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The Maxima of Functions Through Use of the Calculus
Unconstrained Peak Seeking Methods
9 other sections not shown
algorithm approach blast furnace boundary conditions bubble Chapter chemical chemical reactor coefficients coke computational constant control variables conversion convex convex set crude steel decomposition defined differential equations discrete maximum principle discussed dynamic programming equality constraints example feasible region fraction given gradient method hot metal illustrate inequality constraints initial input Lagrange multipliers large number Let us consider linear programming mass transfer mathematical matrix maximize maximum principle megatons metallurgical minimize modeling equations necessary conditions nonlinear programming objective function operation optimal policy optimal temperature progression optimization problems optimum output oxidation packed bed parameter penalty function prereduced pellets procedure process optimization production rate programming problems quadratic reaction reactor relationship scrap Shadow price shown in Fig simplex sinter sketched in Fig solution solved stage starting point step stream subsystem theorem tons/annum trajectory optimization unconstrained Unit cost