Mathematical Problems in Engineering The latest articles from Hindawi Publishing Corporation © 2015 , Hindawi Publishing Corporation . All rights reserved. The Knowledge of Expert Opinion in Intuitionistic Fuzzy Linear Programming Problem Mon, 03 Aug 2015 14:28:46 +0000 In real life, information available for certain situations is vague and such uncertainty is unavoidable. One possible solution is to consider the knowledge of experts on the parameters involved as intuitionistic fuzzy data. We examine a linear programming problem in which all the coefficients are intuitionistic in nature. An approach is presented to solve an intuitionistic fuzzy linear programming problem. In this proposed approach, a procedure for allocating limited resources effectively among competing demands is developed. An example is given to highlight the illustrated study. A. Nagoorgani, J. Kavikumar, and K. Ponnalagu Copyright © 2015 A. Nagoorgani et al. All rights reserved. Effects Comparison of Different Resilience Enhancing Strategies for Municipal Water Distribution Network: A Multidimensional Approach Mon, 03 Aug 2015 14:22:09 +0000 Water distribution network (WDN) is critical to the city service, economic rehabilitation, public health, and safety. Reconstructing the WDN to improve its resilience in seismic disaster is an important and ongoing issue. Although a considerable body of research has examined the effects of different reconstruction strategies on seismic resistance, it is still hard for decision-makers to choose optimal resilience enhancing strategy. Taking the pipeline ductile retrofitting and network meshed expansion as demonstration, we proposed a feasible framework to contrast the resilience enhancing effects of two reconstruction strategies—units retrofitting strategy and network optimization strategy—in technical and organizational dimension. We also developed a new performance response function (PRF) which is based on network equilibrium theory to conduct the effects comparison in integrated technical and organizational dimension. Through the case study of municipal WDN in Lianyungang, China, the comparison results were thoroughly shown and the holistic decision-making support was provided. Xudong Zhao, Zhilong Chen, and Huadong Gong Copyright © 2015 Xudong Zhao et al. All rights reserved. Validation of Simulation Models without Knowledge of Parameters Using Differential Algebra Mon, 03 Aug 2015 13:25:01 +0000 This study deals with the external validation of simulation models using methods from differential algebra. Without any system identification or iterative numerical methods, this approach provides evidence that the equations of a model can represent measured and simulated sets of data. This is very useful to check if a model is, in general, suitable. In addition, the application of this approach to verification of the similarity between the identifiable parameters of two models with different sets of input and output measurements is demonstrated. We present a discussion on how the method can be used to find parameter deviations between any two models. The advantage of this method is its applicability to nonlinear systems as well as its algorithmic nature, which makes it easy to automate. Björn Haffke, Riccardo Möller, Tobias Melz, and Jens Strackeljan Copyright © 2015 Björn Haffke et al. All rights reserved. Deterministic and Probabilistic Investigation on Multiple Crack Interactions in a Semi-Infinite Domain Mon, 03 Aug 2015 06:08:10 +0000 The investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This study aims to investigate the interactions of multiple parallel cracks in a semi-infinite domain in both deterministic and probabilistic ways by using an automated finite element modeling procedure and the Monte Carlo simulation. The stress intensity factor is considered as an indicator of failure and accurately evaluated by using the domain integral technique. The variation of the stress intensity factor according to the position, the length, and the number of cracks is demonstrated. In a probabilistic investigation, the effects of the number of cracks, the random distribution of the crack lengths, and the crack interactions to the failure probability are studied for a semi-infinite domain. The stress redistribution among multiple cracks, the effect of unevenly distributed crack lengths, and the combined effect of crack length uncertainties and a crack shielding effect have been examined. Eui-Keun Kim, Habeun Choi, Kyoungsoo Park, and Won-Hee Kang Copyright © 2015 Eui-Keun Kim