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Rollout algorithms have demonstrated excellent performance on a variety of dynamic and discrete optimization problems. Interpreted as an approximate dynamic programming algorithm, a rollout algorithm estimates the value-to-go at each…

数据结构与算法 · 计算机科学 2013-11-27 Andrew Mastin , Patrick Jaillet

We investigate a real-life air cargo loading problem which is a variant of the three-dimensional Variable Size Bin Packing Problem with special bin forms of cuboid and non-cuboid unit load devices (ULDs). Packing is constrained by…

最优化与控制 · 数学 2024-10-03 Katrin Heßler , Timo Hintsch , Lukas Wienkamp

Quantum computing is offering a novel perspective for solving combinatorial optimization problems. To fully explore the possibilities offered by quantum computers, the problems need to be formulated as unconstrained binary models, taking…

量子物理 · 物理学 2022-02-01 Özlem Salehi , Adam Glos , Jarosław Adam Miszczak

This paper introduces a family of learning-augmented algorithms for online knapsack problems that achieve near Pareto-optimal consistency-robustness trade-offs through a simple combination of trusted learning-augmented and worst-case…

The quality of solution sets generated by decomposition-based evolutionary multiobjective optimisation (EMO) algorithms depends heavily on the consistency between a given problem's Pareto front shape and the specified weights' distribution.…

神经与进化计算 · 计算机科学 2017-09-11 Miqing Li , Xin Yao

We introduce and study a discrete multi-period extension of the classical knapsack problem, dubbed generalized incremental knapsack. In this setting, we are given a set of $n$ items, each associated with a non-negative weight, and $T$ time…

数据结构与算法 · 计算机科学 2020-09-16 Yuri Faenza , Danny Segev , Lingyi Zhang

In this work we introduce an evolutionary strategy to solve combinatorial optimization tasks, i.e. problems characterized by a discrete search space. In particular, we focus on the Traveling Salesman Problem (TSP), i.e. a famous problem…

无序系统与神经网络 · 物理学 2016-08-05 Marco Alberto Javarone

A new model for evolving Evolutionary Algorithms is proposed in this paper. The model is based on the Linear Genetic Programming (LGP) technique. Every LGP chromosome encodes an EA which is used for solving a particular problem. Several…

神经与进化计算 · 计算机科学 2021-09-28 Mihai Oltean

Generating diverse populations of high quality solutions has gained interest as a promising extension to the traditional optimization tasks. This work contributes to this line of research with an investigation on evolutionary diversity…

神经与进化计算 · 计算机科学 2022-11-01 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Evolution Strategies (ES) emerged as a scalable alternative to popular Reinforcement Learning (RL) techniques, providing an almost perfect speedup when distributed across hundreds of CPU cores thanks to a reduced communication overhead.…

机器学习 · 统计学 2018-11-13 Víctor Campos , Xavier Giro-i-Nieto , Jordi Torres

This paper studies the equitable and optimal transport (EOT) problem, which has many applications such as fair division problems and optimal transport with multiple agents etc. In the discrete distributions case, the EOT problem can be…

最优化与控制 · 数学 2021-10-04 Minhui Huang , Shiqian Ma , Lifeng Lai

We revisit the classic 0-1-Knapsack problem, in which we are given $n$ items with their weights and profits as well as a weight budget $W$, and the goal is to find a subset of items of total weight at most $W$ that maximizes the total…

数据结构与算法 · 计算机科学 2023-10-24 Karl Bringmann , Alejandro Cassis

Characteristics of an evolutionary multi-objective optimization (EMO) algorithm can be explained using its best solution set. For example, the best solution set for SMS-EMOA is the same as the optimal distribution of solutions for…

神经与进化计算 · 计算机科学 2025-04-25 Hisao Ishibuchi , Lie Meng Pang

There are many combinatorial optimization problems whose solutions are best represented by permutations. The classic traveling salesperson seeks an optimal ordering over a set of cities. Scheduling problems often seek optimal orderings of…

神经与进化计算 · 计算机科学 2023-11-27 Vincent A. Cicirello

Motivated by bursty bandwidth allocation and by the allocation of virtual machines to servers in the cloud, we consider the online problem of packing items with random sizes into unit-capacity bins. Items arrive sequentially, but upon…

最优化与控制 · 数学 2021-02-08 Sebastian Perez-Salazar , Mohit Singh , Alejandro Toriello

While the theoretical analysis of evolutionary algorithms (EAs) has made significant progress for pseudo-Boolean optimization problems in the last 25 years, only sporadic theoretical results exist on how EAs solve permutation-based…

神经与进化计算 · 计算机科学 2024-04-23 Benjamin Doerr , Yassine Ghannane , Marouane Ibn Brahim

In last decades optimization and control of complex systems that possessed various conflicted objectives simultaneously attracted an incremental interest of scientists. This is because of the vast applications of these systems in various…

神经与进化计算 · 计算机科学 2013-12-17 Ahmad Mozaffari , Alireza Fathi

The stochastic knapsack problem is the stochastic variant of the classical knapsack problem in which the algorithm designer is given a a knapsack with a given capacity and a collection of items where each item is associated with a profit…

数据结构与算法 · 计算机科学 2017-12-05 Anindya De

We consider the classical scheduling problem on parallel identical machines to minimize the makespan, and achieve the following results under the Exponential Time Hypothesis (ETH) 1. The scheduling problem on a constant number $m$ of…

计算复杂性 · 计算机科学 2013-10-02 Lin Chen , Klaus Jansen , Guochuan Zhang

Evolutionary algorithms (EAs) are universal solvers inspired by principles of natural evolution. In many applications, EAs produce astonishingly good solutions. As they are able to deal with complex optimisation problems, they show great…

神经与进化计算 · 计算机科学 2024-09-25 Jakob Baumann , Ignaz Rutter , Dirk Sudholt