Bi-criteria Three Stage Fuzzy Flowshop Scheduling with Transportation Time and Job Block Criteria

Scheduling is an enduring process where the existence of real time information frequentlyforces the review and modification of pre-established schedules. the real world is complex andcomplexity generally arises from uncertainty. from this prospective the concept of fuzziness isintroduced in the field of scheduling. the present paper pertains to a bi-criterion in n-jobs, threemachines flowshop scheduling to minimize the makespan and the rental cost of the machines taken onrent under a specified rental policy in which processing time, transportation time are in fuzzyenvironment and are represented by triangular fuzzy membership function. further, the concept of jobblock to represent the relative importance of some jobs over other is also introduced. a heuristicalgorithm to find optimal or near optimal sequence optimizing the bi-criteria is discussed. anumerical illustration is given to demonstrate the computational efficiency of proposed algorithm.