Optimization Theory And Application

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In the late eighteenth century Joseph Louis Lagrange(1736-1831) propounded his elegant and powerful theorem on equality constrained optimization problems. From here optimization theory and its application began to dominate fields such as economics and engineering, as well as other related fields. The topology optimization method solves the basic engineering problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimization of structural topology, shape and material.

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  1. Applications of optimization problems in biology and medicine Nonlocal and impulsive direct systems: Optimization approach Instructions for Submission Authors are encouraged to submit original papers, not published or submitted elsewhere, to a special issue of Journal of Optimization Theory and Applications.
  2. Journal description. Journal of Optimization Theory and Applications is devoted to the publication of carefully selected survey papers contributed papers technical notes and comments and invited.
  3. Optimization Theory with Applications (Dover Books on Mathematics) Donald A. Pierre on Amazon.com.FREE. shipping on qualifying offers. Optimization principles are of undisputed importance in modern design and system operation. They can be used for many purposes: optimal design of systems.

Design optimization is an engineering design methodology using a mathematical formulation of a design problem to support selection of the optimal design among many alternatives. Design optimization involves the following stages:[1]

  1. Variables: Describe the design alternatives
  2. Objective: Elected functional combination of variables (to be maximized or minimized)
  3. Constraints: Combination of Variables expressed as equalities or inequalities that must be satisfied for any acceptable design alternative
  4. Feasibility: Values for set of variables that satisfies all constraints and minimizes/maximizes Objective.
  • 6Further reading

Design optimization problem[edit]

The formal mathematical (standard form) statement of the design optimization problem is [2]

Driver easy pro license key code. minimizef(x)subjecttohi(x)=0,i=1,…,m1gj(x)≤0,j=1,…,m2andx∈X⊆Rn{displaystyle {begin{aligned}&{operatorname {minimize} }&&f(x)&operatorname {subject;to} &&h_{i}(x)=0,quad i=1,dots ,m_{1}&&&g_{j}(x)leq 0,quad j=1,dots ,m_{2}&operatorname {and} &&xin Xsubseteq R^{n}end{aligned}}}

where

  • x{displaystyle x} is a vector of n real-valued design variables x1,x2,...,xn{displaystyle x_{1},x_{2},..,x_{n}}
  • f(x){displaystyle f(x)} is the objective function
  • hi(x){displaystyle h_{i}(x)} are m1{displaystyle m_{1}}equality constraints
  • gj(x){displaystyle g_{j}(x)} are m2{displaystyle m_{2}}inequality constraints
  • X{displaystyle X} is a set constraint that includes additional restrictions on x{displaystyle x} besides those implied by the equality and inequality constraints.

The problem formulation stated above is a convention called the negative null form, since all constraint function are expressed as equalities and negative inequalities with zero on the right-hand side. This convention is used so that numerical algorithms developed to solve design optimization problems can assume a standard expression of the mathematical problem.

We can introduce the vector-valued functions

h=(h1,h2,…,hm1)andg=(g1,g2,…,gm2){displaystyle {begin{aligned}&&&{h=(h_{1},h_{2},dots ,h_{m1})}operatorname {and} &&&{g=(g_{1},g_{2},dots ,g_{m2})}end{aligned}}}

to rewrite the above statement in the compact expression

minimizef(x)subjecttoh(x)=0,g(x)≤0,x∈X⊆Rn{displaystyle {begin{aligned}&{operatorname {minimize} }&&f(x)&operatorname {subject;to} &&h(x)=0,quad g(x)leq 0,quad xin Xsubseteq R^{n}end{aligned}}}

We call h,g{displaystyle h,g} the set or system of (functional) constraints and X{displaystyle X} the set constraint.

Optimization Theory And Applications Rao Pdf

Application[edit]

Design optimization applies the methods of mathematical optimization to design problem formulations and it is sometimes used interchangeably with the term engineering optimization. When the objective function f is a vector rather than a scalar, the problem becomes a multi-objective optimization one. If the design optimization problem has more than one mathematical solutions the methods of global optimization are used to identified the global optimum.

Optimization Checklist[1]

  • Problem Identification
  • Initial Problem Statement
  • Analysis Models
  • Optimal Design Model
  • Model Transformation
  • Local Iterative Techniques
  • Global Verification
  • Final Review

A detailed and rigorous description of the stages and practical applications with examples can be found in the book Principles of Optimal Design.

Practical design optimization problems are typically solved numerically and many optimization software exist in academic and commercial forms.[3] There are several domain-specific applications of design optimization posing their own specific challenges in formulating and solving the resulting problems; these include, shape optimization, wing-shape optimization, topology optimization, architectural design optimization, power optimization. Several books, articles and journal publications are listed below for reference.

