In this paper, we study new HOL-LJ scheme to guarantee the QoW of low priority cell with simple hardware which is not realizable in previously proposed HOL and HOL-PJ. the performance of the proposed scheme is evaluated by analysing an equivalent /M/M/1/N queuing system. In case of using the proposed scheme, we confirmed that good performance compared with HOL-PJ through simpulation and mathematical analysis. We also applied HOL-LJ algorithm to convetional Dual Buffer and Partial Buffer, and we analyzed the performance through computer simulation.