A Lagrangean Relaxation Algorithm for the Two Duty Period Scheduling Problem
- 1 March 1980
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Management Science
- Vol. 26 (3) , 274-281
- https://doi.org/10.1287/mnsc.26.3.274
Abstract
The two duty period scheduling problem is an integer programming problem with 0-1 constraint coefficients. It is recognized that the problem can be reformulated as a one duty period problem with side constraints. Since the one duty period problem can be solved as a minimal cost network flow problem, we dualize with respect to the side constraints, forming a Lagrangean relaxation which is easily solved. Subgradient optimization is used to maximize the Lagrangean. Computational results are reported for several large problems.Keywords
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