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New for: D1, D2, D3, D4

What and Who

Stability radius of an optimal schedule

Prof. DSC. Yuri N. Sotskov
Inst. of Engineering Cybernetics of the Academy of Sciences, Belarus
Talk
AG 1, AG 2, AG 3, AG 4  
Expert Audience

Date, Time and Location

Monday, 22 January 2001
11:00
-- Not specified --
15
101
Saarbrücken

Abstract

We investigate the two-machine n-job flow-shop scheduling problem with the objective of minimizing the makespan and given non-availability intervals on each of the two machines. It was proven recently that this problem is NP-hard even if there is only one non-availability interval either on the first machine or on the second machine. If there are no non-availability intervals on any machine, then the two-machine flow-shop problem may be solved using Johnson's schedule constructed in O(n log n) time. Our results demonstrate that the optimality of Johnson's schedule is not violated if there exist only sufficiently small non-availability intervals. The instrument we use is stability analysis which answers the question how stable the property of a schedule to be optimal is if there are independent changes in the processing times of the jobs.

Contact

Dipl.-Inform. Oliver Braun
302-4336
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