Some problems of collaborative optimization based on iSIGHT

The Collaborative Optimization (CO) is an easily accepted technique which has been utilized by engineering designer. There are three problems on how to actualize CO in iSIGHT: (1) the ξ called the relaxation parameter has some subjectivity and blindness in choosing an exact value; (2) CO will be converged sometimes at a point which does not meet the constraint of sub-discipline, if the actual optimal point is at the boundary of the sub-discipline constraint; (3) a technique called the Dynamic Relaxation could not improve the ability of universal search under some conditions. We emphasize that, in the full paper, we explain the methods of solving these three problems in some detail. The core of our explanation consists of: "The first topic is how to confirm an exact ξ. In the first topic, the optimal points of CO based on the diverse ξ have been calculated, and an advisable region of ξ has been given. The second topic is the case that the optimal point violates the constraint of sub-discipline. A method called the Shrunk Region improves this situation based on the confirmed ξ. The third topic is about the Dynamic Relaxation. In this topic, an improved Dynamic Relaxation has been developed. Section 1 describes the flow of CO by iSIGHT. The history plot of response f is shown by Fig.5. Subsections 2.1, 2.2 and 2.3 introduce how the problems have been discovered, analyzed and solved by certain methods. Tab.1 gives the optimal points of CO based on the diverse ξ. Fig.6 shows how the Shrunk Region improves this situation based on the confirmed ξ and enhances its applicability. An improved Dynamic Relaxation has been introduced in subsection 2.3 which increases the probability of finding global optimal point, and the history plot of response f is shown by Fig.10.".