Approximately optimal control of fluid networks
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Journal of Global Optimization
Operations Research Letters
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This paper discusses the form of solutions for a class of continuous linear programs called separated continuous linear programs. It is shown that under certain assumptions on the problem data the optimal solutions can be taken to be piecewise analytic functions. This yields a strong duality result as a corollary.