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Journal Of Optimization Theory And Applications Pdf

Journals[edit]

See also[edit]

  • Design Decisions Wiki (DDWiki) : Established by the Design Decisions Laboratory at Carnegie Mellon University in 2006 as a central resource for sharing information and tools to analyze and support decision-making

References[edit]

  1. ^ abPapalambros, Panos Y.; Wilde, Douglass J. (2017-01-31). Principles of Optimal Design: Modeling and Computation. Cambridge University Press. ISBN9781316867457.
  2. ^Boyd, Stephen; Boyd, Stephen P.; California), Stephen (Stanford University Boyd; Vandenberghe, Lieven; Angeles), Lieven (University of California Vandenberghe, Los (2004-03-08). Convex Optimization(PDF). Cambridge University Press. ISBN9780521833783.
  3. ^Messac, Achille (2015-03-19). Optimization in Practice with MATLAB®: For Engineering Students and Professionals. Cambridge University Press. ISBN9781316381373.

Further reading[edit]

  • Rutherford., Aris, ([2016], ©1961). The optimal design of chemical reactors : a study in dynamic programming. Saint Louis: Academic Press/Elsevier Science. ISBN9781483221434. OCLC 952932441
  • Jerome., Bracken, ([1968]). Selected applications of nonlinear programming. McCormick, Garth P.,. New York,: Wiley. ISBN0471094404. OCLC 174465
  • L., Fox, Richard ([1971]). Optimization methods for engineering design. Reading, Mass.,: Addison-Wesley Pub. Co. ISBN0201020785. OCLC 150744
  • Johnson, Ray C. Mechanical Design Synthesis With Optimization Applications. New York: Van Nostrand Reinhold Co, 1971.
  • 1905-, Zener, Clarence, ([1971]). Engineering design by geometric programming. New York,: Wiley-Interscience. ISBN0471982008. OCLC 197022
  • H., Mickle, Marlin ([1972]). Optimization in systems engineering. Sze, T. W., 1921-2017,. Scranton,: Intext Educational Publishers. ISBN0700224076. OCLC 340906.
  • Optimization and design; [papers]. Avriel, M., Rijckaert, M. J., Wilde, Douglass J., NATO Science Committee., Katholieke Universiteit te Leuven (1970- ). Englewood Cliffs, N.J.,: Prentice-Hall. [1973]. ISBN0136380158. OCLC 618414.
  • J., Wilde, Douglass (1978). Globally optimal design. New York: Wiley. ISBN0471038989. OCLC 3707693.
  • J., Haug, Edward (1979). Applied optimal design : mechanical and structural systems. Arora, Jasbir S.,. New York: Wiley. ISBN047104170X. OCLC 4775674.
  • Uri., Kirsch, (1981). Optimum structural design : concepts, methods, and applications. New York: McGraw-Hill. ISBN0070348448. OCLC 6735289.
  • Uri., Kirsch, (1993). Structural optimization : fundamentals and applications. Berlin: Springer-Verlag. ISBN3540559191. OCLC 27676129.
  • Structural optimization : recent developments and applications. Lev, Ovadia E., American Society of Civil Engineers. Structural Division., American Society of Civil Engineers. Structural Division. Committee on Electronic Computation. Committee on Optimization. New York, N.Y.: ASCE. 1981. ISBN0872622819. OCLC 8182361.
  • Foundations of structural optimization : a unified approach. Morris, A. J. Chichester [West Sussex]: Wiley. 1982. ISBN0471102008. OCLC 8031383.
  • N., Siddall, James (1982). Optimal engineering design : principles and applications. New York: M. Dekker. ISBN0824716337. OCLC 8389250.
  • 1944-, Ravindran, A., (2006). Engineering optimization : methods and applications. Reklaitis, G. V., 1942-, Ragsdell, K. M. (2nd ed.). Hoboken, N.J.: John Wiley & Sons. ISBN0471558141. OCLC 61463772.
  • N., Vanderplaats, Garret (1984). Numerical optimization techniques for engineering design : with applications. New York: McGraw-Hill. ISBN0070669643. OCLC 9785595.
  • T., Haftka, Raphael (1990). Elements of Structural Optimization. Gürdal, Zafer., Kamat, Manohar P. (Second rev. edition ed.). Dordrecht: Springer Netherlands. ISBN9789401578622. OCLC 851381183.
  • S., Arora, Jasbir (2011). Introduction to optimum design (3rd ed.). Boston, MA: Academic Press. ISBN9780123813756. OCLC 760173076.
  • S., Janna, William. Design of fluid thermal systems (SI edition ; fourth edition ed.). Stamford, Connecticut. ISBN9781285859651. OCLC 881509017.
  • Structural optimization : status and promise. Kamat, Manohar P. Washington, DC: American Institute of Aeronautics and Astronautics. 1993. ISBN156347056X. OCLC 27918651.
  • Mathematical programming for industrial engineers. Avriel, M., Golany, B. New York: Marcel Dekker. 1996. ISBN0824796209. OCLC 34474279.
  • Hans., Eschenauer, (1997). Applied structural mechanics : fundamentals of elasticity, load-bearing structures, structural optimization : including exercises. Olhoff, Niels., Schnell, W. Berlin: Springer. ISBN3540612327. OCLC 35184040.
  • 1956-, Belegundu, Ashok D., (2011). Optimization concepts and applications in engineering. Chandrupatla, Tirupathi R., 1944- (2nd ed.). New York: Cambridge University Press. ISBN9781139037808. OCLC 746750296.
  • Okechi., Onwubiko, Chinyere (2000). Introduction to engineering design optimization. Upper Saddle River, NJ: Prentice-Hall. ISBN0201476738. OCLC 41368373.
  • Optimization in action : proceedings of the Conference on Optimization in Action held at the University of Bristol in January 1975. Dixon, L. C. W. (Laurence Charles Ward), 1935-, Institute of Mathematics and Its Applications. London: Academic Press. 1976. ISBN0122185501. OCLC 2715969.
  • P., Williams, H. (2013). Model building in mathematical programming (5th ed.). Chichester, West Sussex: Wiley. ISBN9781118506189. OCLC 810039791.
  • Integrated design of multiscale, multifunctional materials and products. McDowell, David L., 1956-. Oxford: Butterworth-Heinemann. 2010. ISBN9781856176620. OCLC 610001448.
  • M., Dede, Ercan. Multiphysics simulation : electromechanical system applications and optimization. Lee, Jaewook, Nomura, Tsuyoshi,. London. ISBN9781447156406. OCLC 881071474.
  • 1962-, Liu, G. P. (Guo Ping), (2001). Multiobjective optimisation and control. Yang, Jian-Bo, 1961-, Whidborne, J. F. (James Ferris), 1960-. Baldock, Hertfordshire: Research Studies Press. ISBN0585491941. OCLC 54380075.

