Wavefront and caustic surfaces of refractive laser beam shaper
David L. Shealy, John A. Hoffnagle
SPIE Optical Engineering + Applications 2007
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.
David L. Shealy, John A. Hoffnagle
SPIE Optical Engineering + Applications 2007
Jon Lee, François Margot
INFORMS Journal on Computing
Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Joy Y. Cheng, Daniel P. Sanders, et al.
SPIE Advanced Lithography 2008