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0102 Applied Mathematics

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Add  A comparison of bidding strategies for online auctions using fuzzy reasoning and negotiation decision functions
Authors: Kaur, Preetinder | Goyal, Madhu | Lu, Jie
Date: 2017
Subject: 0102 Applied Mathematics | 0801 Artificial Intelligence and Image Processing | 0906 Electrical and Electronic Engineering | E-commerce | Fuzzy reasoning | Multiple linear regression | Negotiation decision functions (NDFs) | Online auctions | Software agents
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159259
Description: Bidders often feel challenged when looking for the best bidding strategies to excel in the competitive environment of multiple and simultaneous online auctions for same or similar items. Bidders face ... More
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Add  A proximal bundle method for nonsmooth DC optimization utilizing nonconvex cutting planes
Authors: Joki, Kaisa | Bagirov, Adil | Karmitsa, Napsu | Makela, Marko
Date: 2017
Subject: 0102 Applied Mathematics | 0103 Numerical and Computational Mathematics | 0802 Computation Theory and Mathematics | Nonsmooth optimization | Nonconvex optimization | Proximal bundle methods | DC functions | Cutting plane model
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159321
Description: In this paper, we develop a version of the bundle method to solve unconstrained difference of convex (DC) programming problems. It is assumed that a DC representation of the objective function is avai... More
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Add  A scaled boundary finite element formulation over arbitrary faceted star convex polyhedra
Authors: Natarajan, Sundararajan | Ooi, Ean | Saputra, Albert | Song, Chongmin
Date: 2017
Subject: 0102 Applied Mathematics | 0905 Civil Engineering | 0913 Mechanical Engineering | Boundary integration | Polygonal finite element method | Polyhedra | Scaled boundary finite element method | Wachspress shape functions
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/157560
Description: In this paper, a displacement based finite element framework for general three-dimensional convex polyhedra is presented. The method is based on a semi-analytical framework, the scaled boundary finite... More
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Add  Characterization theorem for best polynomial spline approximation with free knots, variable degree and fixed tails
Authors: Crouzeix, Jean-Pierre | Sukhorukova, Nadezda | Ugon, Julien
Date: 2017
Subject: 0102 Applied Mathematics | 0103 Numerical and Computational Mathematics | 0906 Electrical and Electronic Engineering | Polynomial splines | Chebyshev approximation | Free knots | Quasidifferential | Best approximation conditions
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159295
Description: In this paper, we derive a necessary condition for a best approximation by piecewise polynomial functions of varying degree from one interval to another. Based on these results, we obtain a characteri... More
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Add  DC programming algorithm for clusterwise linear L1 regression
Authors: Bagirov, Adil | Taheri, Sona
Date: 2017
Subject: Clusterwise regression | Incremental algorithm | Nonsmooth optimization | Smoothing | 0102 Applied Mathematics
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158400
Description: The aim of this paper is to develop an algorithm for solving the clusterwise linear least absolute deviations regression problem. This problem is formulated as a nonsmooth nonconvex optimization probl... More
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Add  Density character of subgroups of topological groups
Authors: Leiderman, Arkady | Morris, Sidney | Tkachenko, Mikhail
Date: 2017
Subject: 0101 Pure Mathematics | 0102 Applied Mathematics | Topological group | Locally compact group | pro-Lie group | Separable topological space
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159323
Description: We give a complete characterization of subgroups of separable topological groups. Then we show that the following conditions are equivalent for an omega-narrow topological group G: (i) G is homeomorph... More
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Add  Double well potential function and its optimization in the n-dimensional real space - Part I
Authors: Fang, Shucherng | Gao, David | Lin, Gang-Xuan | Sheu, Ruey-Lin | Xing, Wenxun
Date: 2017
Subject: 0102 Applied Mathematics | 0103 Numerical and Computational Mathematics | Double well potential | Gener alized ginzburg-landau functional | Non-convex quadratic programming | Polynomial optimization
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158335
Description: A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. It is derived from a discrete approx imation of the generalized Ginzburg-Landau functiona... More
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Add  Double well potential function and its optimization in the N-dimensional real space -- Part I
Authors: Fang, Shu-Cherng | Gao, David | Lin, Gang-Xuan | Sheu, Ruey-Lin | Xing, Wenxun
Date: 2017
Subject: 0102 Applied Mathematics | 0103 Numerical and Computational Mathematics | Non-convex quadratic programming | Polynomial optimization | Generalized Ginzburg-Landau functional | Double well potential
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158516
Description: A special type of multi-variate polynomial of degree 4, called the double well potential function, is studied. It is derived from a discrete approximation of the generalized Ginzburg-Landau functional... More
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Add  Farkas-type results for vector-valued functions with applications
Authors: Dinh, Nguyen | Goberna, Miguel | Lopez, Marco | Mo, T. H.
