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In service with the problem of determining the outputs of the generating units the Economic dispatch is concerned, keeping the fuel cost to the minimum, in order to meet the total load. At equal incremental costs all the units (excluding those who are at their limit) would be operating, it is well known that at the optimum point. At the solution point in addition to the power demand in systems having some co-generation units, additional constraints have to be satisfied. For such system the simple equal incremental cost based economic dispatch schemes cannot be used. On the type of co-generation units the additional constraints that one has to include into the economic dispatch problem is depend. The economic dispatch problem of the system having co-generation type of units is addressed by the several researchers. With combined cycle co-generation units the economic dispatch of systems having simple cycle co-generation units has been investigated in the ED problem. In scheduling of back-pressure cogeneration plants the daily operation scheduling of co-generation units having heat storage tanks has been studied, additional issues like the time of use rate, wheeling, etc., have also been included. For the combined heat and power dispatch of systems it is seen that the mathematical models having cogeneration units turn out to be different depending on the type of the units as well as the operating environment of the units.