LTE (Long Term Evolution) systems involve the allocation of resources in a manner to benefit the user by providing high data rate to the users. In resource allocation there is a major role of scheduling which has become an essential component for high-speed wireless data systems. This allocation of resources is done according to the need and priority of the user. LTE uses OFDM (Orthogonal Frequency Division Multiplexing) for downlink transmission. In resource allocation algorithms in OFDM of LTE systems, the allocation of the radio resource has to be in the units of Scheduling Block (SB) and there exists the need for all SBs of each user to use the same Modulation and Coding Scheme (MCS) leading to the degradation of performance.