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Optimization Methods and Software Volume 28, 2013 - Issue 4: the 8th International Conference on Optimization: Techniques and Applications
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Original Articles

Trust region methods for solving multiobjective optimisation

Shaojian Qu Academy of Fundamental & Interdisciplinary Sciences, Harbin Institute of Technology, Rm.519, Bldg.2H, 2 Yikuang Str., Nangang Dist., Harbin, 150080, People's Republic of ChinaCorrespondence[email protected]
,
Mark Goh Department of Decision Sciences, National University of Singapore, Singapore; School of Management, University of South Australia, Australia
&
Bing Liang School of Management, Harbin Institute of Technology
Pages 796-811 | Received 18 Feb 2011, Accepted 12 Jan 2012, Published online: 14 May 2012

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Nasim Ghalavand, Esmaile Khorram & Vahid Morovati. (2023) Two adaptive nonmonotone trust-region algorithms for solving multiobjective optimization problems. Optimization 0:0, pages 1-33.
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Md. Abu Talhamainuddin Ansary & Geetanjali Panda. (2019) A sequential quadratically constrained quadratic programming technique for a multi-objective optimization problem. Engineering Optimization 51:1, pages 22-41.
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Md.A.T. Ansary & G. Panda. (2015) A modified Quasi-Newton method for vector optimization problem. Optimization 64:11, pages 2289-2306.
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A. S. Melo, L. B. dos Santos & M. A. Rojas-Medar. Nonregular multiobjective problems: optimality conditions. Optimization 0:0, pages 1-23.
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Articles from other publishers (18)

A. Mohammadi & A. L. Custódio. (2023) A trust-region approach for computing Pareto fronts in multiobjective optimization. Computational Optimization and Applications.
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Suyun Liu & Luis Nunes Vicente. (2023) Convergence Rates of the Stochastic Alternating Algorithm for Bi-Objective Optimization. Journal of Optimization Theory and Applications 198:1, pages 165-186.
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R. Garmanjani. (2022) Complexity bound of trust-region methods for convex smooth unconstrained multiobjective optimization. Optimization Letters 17:5, pages 1161-1179.
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N. Eslami, B. Najafi & S. M. Vaezpour. (2022) A Trust Region Method for Solving Multicriteria Optimization Problems on Riemannian Manifolds. Journal of Optimization Theory and Applications 196:1, pages 212-239.
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Nantu Kumar Bisui & Geetanjali Panda. (2021) Adaptive trust region scheme for multi-objective optimization problem using Geršgorin circle theorem. Journal of Applied Mathematics and Computing 68:4, pages 2151-2172.
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Mike G. Tsionas. (2021) Multi-criteria optimization in regression. Annals of Operations Research 306:1-2, pages 7-25.
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Manuel Berkemeier & Sebastian Peitz. (2021) Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models. Mathematical and Computational Applications 26:2, pages 31.
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S. Liu & L. N. Vicente. (2021) The stochastic multi-gradient algorithm for multi-objective optimization and its application to supervised machine learning. Annals of Operations Research.
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Md Abu Talhamainuddin Ansary & Geetanjali Panda. (2021) A Globally Convergent SQCQP Method for Multiobjective Optimization Problems. SIAM Journal on Optimization 31:1, pages 91-113.
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Gabriel Haeser & Alberto Ramos. (2020) Constraint Qualifications for Karush–Kuhn–Tucker Conditions in Multiobjective Optimization. Journal of Optimization Theory and Applications 187:2, pages 469-487.
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L. R. Lucambio Pérez & L. F. Prudente. (2019) A Wolfe Line Search Algorithm for Vector Optimization. ACM Transactions on Mathematical Software 45:4, pages 1-23.
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D.A.G. Vieira & A.C. Lisboa. (2019) A cutting-plane method to nonsmooth multiobjective optimization problems. European Journal of Operational Research 275:3, pages 822-829.
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Vahid Morovati & Latif Pourkarimi. (2019) Extension of Zoutendijk method for solving constrained multiobjective optimization problems. European Journal of Operational Research 273:1, pages 44-57.
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Vahid Morovati, Hadi Basirzadeh & Latif Pourkarimi. (2017) Quasi-Newton methods for multiobjective optimization problems. 4OR 16:3, pages 261-294.
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Benar F. Svaiter. (2018) The multiobjective steepest descent direction is not Lipschitz continuous, but is Hölder continuous. Operations Research Letters 46:4, pages 430-433.
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Mike G. Tsionas. (2018) A Bayesian approach to find Pareto optima in multiobjective programming problems using Sequential Monte Carlo algorithms. Omega 77, pages 73-79.
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Gabriel A. Carrizo, Pablo A. Lotito & Mar?a C. Maciel. (2015) Trust region globalization strategy for the nonconvex unconstrained multiobjective optimization problem. Mathematical Programming 159:1-2, pages 339-369.
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Shaojian Qu, Chen Liu, Mark Goh, Yijun Li & Ying Ji. (2014) Nonsmooth multiobjective programming with quasi-Newton methods. European Journal of Operational Research 235:3, pages 503-510.
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