Jonathan Ashley, Brian Marcus, et al.
Ergodic Theory and Dynamical Systems
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.
Jonathan Ashley, Brian Marcus, et al.
Ergodic Theory and Dynamical Systems
L Auslander, E Feig, et al.
Advances in Applied Mathematics
Martin C. Gutzwiller
Physica D: Nonlinear Phenomena
J. LaRue, C. Ting
Proceedings of SPIE 1989