Numerical optimization using desktop computers
Cole, Walter Bacon
Vanderplaats, Garret N.
Kelleher, Matthew D.
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Two computer programs were developed in advanced BASIC to perform numerical optimization of a user supplied design problem on the Hewlett Packard 9845A desktop computer. An executive program, OPCON, provides the interactive link between the computer user and the DESOP numerical optimization program. DESP performs the numerical optimization using the sequential unconstrained minimization technique with an external penalty function. The unconstrained subproblem is solved using the Fletcher-Reeves method of conjugate directions, and using Golden Section search and polynomial interpolation in the one-dimensional search. A computer subprogram, NISCO, was developed in advanced BASIC to model a nonimaging concentrating compound parabolic trough solar collector. Thermophysical, geophysical, optical and economic analyses were used to computer a life-cycle fuel savings, for a design of stated thermal capacity. NISCO was coupled to the OPCON/DESOP optimization program to find the design which maximizes the life-cycle fuel savings.
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