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This paper considers fluid analogues for the standard linear programming problem and for a separable nonlinear programming problem. In the former case the usual duality results are demonstrated using ...
W. E. Diewert, A. D. Woodland, Frank Knight's Theorem in Linear Programming Revisited, Econometrica, Vol. 45, No. 2 (Mar., 1977), pp. 375-398 ...
Perold, André, and R. Meidan. "Optimality Conditions and Strong Duality in Abstract and Continuous Time Linear Programming." Journal of Optimization Theory and Applications 40, no. 1 (May 1983): 61–76 ...