Consolidating theoretical results for weighted tardiness scheduling
by John J. Kanet, Xiaoming Li
International Journal of Advanced Operations Management (IJAOM), Vol. 1, No. 4, 2009

Abstract: We provide a theorem for 1||Σ w_jT_j, which specifies necessary and sufficient conditions for adjacent job pairs in an optimum schedule. This 'adjacency theorem' is compactly stated and a straightforward proof is provided. The theorem unifies the related literature and generalises three disparate earlier research findings into a single simple result. Also provided is a brief description of how the theorem could be usefully applied in a search algorithm for 1||Σ w_jT_j.

Online publication date: Wed, 27-Jan-2010

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