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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

Information

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

[1] Gilmore, P. C. and Gomory, R. E. (1964) Sequencing a one-state variable machine: a solvable case of the travelling salesman problem. Operat. Res. 12, 655–679.Google Scholar
[2] Papadimitriou, C. H. and Kanellakis, P. C. (1980) Flowshop scheduling with limited temporary storage. J. ACM 27, 533–549.Google Scholar
[3] Pinedo, M. (1982) Minimizing the expected makespan in stochastic flowshops. Operat. Res. 30, 148–162.CrossRefGoogle Scholar
[4] Pinedo, M. and Schrage, L. (1981) Stochastic shop scheduling: survey. PDRC Report Series No. 81–12, Industrial Eng., Georgia Institute of Technology.Google Scholar
[5] Prabhu, N. U. (1980) Stochastic Storage Process: Queues, Insurance Risk, and Dams. Springer-Verlag, New York.Google Scholar
[6] Reddi, S. S. and Ramamoorthy, C. V. (1972) On the flowshop sequencing problem with no-wait in process. Operat. Res. Quart. 23, 323–331.Google Scholar
[7] Röck, H. (1982) Flowshop scheduling with no-wait in process on three machines. Technische Universität Berlin, Operations Research, Bericht Nr. 82–7.Google Scholar
[8] Röck, H. (1983) Some new results on no-wait flowshop scheduling. Technishe Universität Berlin, Operations Research, Bericht Nr. 83–09.Google Scholar
[9] Sahni, S. and Cho, Y. (1977) Complexity of scheduling shops with no-wait in process. Technical Report 77–20, Computer Science Department, University of Minnesota, Minneapolis.Google Scholar