The objective of the economic dispatch problem is to schedule the committed generating units output so as to meet the required load demand while satisfying the system equality and inequality constraints. The improvements in the scheduling of generating units can lead to significant cost savings. This paper presents a sequential approach for solving the economic dispatch of thermal units. This is a maiden attempt has been developed to obtain the optimal dispatch solutions for all achievable load demands of a system in single execution. The feasibility of the proposed method is demonstrated for suitable test systems. The generator operational constraints such as ramp rate limits and prohibited operating zones and transmission loss are considered. The simulation results are compared with the recent reports in terms of solution quality. Numerical results indicate an improvement in the cost saving and hence the superiority of the proposed method is also revealed for economic dispatch problems.