Rental Cost minimization for FSSP with equipotential machines

Scheduling, the method that deals with arranging the jobs on machines in industries or preparing a sequence of programs to be run on computers or in setting a time table and in many other such situations, is a powerful tool to handle these conditions easily. Usually, in industries for doing specific tasks, there are multiple machines instead of a single one. But all the machines are not having the same operational cost. So, jobs are assigned to these machines in a sequence so that the unit operational cost can be reduced to minimum along with reducing the total elapsed time. The present paper gives a brief description of a situation where the first stage of jobs is completed on equipotential machines and for the second stage the machine is taken on rent. So, the objectiveconsidered in this paper is to arrange the jobs in such a way that the rental cost can be minimized along with the total elapsed time.