minimize the reneging probability. The simulation results confirm analytical results within 1-2% accuracy.