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Stochastic flowshop no-wait scheduling

Published online by Cambridge University Press:  14 July 2016

E. Frostig  and
I. Adiri
E. Frostig*
Affiliation:
Technion — Israel Institute of Technology
I. Adiri*
Affiliation:
Technion — Israel Institute of Technology
*
∗Postal address: Faculty of Industrial Engineering and Management, Technion City, Haifa 32000, Israel.
∗Postal address: Faculty of Industrial Engineering and Management, Technion City, Haifa 32000, Israel.
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Abstract

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.

Keywords

STOCHASTIC SCHEDULING
Type
Short Communications
Information
Journal of Applied Probability , Volume 22 , Issue 1 , March 1985 , pp. 240 - 246
Copyright
Copyright © Applied Probability Trust 1985 

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References

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