Broaching is a very common manufacturing process for the machining of internal or external complex shapes into parts. Due to the process geometry, broaching tool is the most critical parameter of the broaching process. Therefore, optimal design of the tools is needed in order to improve the productivity of the process. In this paper, a methodology is presented for optimal design of the broachin...

We obtain V-optimal designs, which minimize the average variance of predicted regression responses, over a finite set of possible regressors. We assume a general and possibly heterogeneous variance structure depending on the design points. The variances are either known (or at least reliably estimated) or unknown. For the former case we exhibit optimal static designs; our methods are then modif...

A maximum principle in the form given by R.V. Gamkrelidze is obtained, although without a priori regularity assumptions to be satisfied by the optimal trajectory. After its formulation and proof, we propose various regularity concepts that guarantee, in one sense or another, the nondegeneracy of the maximum principle. Finally, we show how the already known first-order necessary conditions can b...

The Shuttle's two-dimensional entry trajectory planning method is extended to threedimensions. Both angle of attack and angle of bank variations are used to control the entry trajectory. The trajectory planning is done with a third-order system of di erential equations using the drag and lateral accelerations as intermediate controls. The reducedorder planning problem is solved as an optimal co...

Necessary and sufficient conditions are derived such that a multi-input, time-varying, linear state-feedback system minimizes a quadratic performance index (the inverse linear optimal control problem). A procedure for determining all such equivalent performance indices that yield the same feedback matrix is indicated.

larger tumor burden leads to higher serum ca-125 levels and the ability to perform optimal tumor cytoreduction of advanced ovarian cancer is also a function of tumor bulk. the purpose of this study was to identify the ability of preoperative serum ca-125 to predict possibility of optimal primary tumor cytoreduction in epithelial ovarian carcinoma (eoc). a total of 90 patients with eoc were eval...