
This paper deals with special cases of stochastic flowshop, no-wait, scheduling. n jobs have to be processed by m machines . The processing time of job Ji on machine Mj is an independent random variable Ti . It is possible to sequence the jobs so that , . At time 0 the realizations of the random variables Ti , ( i are known. For m (m ≧ 2) machines it is proved that a special SEPT–LEPT sequence minimizes the expected schedule length; for two (m = 2) machines it is proved that the SEPT sequence minimizes the expected sum of completion times.
Applications of mathematical programming, Deterministic scheduling theory in operations research, stochastic scheduling, stochastic flowshop, no-wait, scheduling, expected sum of completion times, Stochastic programming
Applications of mathematical programming, Deterministic scheduling theory in operations research, stochastic scheduling, stochastic flowshop, no-wait, scheduling, expected sum of completion times, Stochastic programming
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