et al. All rights reserved. Determining Replenishment Lot Size and Shipment Policy for an EPQ Inventory Model with Delivery and Rework Sun, 02 Aug 2015 14:05:10 +0000 The determination of production-shipment policies for a vendor-buyer system is dealt within this paper. The main objective is to derive the optimal replenishment lot size and shipment policy for an EPQ inventory model with multiple deliveries and rework. This inventory model contains two decision variables: the replenishment lot size and the number of deliveries. Previous researches solve this inventory model considering both variables to be continuous. However, the number of deliveries must be considered as a discrete variable. In this direction, this paper solves the inventory model considering two cases: Case 1: the replenishment lot size as a continuous variable and the number of shipments as a discrete variable and Case 2: the replenishment lot size and the number of shipments as discrete variables. The final results are two simple and easy-to-apply solution procedures to find the optimal values for the replenishment lot size and the number of deliveries for each case. Leopoldo Eduardo Cárdenas-Barrón, Gerardo Treviño-Garza, Ata Allah Taleizadeh, and Pandian Vasant Copyright © 2015 Leopoldo Eduardo Cárdenas-Barrón et al. All rights reserved. A Study of SUOWA Operators in Two Dimensions Sun, 02 Aug 2015 11:16:28 +0000 SUOWA operators are a new class of aggregation functions that simultaneously generalize weighted means and OWA operators. They are Choquet integral-based operators with respect to normalized capacities; therefore, they possess some interesting properties such as continuity, monotonicity, idempotency, compensativeness, and homogeneity of degree 1. In this paper, we focus on two dimensions and show that any Choquet integral with respect to a normalized capacity can be expressed as a SUOWA operator. Bonifacio Llamazares Copyright © 2015 Bonifacio Llamazares. All rights reserved. A New Biobjective Model to Optimize Integrated Redundancy Allocation and Reliability-Centered Maintenance Problems in a System Using Metaheuristics Sun, 02 Aug 2015 11:11:55 +0000 A novel integrated model is proposed to optimize the redundancy allocation problem (RAP) and the reliability-centered maintenance (RCM) simultaneously. A system of both repairable and nonrepairable components has been considered. In this system, electronic components are nonrepairable while mechanical components are mostly repairable. For nonrepairable components, a redundancy allocation problem is dealt with to determine optimal redundancy strategy and number of redundant components to be implemented in each subsystem. In addition, a maintenance scheduling problem is considered for repairable components in order to identify the best maintenance policy and optimize system reliability. Both active and cold standby redundancy strategies have been taken into account for electronic components. Also, net present value of the secondary cost including operational and maintenance costs has been calculated. The problem is formulated as a biobjective mathematical programming model aiming to reach a tradeoff between system reliability and cost. Three metaheuristic algorithms are employed to solve the proposed model: Nondominated Sorting Genetic Algorithm (NSGA-II), Multiobjective Particle Swarm Optimization (MOPSO), and Multiobjective Firefly Algorithm (MOFA). Several test problems are solved using the mentioned algorithms to test efficiency and effectiveness of the solution approaches and obtained results are analyzed. Shima MohammadZadeh Dogahe and Seyed Jafar Sadjadi Copyright © 2015 Shima MohammadZadeh Dogahe and Seyed Jafar Sadjadi. All rights reserved. Experimentation Using Short-Term Spectral Features for Secure Mobile Internet Voting Authentication Sun, 02 Aug 2015 09:01:10 +0000 We propose a secure mobile Internet voting architecture based on the Sensus reference architecture and report the experiments carried out using short-term spectral features for realizing the voice biometric based authentication module of the architecture being proposed. The short-term spectral features investigated are Mel-Frequency Cepstral Coefficients (MFCCs), Mel-Frequency Discrete Wavelet Coefficients (MFDWC), Linear Predictive Cepstral Coefficients (LPCC), and Spectral Histogram of Oriented Gradients (SHOGs). The MFCC, MFDWC, and LPCC usually have higher dimensions that oftentimes lead to high computational complexity of the pattern matching algorithms in automatic speaker