Structural Topology Optimization[edit]

  • 'Generating optimal topologies in structural design using a homogenization method'. Computer Methods in Applied Mechanics and Engineering. 71 (2): 197–224. 1988-11-01. doi:10.1016/0045-7825(88)90086-2. ISSN 0045-7825.
  • Bendsøe, Martin P (1995). Optimization of structural topology, shape, and material. Berlin; New York: Springer. ISBN3540590579.
  • Behrooz., Hassani, (1999). Homogenization and Structural Topology Optimization : Theory, Practice and Software. Hinton, E. (Ernest). London: Springer London. ISBN9781447108917. OCLC 853262659.
  • P., Bendsøe, Martin (2003). Topology optimization : theory, methods, and applications. Sigmund, O. (Ole), 1966-. Berlin: Springer. ISBN3540429921. OCLC 50448149.
  • Topology optimization in structural and continuum mechanics. Rozvany, G. I. N., Lewiński, T.,. Wien. ISBN9783709116432. OCLC 859524179.
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Optimization Theory, Methods, and Applications in Engineering

“Optimization Theory, Methods, and Applications in Engineering” is an annual special issue published in “Mathematical Problems in Engineering.” The current issue is the 2014 issue, which is now closed for submissions.

Optimization Theory, Methods, and Applications in Engineering 2014

Guest Editors: Jung-Fa Tsai, John Gunnar Carlsson, Dongdong Ge, Yi-Chung Hu, and Jianming Shi
  • Optimization Theory, Methods, and Applications in Engineering 2014, Jung-Fa Tsai, John Gunnar Carlsson, Dongdong Ge, Yi-Chung Hu, and Jianming Shi
    Editorial (3 pages), Article ID 345858, Volume 2015 (2015)
  • Metaheuristic Approaches for Solving Truck and Trailer Routing Problems with Stochastic Demands: A Case Study in Dairy Industry, Seyedmehdi Mirmohammadsadeghi and Shamsuddin Ahmed
    Research Article (14 pages), Article ID 494019, Volume 2015 (2015)
  • Energy-Saving Generation Dispatch Using Minimum Cost Flow, Zhan’an Zhang and Xingguo Cai
    Research Article (9 pages), Article ID 562462, Volume 2015 (2015)
  • A Variable Depth Search Algorithm for Binary Constraint Satisfaction Problems, N. Bouhmala
    Research Article (10 pages), Article ID 637809, Volume 2015 (2015)
  • Moving Clusters within a Memetic Algorithm for Graph Partitioning, Inwook Hwang, Yong-Hyuk Kim, and Yourim Yoon
    Research Article (10 pages), Article ID 238529, Volume 2015 (2015)
  • A Real-Time Pothole Detection Approach for Intelligent Transportation System, Hsiu-Wen Wang, Chi-Hua Chen, Ding-Yuan Cheng, Chun-Hao Lin, and Chi-Chun Lo
    Research Article (7 pages), Article ID 869627, Volume 2015 (2015)
  • Equilibrium Customer Strategies in the Queue with Threshold Policy and Setup Times, Peishu Chen, Wenhui Zhou, and Yongwu Zhou
    Research Article (11 pages), Article ID 361901, Volume 2015 (2015)
  • Minimum Time Approach to Emergency Collision Avoidance by Vehicle Handling Inverse Dynamics, Wang Wei, Bei Shaoyi, Yang Hui, Wang Yongzhi, and Zhang Lanchun
    Research Article (9 pages), Article ID 276460, Volume 2015 (2015)
  • Configuration, Deployment, and Scheduling Models for Management and Optimization of Patrol Services, Bin Yang, Zhi-Hua Hu, and Jing-Xian Zhou
    Research Article (13 pages), Article ID 738578, Volume 2015 (2015)
  • Parallel Control to Fragments of a Cylindrical Structure Driven by Explosive inside, Wenkai Chen, Xiangyu Li, Fangyun Lu, Zhenduo Li, and Zhenyu Zhang
    Research Article (13 pages), Article ID 723463, Volume 2015 (2015)
  • An Ant Optimization Model for Unrelated Parallel Machine Scheduling with Energy Consumption and Total Tardiness, Peng Liang, Hai-dong Yang, Guo-sheng Liu, and Jian-hua Guo
    Research Article (8 pages), Article ID 907034, Volume 2015 (2015)
  • An Effective Hybrid of Bees Algorithm and Differential Evolution Algorithm in Data Clustering, Mohammad Babrdel Bonab, Siti Zaiton Mohd Hashim, Nor Erne Nazira Bazin, and Ahmed Khalaf Zager Alsaedi
    Research Article (17 pages), Article ID 240419, Volume 2015 (2015)
  • Multiple Sparse Measurement Gradient Reconstruction Algorithm for DOA Estimation in Compressed Sensing, Weijian Si, Xinggen Qu, Yilin Jiang, and Tao Chen
    Research Article (6 pages), Article ID 152570, Volume 2015 (2015)
  • A Robust Optimization of Capacity Allocation Policies in the Third-Party Warehouse, Xu Xian-hao, Dong Wei-hong, and Peng Hongxia
    Research Article (10 pages), Article ID 810798, Volume 2015 (2015)
  • To Make Good Decision: A Group DSS for Multiple Criteria Alternative Rank and Selection, Chen-Shu Wang, Heng-Li Yang, and Shiang-Lin Lin
    Research Article (15 pages), Article ID 186970, Volume 2015 (2015)
  • A Risk-Averse Inventory Model with Markovian Purchasing Costs, Sungyong Choi and Kyungbae Park
    Research Article (9 pages), Article ID 925765, Volume 2015 (2015)
  • Maintaining Track Continuity for Extended Targets Using Gaussian-Mixture Probability Hypothesis Density Filter, Yulan Han, Hongyan Zhu, and ChongZhao Han
    Research Article (16 pages), Article ID 501915, Volume 2015 (2015)
  • Robust Control of the Knee Joint Angle of Paraplegic Patients considering Norm-Bounded Uncertainties, Nilson Moutinho dos Santos, Ruberlei Gaino, Márcio Roberto Covacic, Marcelo Carvalho Minhoto Teixeira, Aparecido Augusto de Carvalho, Edvaldo Assunção, Rodrigo Cardim, and Marcelo Augusto Assunção Sanches
    Research Article (8 pages), Article ID 736246, Volume 2015 (2015)

