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How To Form A Concurrent Engineering Team
Published in Thomas A. Salomone, What Every Engineer Should Know About, 2019
The engineering function provides team member support. The support activities include product research, engineering standards support, laboratory support, information technology support including applications, and technical consultants and specialists to help with difficult areas. The support function allows team members access to ongoing activities so that their product development can take advantage of the latest technologies, product research and software applications. In addition, the engineering support function provides the ongoing laboratory facilities that engineers can use to test out new ideas and concepts prior to placing them into the product design. This function often includes the design verification, reliability and qualification personnel and facilities.
Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets
Published in Optimization, 2022
R. Baier, G. Eichfelder, T. Gerlach
The parametrization of sets via their support functions and supporting points is in the following of central importance. For a non-empty convex set the support function is defined by Based on this for a given direction the supporting face of A w.r.t. l is defined by An element of the supporting face is called a supporting point. In case , the singleton is called an exposed point of A w.r.t. l. Moreover, it is easy to see that for all and all .
An efficient augmented Lagrangian method for support vector machine
Published in Optimization Methods and Software, 2020
(i) We only need to show that satisfies the error bound condition for the origin with modulus . By Definition 2.2.1 in [39], (14) is convex piecewise linear-quadratic programming problem. By [39, Proposition 2.2.4], we know that the corresponding operator is polyhedral multivalued function. Therefore, by Proposition 3.7, the error bound condition holds at the origin with modulus . Following Theorem 3.3 in [20], we proved (i). To show (ii), first note that the second order sufficient condition holds for problem (13) by Proposition 3.3. On the other hand, by Proposition 2.4, is the support function of a non-empty polyhedral convex set. Consequently, by Theorem 2.7 in [20], is metrically subregular at for the origin. Then by the second part of Theorem 3.3 in [20], (ii) holds. The proof is finished.
On approximate optimality conditions for robust multi-objective convex optimization problems
Published in Optimization, 2023
Pengcheng Wu, Liguo Jiao, Yuying Zhou
Let be a proper lsc convex function. The support function of the set is then where p is the positively homogeneous convex function generated by . Dually, the closure of the positively homogeneous convex function q generated by h is the support function of the set .