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A modified concave simplex algorithm for geometric programming
Authors:P A Beck  J G Ecker
Institution:1. Armament Development and Test Center (TSX), USAF, Eglin AFB, Florida
2. Department of Mathematics, Rensselaer Polytechnic Institute, Troy, New York
Abstract:An algorithm for solving posynomial geometric programs is presented. The algorithm uses a modification of the concave simplex method to solve the dual program which has a nondifferentiable objective function. The method permits simultaneous changes in certain blocks of dual variables. A convergence proof follows from the convergence proof of the concave simplex method. Some computational results on problems with up to forty degrees of difficulty are included.
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