Volume 16, No 3, 2009, P. 7498
UDC 519.854.2
D. A. Chemisova
On properties of optimal schedules in the flow shop problem with preemption and an arbitrary regular criterion
Abstract:
We investigate the properties of optimal solutions of the NPhard flow shop scheduling problem with preemption and an arbitrary regular objective function. It is shown that for any instance of the problem its optimal solution can be found by choosing appropriate job priority orders on each machine. The number of preemptions in such schedule is estimated from above. It is also shown that the length of the optimal schedule (for a specified regular criterion) is always equal to the total length of operations from a certain subset. The results of the paper significantly extend previously known results established for the flow shop problem with the minimum makespan objective.
Illustr. 5, bibl. 10.
Keywords: theory of scheduling, preemption, optimal schedule, regular criterion.
Chemisova Darya Aleksandrovna ^{1}
1. S. L. Sobolev Institute of Mathematics, SB RAS,
4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
email: jad99@mail.ru
