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Several multimedia applications use video-on-demand (VOD) as basic technology. In a VOD system the 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 to increase in the time of service (waiting time). If the time of service becomes too large, users may renege. It is a challenge for VOD system designers and developers to keep the time of service within the user's reneging tolerance with limited server resources. This study brings out a model to analyze proposed batching policy in view of different user reneging behaviors and gives out the optimum value of batching interval to maximize the average number of uses serviced and minimize reneging probability.