recognition systems. In this study, higher dimensions of each of the short-term features were reduced to an 81-element feature vector per Speaker using Histogram of Oriented Gradients (HOG) algorithm while neural network ensemble was utilized as the pattern matching algorithm. Out of the four short-term spectral features investigated, the LPCC-HOG gave the best statistical results with statistic of 0.9127 and mean square error of 0.0407. These compact LPCC-HOG features are highly promising for implementing the authentication module of the secure mobile Internet voting architecture we are proposing in this paper. Surendra Thakur, Emmanuel Adetiba, Oludayo O. Olugbara, and Richard Millham Copyright © 2015 Surendra Thakur et al. All rights reserved. Robust Object Tracking Based on Simplified Codebook Masked Camshift Algorithm Thu, 30 Jul 2015 14:13:38 +0000 Moving targets detection and tracking is an important and basic issue in the field of intelligent video surveillance. The classical Codebook algorithm is simplified in this paper by introducing the average intensity into the Codebook model instead of the original minimal and maximal intensities. And a hierarchical matching method between the current pixel and codeword is also proposed according to the average intensity in the high and low intensity areas, respectively. Based on the simplified Codebook algorithm, this paper then proposes a robust object tracking algorithm called Simplified Codebook Masked Camshift algorithm (SCMC algorithm), which combines the simplified Codebook algorithm and Camshift algorithm together. It is designed to overcome the sensitiveness of traditional Camshift algorithm to background color interference. It uses simplified Codebook to detect moving objects, whose result is employed to mask color probability distribution image, based on which we then use Camshift to predict the centroid and size of these objects. Experiment results show that the proposed simplified Codebook algorithm simultaneously improves the detection accuracy and computational efficiency. And they also show that the SCMC algorithm can significantly reduce the possibility of false convergence and result in a higher correct tracking rate, as compared with the traditional Camshift algorithm. Yuanyuan Zhang, Xiaomei Zhao, Fengjiao Li, Jiande Sun, Shuming Jiang, and Changying Chen Copyright © 2015 Yuanyuan Zhang et al. All rights reserved. Optimization of Vacuum-Microwave Radiation Pretreatment on Extraction of Ganoderma Polysaccharides Thu, 30 Jul 2015 13:31:33 +0000 A new process of vacuum-microwave (VM) radiation pretreatment for extracting polysaccharides from the Ganoderma lucidum was proposed, and the parameters were optimized by response surface methodology (RSM). The orthogonal-central composite design scheme was used and the responsive surfaces methodology of three factors and five levels was adopted, and the factors influencing the technological parameters and its interaction terms were analyzed and regressed. The optimal parameters were obtained as follows: the infiltration time of 70 min, microwave power density of 11.2 W/g, and VM irradiation time of 180 s. In consequence, the extraction yield was up to 1.775% when VM radiation was conducted in advance. Compared to the traditional hot-water extraction method, VM pretreatment can shorten the extraction time by more than a half, and the polysaccharide extraction yield was increased by 48.1%. It holds significant potential for further investigation, development, and application. C. F. Song, S. G. Wang, J. Yang, Z. W. Cui, and Y. H. Gu Copyright © 2015 C. F. Song et al. All rights reserved. A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications Thu, 30 Jul 2015 11:36:04 +0000 Firstly, this study introduces a definition of generalized stability (GST) in discrete-time nonautonomous chaos system (DNCS), which is an extension for chaos generalized synchronization. Secondly, a constructive theorem of DNCS has been proposed. As an example, a GST DNCS is constructed based on a novel 4-dimensional discrete chaotic map. Numerical simulations show that the dynamic behaviors of this map have chaotic attractor characteristics. As one application, we design a chaotic pseudorandom number generator (CPRNG) based on the GST DNCS. We use the SP800-22 test suite to test the randomness of four 100-key streams consisting of 1,000,000 bits generated by the CPRNG, the RC4 algorithm, the ZUC algorithm, and a 6-dimensional CGS-based CPRNG, respectively. The numerical results show that the randomness