Sonia Cafieri, Jon Lee, et al.
Journal of Global Optimization
In power generation and other production settings, technological constraints force restrictions on the number of time periods that a machine must stay up once activated, and stay down once deactivated. We characterize the polyhedral structure of a model representing these restrictions. We also describe a cutting-plane method for solving integer programs involving such min-up and min-down times for machines. Finally, we demonstrate how the polytope of our study generalizes the well-known cross polytope (i.e., generalized octahedron). © 2004 Elsevier B.V. All rights reserved.
Sonia Cafieri, Jon Lee, et al.
Journal of Global Optimization
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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