Optimization Theory, Methods, and Applications in Engineering 2013

Guest Editors: Jung-Fa Tsai, John Gunnar Carlsson, Dongdong Ge, Yi-Chung Hu, and Jianming Shi
  • The Optimal Sampling Period of a Fingerprint Positioning Algorithm for Vehicle Speed Estimation, Ding-Yuan Cheng, Chi-Hua Chen, Chia-Hung Hsiang, Chi-Chun Lo, Hui-Fei Lin, and Bon-Yeh Lin
    Research Article (12 pages), Article ID 306783, Volume 2013 (2013)
  • A Slicing Tree Representation and QCP-Model-Based Heuristic Algorithm for the Unequal-Area Block Facility Layout Problem, Mei-Shiang Chang and Ting-Chen Ku
    Research Article (19 pages), Article ID 853586, Volume 2013 (2013)
  • An Improved Self-Adaptive PSO Algorithm with Detection Function for Multimodal Function Optimization Problems, YingChao Zhang, Xiong Xiong, and QiDong Zhang
    Research Article (8 pages), Article ID 716952, Volume 2013 (2013)
  • The Tractor and Semitrailer Routing Considering Carbon Dioxide Emissions, Hongqi Li, Yanran Li, Qiuhong Zhao, Yue Lu, and Qiang Song
    Research Article (12 pages), Article ID 509160, Volume 2013 (2013)
  • A New Improved Quantum Evolution Algorithm with Local Search Procedure for Capacitated Vehicle Routing Problem, Ligang Cui, Lin Wang, Jie Deng, and Jinlong Zhang
    Research Article (17 pages), Article ID 159495, Volume 2013 (2013)
  • An Efficient Approximate Algorithm for Disjoint QoS Routing, Zhanke Yu, Feng Ma, Jingxia Liu, Bingxin Hu, and Zhaodong Zhang
    Research Article (9 pages), Article ID 489149, Volume 2013 (2013)
  • Price and Delivery Time Analyzing in Competition between an Electronic and a Traditional Supply Chain, M. Narenji, Mohammad Fathian, Ebrahim Teimoury, and Seyed Gholamreze Jalali Naini
    Research Article (12 pages), Article ID 596897, Volume 2013 (2013)
  • A Robust Optimization Approach to Emergency Vehicle Scheduling, Xiao-Xia Rong, Yi Lu, Rui-Rui Yin, and Jiang-Hua Zhang
    Research Article (8 pages), Article ID 848312, Volume 2013 (2013)
  • A New Model for the Regulation Width of Waterway Based on Hydraulic Geometry Relation, Ni Zhi-hui, Wu Li-chun, Zhang Xu-jin, Zeng Qiang, Wang Ming-hui, and Yi Jing
    Research Article (8 pages), Article ID 182656, Volume 2013 (2013)
  • Coordination Scheme for Restructuring Business Operation of the Single Period Newsvendor Problem, Chiuh-Cheng Chyu and I-Ping Huang
    Research Article (11 pages), Article ID 308187, Volume 2013 (2013)
  • Determining the Optimum Ordering Policy in Multi-Item Joint Replenishment Problem Using a Novel Method, Wen-Tsung Ho
    Research Article (9 pages), Article ID 469794, Volume 2013 (2013)
  • Applying Artificial Neural Network to Predict Semiconductor Machine Outliers, Keng-Chieh Yang, Conna Yang, Pei-Yao Chao, and Po-Hong Shih
    Research Article (10 pages), Article ID 210740, Volume 2013 (2013)
  • Optimal Ordering Policy of a Risk-Averse Retailer Subject to Inventory Inaccuracy, Lijing Zhu, Ki-Sung Hong, and Chulung Lee
    Research Article (8 pages), Article ID 951017, Volume 2013 (2013)
  • Tightness of Semidefinite Programming Relaxation to Robust Transmit Beamforming with SINR Constraints, Yanjun Wang and Ruizhi Shi
    Research Article (10 pages), Article ID 508014, Volume 2013 (2013)
  • An Inventory Model for Perishable Products with Stock-Dependent Demand and Trade Credit under Inflation, Shuai Yang, Chulung Lee, and Anming Zhang
