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Flowshop scheduling problem to minimize total completion time with random and bounded processing times

Y N Sotskov, A Allahverdi () and Lai T-C
Additional contact information
Y N Sotskov: United Institute of Informatics Problems
A Allahverdi: Kuwait University
Lai T-C: National Taiwan University

Journal of the Operational Research Society, 2004, vol. 55, issue 3, 277-286

Abstract: Abstract The flowshop scheduling problems with n jobs processed on two or three machines, and with two jobs processed on k machines are addressed where jobs have random and bounded processing times. The probability distributions of random processing times are unknown, and only the lower and upper bounds of processing times are given before scheduling. In such cases, there may not exist a unique schedule that remains optimal for all feasible realizations of the processing times, and therefore, a set of schedules has to be considered which dominates all other schedules for the given criterion. We obtain sufficient conditions when transposition of two jobs minimizes total completion time for the cases of two and three machines. The geometrical approach is utilized for flowshop problem with two jobs and k machines.

Keywords: scheduling; flowshop; uncertainty; geometrical approach; total completion time (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (3)

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DOI: 10.1057/palgrave.jors.2601682

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