performances of the two CPRNGs are promising. In addition, theoretically the key space of the CPRNG is larger than 21116. As another application, this study designs a stream avalanche encryption scheme (SAES) in RGB image encryption. The results show that the GST DNCS is able to generate the avalanche effects which are similar to those generated via ideal CPRNGs. Mei Zhang, Danling Wang, Lequan Min, and Xue Wang Copyright © 2015 Mei Zhang et al. All rights reserved. Patch Similarity Modulus and Difference Curvature Based Fourth-Order Partial Differential Equation for Image Denoising Thu, 30 Jul 2015 08:38:44 +0000 The traditional fourth-order nonlinear diffusion denoising model suffers the isolated speckles and the loss of fine details in the processed image. For this reason, a new fourth-order partial differential equation based on the patch similarity modulus and the difference curvature is proposed for image denoising. First, based on the intensity similarity of neighbor pixels, this paper presents a new edge indicator called patch similarity modulus, which is strongly robust to noise. Furthermore, the difference curvature which can effectively distinguish between edges and noise is incorporated into the denoising algorithm to determine the diffusion process by adaptively adjusting the size of the diffusion coefficient. The experimental results show that the proposed algorithm can not only preserve edges and texture details, but also avoid isolated speckles and staircase effect while filtering out noise. And the proposed algorithm has a better performance for the images with abundant details. Additionally, the subjective visual quality and objective evaluation index of the denoised image obtained by the proposed algorithm are higher than the ones from the related methods. Yunjiao Bai, Quan Zhang, Hong Shangguan, Zhiguo Gui, Yi Liu, and Yanli Liu Copyright © 2015 Yunjiao Bai et al. All rights reserved. Downstream-Conditioned Maximum Entropy Method for Exit Boundary Conditions in the Lattice Boltzmann Method Thu, 30 Jul 2015 06:37:33 +0000 A method for modeling outflow boundary conditions in the lattice Boltzmann method (LBM) based on the maximization of the local entropy is presented. The maximization procedure is constrained by macroscopic values and downstream components. The method is applied to fully developed boundary conditions of the Navier-Stokes equations in rectangular channels. Comparisons are made with other alternative methods. In addition, the new downstream-conditioned entropy is studied and it was found that there is a correlation with the velocity gradient during the flow development. Javier A. Dottori, Gustavo A. Boroni, and Alejandro Clausse Copyright © 2015 Javier A. Dottori et al. All rights reserved. Two General Extension Algorithms of Latin Hypercube Sampling Wed, 29 Jul 2015 14:12:18 +0000 For reserving original sampling points to reduce the simulation runs, two general extension algorithms of Latin Hypercube Sampling (LHS) are proposed. The extension algorithms start with an original LHS of size and construct a new LHS of size that contains the original points as many as possible. In order to get a strict LHS of larger size, some original points might be deleted. The relationship of original sampling points in the new LHS structure is shown by a simple undirected acyclic graph. The basic general extension algorithm is proposed to reserve the most original points, but it costs too much time. Therefore, a general extension algorithm based on greedy algorithm is proposed to reduce the extension time, which cannot guarantee to contain the most original points. These algorithms are illustrated by an example and applied to evaluating the sample means to demonstrate the effectiveness. Zhi-zhao Liu, Wei Li, and Ming Yang Copyright © 2015 Zhi-zhao Liu et al. All rights reserved. Prediction of Protein-Protein Interaction By Metasample-Based Sparse Representation Wed, 29 Jul 2015 11:57:58 +0000 Protein-protein interactions (PPIs) play key roles in many cellular processes such as transcription regulation, cell metabolism, and endocrine function. Understanding these interactions takes a great promotion to the pathogenesis and treatment of various diseases. A large amount of data has been generated by experimental techniques; however, most of these data are usually incomplete or noisy, and the current biological experimental techniques are always very time-consuming and expensive. In this paper, we proposed a novel method (metasample-based sparse representation