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In this paper, a tunneling method is developed for nonlinear multiobjective optimization problems using some ideas of the single objective tunneling method. The proposed method does not require any a priori chosen parameters or ordering…

最优化与控制 · 数学 2025-10-06 Bikram Adhikary , Md Abu Talhamainuddin Ansary

Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Combining the use of our data structure for characterizing feasible packings with our new classes of…

数据结构与算法 · 计算机科学 2007-05-23 Sandor P. Fekete , Joerg Schepers , Jan C. van der Veen

When designing a motion planner for autonomous robots there are usually multiple objectives to be considered. However, a cost function that yields the desired trade-off between objectives is not easily obtainable. A common technique across…

机器人学 · 计算机科学 2023-12-13 Nils Wilde , Stephen L. Smith , Javier Alonso-Mora

The multi-objective optimization is to optimize several objective functions over a common feasible set. Since the objectives usually do not share a common optimizer, people often consider (weakly) Pareto points. This paper studies…

最优化与控制 · 数学 2023-12-05 Jiawang Nie , Zi Yang

We propose a novel method for multi-objective motion planning problems by leveraging the paradigm of lexicographic optimization and applying it for the first time to graph search over probabilistic roadmaps. The competing resources of…

机器人学 · 计算机科学 2020-08-19 Tixiao Shan , Brendan Englot

We present methods for co-designing rigid robots over control and morphology (including discrete topology) over multiple objectives. Previous work has addressed problems in single-objective robot co-design or multi-objective control.…

机器人学 · 计算机科学 2021-07-16 Jie Xu , Andrew Spielberg , Allan Zhao , Daniela Rus , Wojciech Matusik

Sequential decision-making problems with multiple objectives arise naturally in practice and pose unique challenges for research in decision-theoretic planning and learning, which has largely focused on single-objective settings. This…

人工智能 · 计算机科学 2014-02-05 Diederik Marijn Roijers , Peter Vamplew , Shimon Whiteson , Richard Dazeley

Constrained multiobjective optimization has gained much interest in the past few years. However, constrained multiobjective optimization problems (CMOPs) are still unsatisfactorily understood. Consequently, the choice of adequate CMOPs for…

神经与进化计算 · 计算机科学 2023-02-07 Aljoša Vodopija , Tea Tušar , Bogdan Filipič

For solving constrained multicriteria problems, we introduce the multiobjective barrier method (MBM), which extends the scalar-valued internal penalty method. This multiobjective version of the classical method also requires a penalty…

最优化与控制 · 数学 2018-04-02 Ellen H. Fukuda , L. M. Grana Drummond , Fernanda M. P. Raupp

We propose a multi-objective global pattern search algorithm for the task of locating and quantifying damage in flexible mechanical structures. This is achieved by identifying eigenfrequencies and eigenmodes from measurements and matching…

In this paper, a new one-parameter filled function approach is developed for nonlinear multi-objective optimization. Inspired by key filled function ideas from single-objective optimization, the proposed method is adapted to the…

最优化与控制 · 数学 2026-04-01 Bikram Adhikary , Md Abu Talhamainuddin Ansary

In multiobjective optimization, most branch and bound algorithms provide the decision maker with the whole Pareto front, and then decision maker could select a single solution finally. However, if the number of objectives is large, the…

最优化与控制 · 数学 2024-02-29 Weitian Wu , Xinmin Yang

Multi-agent systems seeking consensus may also have other objective functions to optimize, requiring the research of multi-objective optimization in consensus. Several recent publications have explored this domain using various methods such…

多智能体系统 · 计算机科学 2025-04-15 Michael P. Wozniak

Many existing branch and bound algorithms for multiobjective optimization problems require a significant computational cost to approximate the entire Pareto optimal solution set. In this paper, we propose a new branch and bound algorithm…

最优化与控制 · 数学 2024-05-20 Weitian Wu , Xinmin Yang

An important benefit of multi-objective search is that it maintains a diverse population of candidates, which helps in deceptive problems in particular. Not all diversity is useful, however: candidates that optimize only one objective while…

神经与进化计算 · 计算机科学 2019-06-11 Hormoz Shahrzad , Daniel Fink , Risto Miikkulainen

Benson's outer approximation algorithm and its variants are the most frequently used methods for solving linear multiobjective optimization problems. These algorithms have two intertwined components: one-dimensional linear optimization one…

最优化与控制 · 数学 2019-03-21 Laszlo Csirmaz

Query plans are compared according to multiple cost metrics in multi-objective query optimization. The goal is to find the set of Pareto plans realizing optimal cost tradeoffs for a given query. So far, only algorithms with exponential…

数据库 · 计算机科学 2016-03-02 Immanuel Trummer , Christoph Koch

Optimally selecting a subset of targets from a larger catalog is a common problem in astronomy and cosmology. A specific example is the selection of targets from an imaging survey for multi-object spectrographic follow-up. We present a new…

天体物理学 · 物理学 2009-11-11 E. C. Elson , B. A. Bassett , K. van der Heyden , Z. Z. Vilakazi

The rapid uptake of renewable energy sources in the electricity grid leads to a demand in load shaping and flexibility. Energy storage devices such as batteries are a key element to provide solutions to these tasks. However, typically a…

最优化与控制 · 数学 2019-07-16 Philipp Sauerteig , Karl Worthmann

To date, the multi-objective optimization literature has mainly focused on conflicting objectives, studying the Pareto front, or requiring users to balance tradeoffs. Yet, in machine learning practice, there are many scenarios where such…

机器学习 · 计算机科学 2025-03-05 Yonathan Efroni , Ben Kretzu , Daniel Jiang , Jalaj Bhandari , Zheqing , Zhu , Karen Ullrich