Approximately optimal control of fluid networks
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Mathematics of Operations Research
Minimizing makespan in a multiclass fluid network with parameter uncertainty
Probability in the Engineering and Informational Sciences
Journal of Global Optimization
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This paper discusses the nature of optimal solutions for a class of continuous linear programs called separated continuous linear Programs. It is shown that under various different assumptions on the problem data there exist optimal solutions that are piecewise constant, piecewise polynomial, or, more generally, piecewise analytic. These results are reminiscent of bang-bang results in linear optimal control.