Scheduling jobs on unrelated parallel machines to minimize regular total cost functions

Date

1999-02-01

Author

Azizoğlu, Meral
Kirca, O

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In this paper we consider unrelated parallel machine scheduling problems that involve the minimization of regular total cost functions. We first present some properties of optimal solutions and then provide a lower bound. These mechanisms are tested on the well-known practical problem of minimizing total weighted flow time on unrelated parallel machines. In doing so, we design a branch and bound algorithm incorporating the mechanisms derived for the general total cost function along with the ones derived specifically for the total weighted flow time criterion. Computational experience indicates that incorporating reduction and bounding mechanisms significantly improves the performance of the branch and bound algorithm.

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URI

https://hdl.handle.net/11511/33382

Journal

IIE TRANSACTIONS

DOI

https://doi.org/10.1023/a:1007516602473

Collections

Department of Industrial Engineering, Article

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Citation Formats

M. Azizoğlu and O. Kirca, “Scheduling jobs on unrelated parallel machines to minimize regular total cost functions,” IIE TRANSACTIONS, pp. 153–159, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33382.