classification, MSRC) for PPIs prediction. A group of metasamples are extracted from the original training samples and then use the -regularized least square method to express a new testing sample as the linear combination of these metasamples. PPIs prediction is achieved by using a discrimination function defined in the representation coefficients. The MSRC is applied to PPIs dataset; it achieves 84.9% sensitivity, and 94.55% specificity, which is slightly lower than support vector machine (SVM) and much higher than naive Bayes (NB), neural networks (NN), and k-nearest neighbor (KNN). The result shows that the MSRC is efficient for PPIs prediction. Xiuquan Du, Xinrui Li, Hanqian Zhang, and Yanping Zhang Copyright © 2015 Xiuquan Du et al. All rights reserved. New Developments in Sliding Mode Control and Its Applications 2014 Wed, 29 Jul 2015 11:54:10 +0000 Ligang Wu, Rongni Yang, Guanghui Sun, Xudong Zhao, and Peng Shi Copyright © 2015 Ligang Wu et al. All rights reserved. Exact Static Analysis of In-Plane Curved Timoshenko Beams with Strong Nonlinear Boundary Conditions Wed, 29 Jul 2015 11:26:58 +0000 Analytical solutions have been developed for nonlinear boundary problems. In this paper, the shifting function method is applied to develop the static deflection of in-plane curved Timoshenko beams with nonlinear boundary conditions. Three coupled governing differential equations are derived via the Hamilton’s principle. The mathematical modeling of the curved beam system can be decomposed into a complete sixth-order ordinary differential characteristic equation and the associated boundary conditions. It is shown that the proposed method is valid and performs well for problems with strong nonlinearity. Sen-Yung Lee and Qian-Zhi Yan Copyright © 2015 Sen-Yung Lee and Qian-Zhi Yan. All rights reserved. Complexity Uncertainty Analysis of Dynamic in a Dual-Channel Energy Supply Chain Model with Heterogeneous Retailers Wed, 29 Jul 2015 11:26:01 +0000 This paper analyses the dynamics of dual-channel energy supply chain model with heterogeneous retailers (as regards the type of expectations’ formation). On the basis of analyzing the stabilities of four fixed points in the three-dimensional dynamic system, local stable regions of Nash equilibrium are obtained. Effects of S on the stable regions and profit are studied. Simulation results show that the adjustment of price speed has an obvious impact on the complexity of competition. The performances of the model in different period are measured by using the index of average profit. The results show that unstable behavior in economic system is often an unfavorable outcome. So this paper discusses the application of parameters control method when the model is in chaos and then allows the oligarchs to eliminate the negative effects. Ting Li, Junhai Ma, and Lijian Sun Copyright © 2015 Ting Li et al. All rights reserved. Remarks on the Regularity Criterion of the Navier-Stokes Equations with Nonlinear Damping Wed, 29 Jul 2015 11:25:20 +0000 This paper is concerned with the regularity criterion of weak solutions to the three-dimensional Navier-Stokes equations with nonlinear damping in critical weak spaces. It is proved that if the weak solution satisfies ,  , then the weak solution of Navier-Stokes equations with nonlinear damping is regular on Weihua Wang and Guopeng Zhou Copyright © 2015 Weihua Wang and Guopeng Zhou. All rights reserved. Physical Manipulation of Calcium Oscillation in Shen-Larter Cell System Wed, 29 Jul 2015 10:25:06 +0000 Experimental observations show that calcium signals in response to external stimuli encode information via frequency modulation or alternatively via amplitude modulation. Here, by arguments of bifurcation theory and bifurcation control theorem, the amplitude and frequency manipulation of limit cycle in Shen-Larter cell system are investigated. A nonlinear feedback controller is then applied to the system, in order to assign the peak frequency to a prescribed value, such that bifurcation is minimized or eliminated in the closed-loop system. And numerical simulations are presented in order to illustrate the theoretical analysis. Hongkun Zuo Copyright © 2015 Hongkun Zuo. All rights reserved. Recent Advances on the Theory and Applications of Networked Control Systems Wed, 29 Jul 2015 10:24:23 +0000 Yun-Bo Zhao, Xi-Ming Sun, Jinhui Zhang, and Peng Shi Copyright © 2015 Yun-Bo Zhao et al. All rights reserved. Asymptotic Behavior of Weak Solutions to the Generalized Nonlinear Partial Differential Equation Model Wed, 29 Jul 2015 10:01:17 +0000 This paper investigates the asymptotic behavior of weak solutions to the generalized nonlinear partial differential equation model. It is proved that every perturbed weak solution of the perturbed generalized nonlinear partial differential equations asymptotically converges to the solution of the original system under the large perturbation. Min Wu and Yousheng Wu Copyright © 2015 Min Wu and Yousheng Wu. All rights reserved. Adaptive Second Order Sliding Mode Control of a Fuel Cell Hybrid System for Electric Vehicle Applications Wed, 29 Jul 2015 08:11:28 +0000 We present an adaptive-gain second order sliding mode (SOSM) control applied to a hybrid power system for electric vehicle applications. The main advantage of the adaptive SOSM is that it does not require the upper bound of the uncertainty. The proposed hybrid system consists of a polymer electrolyte membrane fuel cell (PEMFC) with a unidirectional DC/DC converter and a Li-ion battery stack with a bidirectional DC/DC converter, where the PEMFC is employed as the primary energy source and the battery is employed as the second energy source. One of the main limitations of the FC is its slow dynamics mainly due to the air-feed system and fuel-delivery system. Fuel starvation phenomenon will occur during fast load demand. Therefore, the second energy source is required to assist the main source to improve system perofrmance. The proposed energy management system contains two cascade control structures, which are used to regulate the fuel cell and battery currents to track the given reference currents and stabilize the DC bus voltage while satisfying the physical limitations. The proposed control strategy is evaluated for two real driving cycles, that is, Urban Dynamometer Driving Schedule (UDDS) and Highway Fuel Economy Driving Schedule (HWFET). Jianxing Liu, Yue Zhao, Bo Geng, and Bing Xiao Copyright © 2015 Jianxing Liu et al. All rights reserved. Subdivision Error Analysis and Compensation for Photoelectric Angle Encoder in a Telescope Control System Wed, 29 Jul 2015 08:02:46 +0000 As the position sensor, photoelectric angle encoder affects the accuracy and stability of telescope control system (TCS). A TCS-based subdivision error compensation method for encoder is proposed. Six types of subdivision error sources are extracted through mathematical expressions of subdivision signals first. Then the period length relationships between subdivision signals and subdivision errors are deduced. And the error compensation algorithm only utilizing the shaft position of TCS is put forward, along with two control models; Model I is that the algorithm applies only to the speed loop of TCS and Model II is applied to both speed loop and position loop. Combined with actual project, elevation jittering phenomenon of the telescope is discussed to decide the necessity of DC-type subdivision error compensation. Low-speed elevation performance before and after error compensation is compared to help decide that Model II is preferred. In contrast to original performance, the maximum position error of the elevation with DC subdivision error compensation is reduced by approximately 47.9% from 1.42″ to 0.74″. The elevation gets a huge decrease in jitters. This method can compensate the encoder subdivision errors effectively and improve the stability of TCS. Yanrui Su, Qiang Wang, Fabao Yan, Xiang Liu, and Yongmei Huang Copyright © 2015 Yanrui Su et al. All rights reserved. Predicting Component Failures Using Latent Dirichlet Allocation Wed, 29 Jul 2015 07:03:33 +0000 Latent Dirichlet Allocation (LDA) is a statistical topic model that has been widely used to abstract semantic information from software source code. Failure refers to an observable error in the program behavior. This work investigates whether semantic information and failures recorded in the history can be used to predict component failures. We use LDA to abstract topics from source code and a new metric (topic failure density) is proposed by mapping failures to these topics. Exploring the basic information of topics from neighboring versions of a system, we obtain a similarity matrix. Multiply the Topic Failure Density (TFD) by the similarity matrix to get the TFD of the next version. The prediction results achieve an average 77.8% agreement with the real failures by considering the top 3 and last 3 components descending ordered by the number of failures. We use the Spearman coefficient to measure the statistical correlation between the actual and estimated failure rate. The validation