On the minimization of total weighted flow time with identical and uniform parallel machines

1999-02-16
We consider the NP-hard problem of scheduling jobs on identical parallel machines to minimize total weighted flow time. We discuss the properties that characterize the structure of an optimal solution, present a lower bound and propose a branch and bound algorithm. The algorithm is superior to prior methods presented in the literature. We also extend the algorithm to uniform parallel machines and solve medium-sized problem instances.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH

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Citation Formats
M. Azizoğlu, “On the minimization of total weighted flow time with identical and uniform parallel machines,” EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, pp. 91–100, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41915.