Note—On the Single Machine Scheduling Problem with Quadratic Penalty Function of Completion Times: An Improved Branching Procedure

Published Online:https://doi.org/10.1287/mnsc.30.5.644

This paper gives optimality conditions to obtain a priori precedence relationships among some of the jobs in a single machine scheduling problem so as to curtail the enumeration while using branch-and-bound technique. The objective is to minimize a quadratic (or generalized quadratic) penalty function of job completion times.

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