    Research Article (8 pages), Article ID 702939, Volume 2013 (2013)
  • A Collaborative Optimization Model for Ground Taxi Based on Aircraft Priority, Yu Jiang, Zhihua Liao, and Honghai Zhang
    Research Article (9 pages), Article ID 854364, Volume 2013 (2013)
  • Enterprise Information Security Management Based on Context-Aware RBAC and Communication Monitoring Technology, Mei-Yu Wu and Ming-Hsien Yu
    Research Article (11 pages), Article ID 569562, Volume 2013 (2013)
  • Analysis of Positioning Error for Two-Dimensional Location System, Yi Jiang, Qing Hu, and Dongkai Yang
    Research Article (8 pages), Article ID 163958, Volume 2013 (2013)
  • Building a Smart E-Portfolio Platform for Optimal E-Learning Objects Acquisition, Chih-Kun Ke, Kai-Ping Liu, and Wen-Chin Chen
    Research Article (8 pages), Article ID 896027, Volume 2013 (2013)
  • A Branch and Bound Reduced Algorithm for Quadratic Programming Problems with Quadratic Constraints, Yuelin Gao, Feifei Li, and Siqiao Jin
    Research Article (6 pages), Article ID 594693, Volume 2013 (2013)
  • 2D Dubins Path in Environments with Obstacle, Dongxiao Yang, Didong Li, and Huafei Sun
    Research Article (6 pages), Article ID 291372, Volume 2013 (2013)
  • A Comparative Analysis of Nature-Inspired Optimization Approaches to 2D Geometric Modelling for Turbomachinery Applications, Amir Safari, Hirpa G. Lemu, Soheil Jafari, and Mohsen Assadi
    Research Article (15 pages), Article ID 716237, Volume 2013 (2013)
  • Design Optimization of a Speed Reducer Using Deterministic Techniques, Ming-Hua Lin, Jung-Fa Tsai, Nian-Ze Hu, and Shu-Chuan Chang
    Research Article (7 pages), Article ID 419043, Volume 2013 (2013)
  • A Review of Piecewise Linearization Methods, Ming-Hua Lin, John Gunnar Carlsson, Dongdong Ge, Jianming Shi, and Jung-Fa Tsai
    Review Article (8 pages), Article ID 101376, Volume 2013 (2013)
  • A Novel Nonadditive Collaborative-Filtering Approach Using Multicriteria Ratings, Yi-Chung Hu
    Research Article (10 pages), Article ID 957184, Volume 2013 (2013)
  • Forecasting Electrical Energy Consumption of Equipment Maintenance Using Neural Network and Particle Swarm Optimization, Xunlin Jiang, Haifeng Ling, Jun Yan, Bo Li, and Zhao Li
    Research Article (8 pages), Article ID 194730, Volume 2013 (2013)
  • Classification of Hospital Web Security Efficiency Using Data Envelopment Analysis and Support Vector Machine, Han-Ying Kao, Tao-Ku Chang, and Yi-Cheng Chang
    Research Article (8 pages), Article ID 542314, Volume 2013 (2013)
  • Calculation Formula Optimization and Effect of Ring Clearance on Axial Force of Multistage Pump, Chuan Wang, Weidong Shi, and Li Zhang
    Research Article (7 pages), Article ID 749375, Volume 2013 (2013)
  • An Analytical Framework of a Deployment Strategy for Cloud Computing Services: A Case Study of Academic Websites, Chi-Hua Chen, Hui-Fei Lin, Hsu-Chia Chang, Ping-Hsien Ho, and Chi-Chun Lo
    Research Article (14 pages), Article ID 384305, Volume 2013 (2013)
  • Optimization Theory, Methods, and Applications in Engineering 2013, Jung-Fa Tsai, John Gunnar Carlsson, Dongdong Ge, Yi-Chung Hu, and Jianming Shi
    Editorial (5 pages), Article ID 319418, Volume 2014 (2014)
  • Path-Wise Test Data Generation Based on Heuristic Look-Ahead Methods, Ying Xing, Yun-Zhan Gong, Ya-Wen Wang, and Xu-Zhou Zhang
