Open Access
2013 Qualitative and Quantitative Integrated Modeling for Stochastic Simulation and Optimization
Xuefeng Yan, Yong Zhou, Yan Wen, Xudong Chai
J. Appl. Math. 2013(SI26): 1-12 (2013). DOI: 10.1155/2013/831273


The simulation and optimization of an actual physics system are usually constructed based on the stochastic models, which have both qualitative and quantitative characteristics inherently. Most modeling specifications and frameworks find it difficult to describe the qualitative model directly. In order to deal with the expert knowledge, uncertain reasoning, and other qualitative information, a qualitative and quantitative combined modeling specification was proposed based on a hierarchical model structure framework. The new modeling approach is based on a hierarchical model structure which includes the meta-meta model, the meta-model and the high-level model. A description logic system is defined for formal definition and verification of the new modeling specification. A stochastic defense simulation was developed to illustrate how to model the system and optimize the result. The result shows that the proposed method can describe the complex system more comprehensively, and the survival probability of the target is higher by introducing qualitative models into quantitative simulation.


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Xuefeng Yan. Yong Zhou. Yan Wen. Xudong Chai. "Qualitative and Quantitative Integrated Modeling for Stochastic Simulation and Optimization." J. Appl. Math. 2013 (SI26) 1 - 12, 2013.


Published: 2013
First available in Project Euclid: 7 May 2014

zbMATH: 1311.68182
Digital Object Identifier: 10.1155/2013/831273

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI26 • 2013
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