- Numerical representation of random fields

The Bayesian classification rule used for the classification of the observations of the (second-order) stationary Gaussian random fields with different means and common factorised covariance matrices is investigated. The influence of the observed data augmentation to the Bayesian risk is examined for three different nonlinear widely applicable spatial correlation models. The explicit expression of the Bayesian risk for the classification of augmented data is derived. Numerical comparison of these models by the variability of Bayesian risk in case of the first-order neighbourhood scheme is performed.

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An Effective Markov Random Fields based Estimation of Distribution Algorithm and Scheduling of Flexible Job Shop Problem

IEEJ Transactions on Electronics Information and Systems ◽

10.1541/ieejeiss.134.796 ◽

2014 ◽

Vol 134 (6) ◽

pp. 796-805 ◽

Cited By ~ 4

Author(s):

Xinchang Hao ◽

Jing Tian ◽

Hao Wen Lin ◽

Tomohiro Murata

Keyword(s):

Random Fields ◽

Markov Random Fields ◽

Job Shop ◽

Estimation Of Distribution Algorithm ◽

Flexible Job Shop ◽

Markov Random ◽

Estimation Of Distribution ◽

Flexible Job Shop Problem

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Fatigue Investigation of Elastomeric Structures

Tire Science and Technology ◽

10.2346/1.3481658 ◽

2010 ◽

Vol 38 (3) ◽

pp. 194-212 ◽

Cited By ~ 11

Author(s):

Bastian Näser ◽

Michael Kaliske ◽

Will V. Mars

Keyword(s):

Fatigue Crack ◽

Fatigue Crack Growth ◽

Crack Growth ◽

Material Behavior ◽

Period Effect ◽

Numerical Representation ◽

Material Force ◽

Strain Behavior ◽

Dissipative Effects ◽

Elastomeric Materials

Abstract Fatigue crack growth can occur in elastomeric structures whenever cyclic loading is applied. In order to design robust products, sensitivity to fatigue crack growth must be investigated and minimized. The task has two basic components: (1) to define the material behavior through measurements showing how the crack growth rate depends on conditions that drive the crack, and (2) to compute the conditions experienced by the crack. Important features relevant to the analysis of structures include time-dependent aspects of rubber’s stress-strain behavior (as recently demonstrated via the dwell period effect observed by Harbour et al.), and strain induced crystallization. For the numerical representation, classical fracture mechanical concepts are reviewed and the novel material force approach is introduced. With the material force approach at hand, even dissipative effects of elastomeric materials can be investigated. These complex properties of fatigue crack behavior are illustrated in the context of tire durability simulations as an important field of application.

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