    Research Article (19 pages), Article ID 642630, Volume 2014 (2014)
  • A Hybrid Multiple Criteria Decision Making Model for Supplier Selection, Chung-Min Wu, Ching-Lin Hsieh, and Kuei-Lun Chang
    Research Article (8 pages), Article ID 324283, Volume 2013 (2013)
  • Engineering Design by Geometric Programming, Chia-Hui Huang
    Research Article (8 pages), Article ID 568098, Volume 2013 (2013)
  • The Reputation Evaluation Based on Optimized Hidden Markov Model in E-Commerce, Liu Chang, Yacine Ouzrout, Antoine Nongaillard, Abdelaziz Bouras, and Zhou Jiliu
    Research Article (11 pages), Article ID 391720, Volume 2013 (2013)
  • Ant Colony Optimization for Social Utility Maximization in a Multiuser Communication System, Ming-Hua Lin, Jung-Fa Tsai, and Lu-Yao Lee
    Research Article (8 pages), Article ID 798631, Volume 2013 (2013)
  • An Improved Quantum-Inspired Genetic Algorithm for Image Multilevel Thresholding Segmentation, Jian Zhang, Huanzhou Li, Zhangguo Tang, Qiuping Lu, Xiuqing Zheng, and Jiliu Zhou
    Research Article (12 pages), Article ID 295402, Volume 2014 (2014)
  • A Multi-Criterion Analysis of Cross-Strait Co-Opetitive Strategy in the Crystalline Silicon Solar Cell Industry, Hsiao-Chi Chen and Chia-Han Yang
    Research Article (11 pages), Article ID 687942, Volume 2014 (2014)
  • Bargaining in Patent Licensing Negotiations under Stochastic Environments: An Experimental Study, Yi-Nung Yang and Yu-Jing Chiu
    Research Article (7 pages), Article ID 976450, Volume 2014 (2014)
  • Solving the Bilevel Facility Location Problem under Preferences by a Stackelberg-Evolutionary Algorithm, José-Fernando Camacho-Vallejo, Álvaro Eduardo Cordero-Franco, and Rosa G. González-Ramírez
    Research Article (14 pages), Article ID 430243, Volume 2014 (2014)
  • On the Transformation Mechanism for Formulating a Multiproduct Two-Layer Supply Chain Network Design Problem as a Network Flow Model, Mi Gan, Zongping Li, and Si Chen
    Research Article (13 pages), Article ID 480127, Volume 2014 (2014)
  • Mediating Dynamic Supply Chain Formation by Collaborative Single Machine Earliness/Tardiness Agents in Supply Mesh, Hang Yang, Simon Fong, and Yan Zhuang
    Research Article (21 pages), Article ID 535890, Volume 2014 (2014)
  • A Fairness-Based Access Control Scheme to Optimize IPTV Fast Channel Changing, Junyu Lai, James C. F. Li, Alireza Abdollahpouri, Jianhua Zhang, and Ming Lei
    Research Article (12 pages), Article ID 207402, Volume 2014 (2014)
  • Measuring the Productivity of Energy Consumption of Major Industries in China: A DEA-Based Method, Xishuang Han, Xiaolong Xue, Jiaoju Ge, Hengqin Wu, and Chang Su
    Research Article (12 pages), Article ID 121804, Volume 2014 (2014)
  • Sensitivity Analysis of the Proximal-Based Parallel Decomposition Methods, Feng Ma, Mingfang Ni, Lei Zhu, and Zhanke Yu
    Research Article (9 pages), Article ID 891017, Volume 2014 (2014)
  • Stochastic Separated Continuous Conic Programming: Strong Duality and a Solution Method, Xiaoqing Wang
    Research Article (20 pages), Article ID 896591, Volume 2014 (2014)
  • Heuristics for Synthesizing Robust Networks with a Diameter Constraint, Harsha Nagarajan, Peng Wei, Sivakumar Rathinam, and Dengfeng Sun
    Research Article (11 pages), Article ID 326963, Volume 2014 (2014)

