Facility location problems arise for planning and stationing serve centers. The solution of facility location problem can be modeled by a fixed point model. The hard point is that the collection of alternative sites is non-convex set while solving facility location problem between urban inner and outer ring expressway. Commonly used method for solving fixed point model requires the definition set of variables is a convex set. The contribution of this paper is to apply the theorem of existence of the solution of fixed point problem to discuss the facility location problem in this kind of non-convex set and find the numerical result by the pathway tracing method. Numerical example shows that the numerical method by tracing the homotopy pathway with predictor-corrector is an effective method to solving the facility location problem and a global optimal solution can be obtained.

In this paper, a practice of design of experiments and data analysis for 28nm technology NMOS devices was introduced. Optimal design with I-optimality criterion was used for 5 input variables with 3 levels for each device, where total 23 runs/wafers were generated. Based on the response surface models by an excellent regression on device parametric data, both automatic maximum desirability analyses by JMP software and engineering knowledgebased analysis were carried out. The two methods generated similar prediction and the latter one helps gaining more insight on the device optimization. The prediction was exactly reproduced in silicon experiment.

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This article proposes improvements to the placement, organizational structure, and adaptability of the evaluation model and proposes a comprehensive evaluation model for the multiattribute scheme of the particle swarm optimization algorithm. The structure table of the multimedia building design plan evaluation index, the plan evaluation table, and the standardized model of the plan evaluation value of the common method was proposed. It also proposes the import of “with tutor” type data of particle swarm optimization algorithm as well as the self-organizing neural network evaluation model and calculation method of “no tutor” type resource import. According to the complexity of architectural design evaluation and the nonlinear relationship between related influencing factors, we have studied the principles and methods of applying system analysis, designed comprehensive evaluation models, and comprehensively evaluated architectural design schemes.