Permutation Schedules Are Good For Realistic Flow Shop - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2001

Permutation Schedules Are Good For Realistic Flow Shop


It is well known that the permutation flow shop solutions are dominant subsets for problems with two machines to minimize any regular criterion and for problems with three machines to minimize the makespan. For m ³ 4, Potts et al. (1991) showed that the ratio (the best makespan for permutation solutions) / (the best makespan for general solutions) can increase to infinity with the number of jobs and the number of machines. Röck and Schmidt (1983) proved that this ratio is limited by half the number of machines. This work is an attempt to show that permutation solutions remain good when the shop satisfies some simple conditions which are natural and realistic for an industrial workshop. Some new results are proved for small particular cases.
Not file

Dates and versions

inria-00100515 , version 1 (26-09-2006)


  • HAL Id : inria-00100515 , version 1


Mikhail Y. Kovalyov, Marie-Claude Portmann, Riad Aggoune. Permutation Schedules Are Good For Realistic Flow Shop. International Conference on Industrial Engineering and Production Management - IEPM'2001, CENTOR, Université Laval Québec (Can) et CREGI, Facultés Universitaires Catholiques de Mons (B), 2001, Quebec, Canada, pp.1147-1155. ⟨inria-00100515⟩
83 View
0 Download


Gmail Facebook Twitter LinkedIn More