Date: 2017
Subject: 0102 Applied Mathematics | 0103 Numerical and Computational Mathematics | 0906 Electrical and Electronic Engineering | Farkas-type theorems | Vector optimization | Weak solutions | Vector variational inequalities | Vector equilibrium problems
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159226
Description: The main purpose of this paper consists of providing characterizations of the inclusion of the solution set of a given conic system posed in a real locally convex topological space into a variety of s... More
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Add  On modeling and global solutions for d.c. optimization problems by canonical duality theory
Authors: Jin, Zhong | Gao, David
Date: 2017
Subject: 0102 Applied Mathematics | 0103 Numerical and Computational Mathematics | Canonical duality theory | D.C. programming | Global optimization | Mathematical modeling
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/104304
Description: This paper presents a canonical d.c. (difference of canonical and convex functions) programming problem, which can be used to model general global optimization problems in complex systems. It shows th... More
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Add  On the convexity of nonlinear elastic energies in the right Cauchy-Green tensor
Authors: Gao, David | Neff, Patrizio | Roventa, Ionel | Thiel, Christian
Date: 2017
Subject: 0102 Applied Mathematics | 0905 Civil Engineering | 0912 Materials Engineering | Nonlinear elasticity | Convexity | Global minimizers | Second Piola-Kirchhoff stress tensor
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/159312
Description: We present a sufficient condition under which a weak solution of the Euler-Lagrange equations in nonlinear elasticity is already a global minimizer of the corresponding elastic energy functional. This... More
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Add  Optimization methods for box-constrained nonlinear programming problems based on linear transformation and Lagrange interpolating polynomials
Authors: Wu, Zhiyou | Bai, Fusheng | Tian, Jing
Date: 2017
Subject: Global optimization method | Lagrange interpolating polynomials | Linear transformation | Nonlinear programming | Optimality conditions | 0102 Applied Mathematics
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/158368
Description: In this paper, an optimality condition for nonlinear programming problems with box constraints is given by using linear transformation and Lagrange interpolating polynomials. Based on this condition, ... More
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Add  A generalization of a theorem of Arrow, Barankin and Blackwell to a nonconvex case
Authors: Kasimbeyli, Nergiz | Kasimbeyli, Refail | Mammadov, Musa
Date: 2016
Subject: 0102 Applied Mathematics | 0103 Numerical and Computational Mathematics | Vector optimization | Density theorem | Nonlinear separation theorem | Augmented dual cone | Proper efficiency
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/102050
Description: The paper presents a generalization of a known density theorem of Arrow, Barankin, and Blackwell for properly efficient points defined as support points of sets with respect to monotonically increasin... More
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Add  A value-driven approach for optimizing reliability-redundancy allocation problem in multi-state weighted k-out-of-n system
Authors: Khorshidi, Hadi | Gunawan, Indra | Ibrahim, Yousef
Date: 2016
Subject: 0102 Applied Mathematics | 0910 Manufacturing Engineering | Multi-state weighted k-out-of-n system | Net present value | System reliability optimization | Manufacturing system | Universal generating function
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154534
Description: This study concentrates on optimizing a multi-state weighted k-out-of-n system consisting of different types of reparable components. An optimization model is developed to decide upon both optimal red... More
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Add  Analytical solutions to general anti-plane shear problems in finite elasticity
Authors: Gao, David
Date: 2016
Subject: 0102 Applied Mathematics | 0915 Interdisciplinary Engineering | Canonical duality-triality | Complementary variational principle | Nonconvex analysis | Nonlinear elasticity | Nonlinear PDEs
Type: Text
Identifier: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/99896
Description: This paper presents a pure complementary energy variational method for solving a general anti-plane shear problem in finite elasticity. Based on the canonical duality–triality theory developed by th... More
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