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Title: Using positioned completion times to solve a two-machine flowshop problem involving batching and scheduling

Conference ·
OSTI ID:36138

We address the problem of scheduling n jobs in a flow shop environment that consists of a batching machine with capacity c and a standard machine with capacity 1 such that total completion time is minimized. We formulate this problem as a pidgin integer programming problem by using the concept of position dependent completion times; to this formulation we apply Lagrangian relaxation to obtain a strong lower bound. We show that this lower bound dominates the bound that was obtained by Ahmadi et al. by applying Lagrangian relaxation to an ordinary formulation of this problem.

OSTI ID:
36138
Report Number(s):
CONF-9408161-; TRN: 94:009753-0413
Resource Relation:
Conference: 15. international symposium on mathematical programming, Ann Arbor, MI (United States), 15-19 Aug 1994; Other Information: PBD: 1994; Related Information: Is Part Of Mathematical programming: State of the art 1994; Birge, J.R.; Murty, K.G. [eds.]; PB: 312 p.
Country of Publication:
United States
Language:
English