RESEARCH PAPERS: Technical Papers

On Multilevel Optimization of a Combined Static and Dynamic Problem

[+] Author and Article Information
P. N. Nikiforuk, M. M. Gupta, K. Tamura

Systems and Adaptive Control Research Laboratory, College of Engineering, University of Saskatchewan, Saskatoon, Sask., Canada

J. Dyn. Sys., Meas., Control 98(3), 260-265 (Sep 01, 1976) (6 pages) doi:10.1115/1.3427032 History: Received March 08, 1976; Online July 13, 2010


The solution of a combined static and dynamic optimization problem is considered in this paper. By means of a feasible decomposition procedure this combined problem is first decomposed into a two-level optimization problem. In this new problem the first-level subproblem is found to be one of conventional optimal control and mathematical programming which can be solved using known techniques. For the solution of the second-level problem a computational algorithm is developed using the gradient projection method. The existence of the solution is investigated. To illustrate the applicability of the method, a simplified gantry crane yard design problem is considered and some computational results are given.

Copyright © 1976 by ASME
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