Optimization Algorithms And Applications

Optimization Theory, Methods, and Applications in Engineering 2012

Optimization Methods Theory And Applications

Guest Editors: Jung-Fa Tsai, John Gunnar Carlsson, Dongdong Ge, Yi-Chung Hu, and Jianming Shi

Optimization Theory And Methods

  • Optimization Theory, Methods, and Applications in Engineering, Jung-Fa Tsai, John Gunnar Carlsson, Dongdong Ge, Yi-Chung Hu, and Jianming Shi
    Editorial (7 pages), Article ID 759548, Volume 2012 (2012)
  • A Stone Resource Assignment Model under the Fuzzy Environment, Liming Yao, Jiuping Xu, and Feng Guo
    Research Article (26 pages), Article ID 265837, Volume 2012 (2012)
  • Dynamic Programming and Heuristic for Stochastic Uncapacitated Lot-Sizing Problems with Incremental Quantity Discount, Yuli Zhang, Shiji Song, Cheng Wu, and Wenjun Yin
    Research Article (21 pages), Article ID 582323, Volume 2012 (2012)
  • Sparse Signal Recovery via ECME Thresholding Pursuits, Heping Song and Guoli Wang
    Research Article (22 pages), Article ID 478931, Volume 2012 (2012)
  • Variable Neighborhood Search for Parallel Machines Scheduling Problem with Step Deteriorating Jobs, Wenming Cheng, Peng Guo, Zeqiang Zhang, Ming Zeng, and Jian Liang
    Research Article (20 pages), Article ID 928312, Volume 2012 (2012)
  • Global Sufficient Optimality Conditions for a Special Cubic Minimization Problem, Xiaomei Zhang, Yanjun Wang, and Weimin Ma
    Research Article (16 pages), Article ID 871741, Volume 2012 (2012)
  • A Two-Stage DEA to Analyze the Effect of Entrance Deregulation on Iranian Insurers: A Robust Approach, Seyed Gholamreza Jalali Naini and Hamid Reza Nouralizadeh
    Research Article (24 pages), Article ID 423524, Volume 2012 (2012)
  • Solving Constrained Global Optimization Problems by Using Hybrid Evolutionary Computing and Artificial Life Approaches, Jui-Yu Wu
    Research Article (36 pages), Article ID 841410, Volume 2012 (2012)
  • A Hybrid Algorithm Based on ACO and PSO for Capacitated Vehicle Routing Problems, Yucheng Kao, Ming-Hsien Chen, and Yi-Ting Huang
    Research Article (17 pages), Article ID 726564, Volume 2012 (2012)
  • New Bounds for Ternary Covering Arrays Using a Parallel Simulated Annealing, Himer Avila-George, Jose Torres-Jimenez, and Vicente Hernández
    Research Article (19 pages), Article ID 897027, Volume 2012 (2012)
  • A VNS Metaheuristic with Stochastic Steps for Max 3-Cut and Max 3-Section, Ai-fan Ling
    Research Article (16 pages), Article ID 475018, Volume 2012 (2012)
  • Opposition-Based Barebones Particle Swarm for Constrained Nonlinear Optimization Problems, Hui Wang
    Research Article (12 pages), Article ID 761708, Volume 2012 (2012)
  • A New Hybrid Nelder-Mead Particle Swarm Optimization for Coordination Optimization of Directional Overcurrent Relays, An Liu and Ming-Ta Yang
    Research Article (18 pages), Article ID 456047, Volume 2012 (2012)
  • Evaluating the Performance of Taiwan Homestay Using Analytic Network Process, Yi-Chung Hu, Jen-Hung Wang, and Ru-Yu Wang
    Research Article (24 pages), Article ID 827193, Volume 2012 (2012)
  • Mixed Mortar Element Method for Element and Its Multigrid Method for the Incompressible Stokes Problem, Yaqin Jiang and Jinru Chen
    Research Article (18 pages), Article ID 979307, Volume 2012 (2012)
  • Applying Neural Networks to Prices Prediction of Crude Oil Futures, John Wei-Shan Hu, Yi-Chung Hu, and Ricky Ray-Wen Lin
    Research Article (12 pages), Article ID 959040, Volume 2012 (2012)
  • A Novel Method for Technology Forecasting and Developing R&D Strategy of Building Integrated Photovoltaic Technology Industry, Yu-Jing Chiu and Tao-Ming Ying
    Research Article (24 pages), Article ID 273530, Volume 2012 (2012)
  • Solving the Tractor and Semi-Trailer Routing Problem Based on a Heuristic Approach, Hongqi Li, Yue Lu, Jun Zhang, and Tianyi Wang
    Research Article (12 pages), Article ID 182584, Volume 2012 (2012)
  • Combining Diffusion and Grey Models Based on Evolutionary Optimization Algorithms to Forecast Motherboard Shipments, Fu-Kwun Wang, Yu-Yao Hsiao, and Ku-Kuang Chang
    Research Article (10 pages), Article ID 849634, Volume 2012 (2012)
  • Adaptive Method for Solving Optimal Control Problem with State and Control Variables, Louadj Kahina and Aidene Mohamed
    Research Article (15 pages), Article ID 209329, Volume 2012 (2012)
  • A Hybrid Network Model to Extract Key Criteria and Its Application for Brand Equity Evaluation, Chin-Yi Chen and Chung-Wei Li
