Abstract

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.

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