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Recently, artificial bandgap materials (such as photonic crystals and phononic crystals) have been becoming the research hotspot of the next generation intelligent materials, because of its extremely designable, tunable and controllable capacity of classical waves. On the other hand, topological material phase, originally proposed and first demonstrated in Fermionic electronic systems, has been proposed in more and more Bosonic systems. In this review paper, we first focus on some of the representative photonic/phononic topological models, and four common types of topological photonic system are discussed:1) photonic/phononic quantum Hall effect with broken time-reversal symmetry; 2) photonic topological insulator and the associated pseudo-time-reversal symmetry protected mechanism; 3) time/space periodically modulated photonic Floquet topological insulator; 4) a summary and outlook including a brief introduction of Zak phase in one-dimensional systems and Weyl point in three-dimensional systems. Finally, the underlying Dirac model is analyzed.

In order to improve the auto-generating test paper's quality at the cost of low time, an intelligent algorithm based on immune genetic algorithm was proposed. In the algorithm immune process was added into the basic framework of genetic algorithm, and the algorithm based on vaccination was put forward and used for test paper auto-generating. The problem that genetic algorithm is precocity and easy to fall into a local optimization was resolved by this algorithm. The feasibility and validity of the algorithm was proved by test data compared with other algorithms. At last the validating system enhances the users' condition constraints for test paper through manual inching, thus the system is more simple and practical.

In a remanufacturing reverse supply chain consisting of a manufacturer with random yield and a recycling business with uncertain supply, a Stackelberg game problem was studied, where recycling business determines the selling price before uncertain supply was realized, and the Manufacturer determines the order quantity. The existence and uniqueness of the Stackelberg equilibrium were proved, and some properties were obtained, including the manufacturer's order quantity does not depend on the recycling business's uncertain supply, and the Manufacturer 's shortage risk are larger than that with no supply uncertainty. At last, a numerical analysis was given.