    Research Article (14 pages), Article ID 971303, Volume 2012 (2012)
  • Solving Packing Problems by a Distributed Global Optimization Algorithm, Nian-Ze Hu, Han-Lin Li, and Jung-Fa Tsai
    Research Article (13 pages), Article ID 931092, Volume 2012 (2012)
  • Hybrid Optimization Approach for the Design of Mechanisms Using a New Error Estimator, A. Sedano, R. Sancibrian, A. de Juan, F. Viadero, and F. Egaña
    Research Article (20 pages), Article ID 151590, Volume 2012 (2012)
  • Goal-Programming-Driven Genetic Algorithm Model for Wireless Access Point Deployment Optimization, Chen-Shu Wang and Ching-Ter Chang
    Research Article (14 pages), Article ID 780637, Volume 2012 (2012)
  • Multithreshold Segmentation Based on Artificial Immune Systems, Erik Cuevas, Valentin Osuna-Enciso, Daniel Zaldivar, Marco Pérez-Cisneros, and Humberto Sossa
    Research Article (20 pages), Article ID 874761, Volume 2012 (2012)
  • Quality Improvement and Robust Design Methods to a Pharmaceutical Research and Development, Byung Rae Cho and Sangmun Shin
    Research Article (14 pages), Article ID 193246, Volume 2012 (2012)
  • A Label Correcting Algorithm for Partial Disassembly Sequences in the Production Planning for End-of-Life Products, Pei-Fang (Jennifer) Tsai
    Research Article (13 pages), Article ID 569429, Volume 2012 (2012)
  • Improved Degree Search Algorithms in Unstructured P2P Networks, Guole Liu, Haipeng Peng, Lixiang Li, Yixian Yang, and Qun Luo
    Research Article (18 pages), Article ID 923023, Volume 2012 (2012)
  • The Number of Students Needed for Undecided Programs at a College from the Supply-Chain Viewpoint, Jin-Ling Lin, Jy-Hsin Lin, and Kao-Shing Hwang
    Research Article (12 pages), Article ID 276519, Volume 2012 (2012)
  • A Review of Deterministic Optimization Methods in Engineering and Management, Ming-Hua Lin, Jung-Fa Tsai, and Chian-Son Yu
    Review Article (15 pages), Article ID 756023, Volume 2012 (2012)
  • A Hybrid Genetic Algorithm for the Multiple Crossdocks Problem, Zhaowei Miao, Ke Fu, and Feng Yang
    Research Article (18 pages), Article ID 316908, Volume 2012 (2012)
  • A Nonlinear Multiobjective Bilevel Model for Minimum Cost Network Flow Problem in a Large-Scale Construction Project, Jiuping Xu, Yan Tu, and Ziqiang Zeng
    Research Article (40 pages), Article ID 463976, Volume 2012 (2012)
  • A Selection Approach for Optimized Problem-Solving Process by Grey Relational Utility Model and Multicriteria Decision Analysis, Chih-Kun Ke and Mei-Yu Wu
    Research Article (14 pages), Article ID 293137, Volume 2012 (2012)
  • Predictor-Corrector Primal-Dual Interior Point Method for Solving Economic Dispatch Problems: A Postoptimization Analysis, Antonio Roberto Balbo, Márcio Augusto da Silva Souza, Edméa Cássia Baptista, and Leonardo Nepomuceno
    Research Article (26 pages), Article ID 376546, Volume 2012 (2012)
  • Applying Hierarchical Bayesian Neural Network in Failure Time Prediction, Ling-Jing Kao and Hsin-Fen Chen
    Research Article (11 pages), Article ID 953848, Volume 2012 (2012)
  • A Fuzzy Dropper for Proportional Loss Rate Differentiation under Wireless Network with a Multi-State Channel, Yu-Chin Szu
    Research Article (16 pages), Article ID 827137, Volume 2012 (2012)
  • A Cost-Effective Planning Graph Approach for Large-Scale Web Service Composition, Szu-Yin Lin, Guan-Ting Lin, Kuo-Ming Chao, and Chi-Chun Lo
    Research Article (21 pages), Article ID 783476, Volume 2012 (2012)
  • An Optimal Classification Method for Biological and Medical Data, Yao-Huei Huang, Yu-Chien Ko, and Hao-Chun Lu
    Research Article (17 pages), Article ID 398232, Volume 2012 (2012)
  • A Modified PSO Algorithm for Minimizing the Total Costs of Resources in MRCPSP, Mohammad Khalilzadeh, Fereydoon Kianfar, Ali Shirzadeh Chaleshtari, Shahram Shadrokh, and Mohammad Ranjbar
    Research Article (18 pages), Article ID 365697, Volume 2012 (2012)
  • Comment on “Highly Efficient Sigma Point Filter for Spacecraft Attitude and Rate Estimation”, Baiqing Hu, Lubin Chang, An Li, and Fangjun Qin
    Letter to the Editor (5 pages), Article ID 170391, Volume 2012 (2012)
  • A Filter Algorithm with Inexact Line Search, Meiling Liu, Xueqian Li, and Qinmin Wu
    Research Article (20 pages), Article ID 349178, Volume 2012 (2012)
  • Optimal Incentive Pricing on Relaying Services for Maximizing Connection Availability in Multihop Cellular Networks, Ming-Hua Lin and Hao-Jan Hsu
    Research Article (17 pages), Article ID 324245, Volume 2012 (2012)