results range from 0.5342 to 0.8337 which beats the similar method. It suggests that our predictor based on similarity of topics does a fine job of component failure prediction. Hailin Liu, Ling Xu, Mengning Yang, Meng Yan, and Xiaohong Zhang Copyright © 2015 Hailin Liu et al. All rights reserved. Output-Feedback Tracking Control for Networked Control Systems Wed, 29 Jul 2015 06:41:07 +0000 This paper investigates the observer-based tracking problem of networked output-feedback control systems with consideration of data transmission delays, data-packet dropouts, and sampling effects. Different from other approaches, this paper offers a single-step procedure to handle nonconvex terms that appear in the process of designing observer-based output-feedback control, and then establishes a set of linear matrix inequality conditions for the solvability of the tracking problem. Finally, two numerical examples are given to illustrate the effectiveness of our result. Sung Hyun Kim Copyright © 2015 Sung Hyun Kim. All rights reserved. Output Feedback and Single-Phase Sliding Mode Control for Complex Interconnected Systems Wed, 29 Jul 2015 06:20:17 +0000 This paper generalized a new sliding mode control (SMC) without reaching phase to solve two important problems in the stability of complex interconnected systems: (1) a decentralized controller that uses only output variables directly and (2) the stability of complex interconnected systems ensured for all time. A new sliding surface is firstly designed to construct a single-phase SMC in which the desired motion is determined from the initial time instant. A new lemma is secondly established for the controller design using only output variables. The proposed single-phase SMC and the decentralized output feedback controller ensure the robust stability of complex interconnected systems from the beginning to the end. One of the key features of the single phase SMC scheme is that reaching time, which is required in most of the existing two phases of SMC approaches to stabilize the interconnected systems, is removed. Finally, a numerical example is used to demonstrate the efficacy of the method. Yao-Wen Tsai and Van Van Huynh Copyright © 2015 Yao-Wen Tsai and Van Van Huynh. All rights reserved. Hierarchic Analysis Method to Evaluate Rock Burst Risk Tue, 28 Jul 2015 13:16:40 +0000 In order to reasonably evaluate the risk of rock bursts in mines, the factors impacting rock bursts and the existing grading criterion on the risk of rock bursts were studied. By building a model of hierarchic analysis method, the natural factors, technology factors, and management factors that influence rock bursts were analyzed and researched, which determined the degree of each factor’s influence (i.e., weight) and comprehensive index. Then the grade of rock burst risk was assessed. The results showed that the assessment level generated by the model accurately reflected the actual risk degree of rock bursts in mines. The model improved the maneuverability and practicability of existing evaluation criteria and also enhanced the accuracy and science of rock burst risk assessment. Ming Ji, Hong-jun Guo, Yi-dong Zhang, Tao Li, and Lin-sheng Gao Copyright © 2015 Ming Ji et al. All rights reserved. Fundamental Theories and Practice in Service Robotics Tue, 28 Jul 2015 11:59:59 +0000 ShaoPing Bai, DeZhen Song, JiZhong Xiao, Trung Dung Ngo, and YongSheng Ou Copyright © 2015 ShaoPing Bai et al. All rights reserved. A Compensated Numerical Method for Solving Stochastic Differential Equations with Variable Delays and Random Jump Magnitudes Tue, 28 Jul 2015 11:29:15 +0000 Stochastic differential equations with jumps are of a wide application area especially in mathematical finance. In general, it is hard to obtain their analytical solutions and the construction of some numerical solutions with good performance is therefore an important task in practice. In this study, a compensated split-step method is proposed to numerically solve the stochastic differential equations with variable delays and random jump magnitudes. It is proved that the numerical solutions converge to the analytical solutions in mean-square with the approximate rate of 1/2. Furthermore, the mean-square stability of the exact solutions and the numerical solutions are investigated via a linear test equation and the results show that the proposed numerical method shares both the mean-square stability and the so-called A-stability. Ying Du and Changlin Mei Copyright © 2015 Ying Du and Changlin Mei. All rights reserved.