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THE THERMAL DESIGN PROBLEM
THE DESIGN PROBLEM WITH UNCERTAIN PARAMETERS
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angle approximation assumed atures Ax<b basic variable boundary calculate Chapter Chebyshev problem choosing computation considered convergence convex function decrease defined design function design requirements design variables determine diffusely reflected direction vector efficient error functions feasible design feasible directions method feasible region Figure given heat transfer inequalities interior point method inverted matrix iterations linear constraints linear programming linear programming problem linear subproblem lower bound MAP method minimum nodal energy equations nominal value nonconvex nonlinear constraints nonlinear functions nonlinear programming problem normally distributed number of nodes objective function obtain optimization optimum steplength ordinary differential equations parameters partial derivatives probability of success problem Minimize pseudo-convex represents satisfy sequence of points simplex algorithm simplex method solar absorptance solar flux solution specular reflectances standard deviation starting point step tableau tangent plane methods temperature distribution thermal design problem total exchange factor transient ty(x upper bounds algorithm variance matrix zero Zoutendijk