A Broadband Wireless Access technology known as Worldwide Interoperability for Microwave Access (WiMAX) is based on IEEE 802.16 standards. It uses orthogonal frequency division multiple accesses (OFDMA) as one of its multiple access technique. Major design factors of OFDMA resource allocation are scheduling and burst allocation. To calculate the appropriate dimensions and location of each user’s data so as to construct the bursts in the downlink subframe, is the responsibility of burst allocation algorithm. Bursts are calculated in terms of number of slots for each user. Burst Allocation Algorithm is used to overcome the resource wastage in the form of unused and unallocated slots per frame. It affects the Base station performance in mobile WiMAX systems. In this Paper, HOCSA (Hybrid One Column Striping with Non Increasing Area) algorithm is proposed to overcome frame wastage. HOCSA is implemented by improving eOCSA algorithm and is evaluated using MATLAB. HOCSA achieves significant reduction of resource wastage per frame, leading to more exploitation of the WiMAX frame.