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We consider robust combinatorial optimization problems where the decision maker can react to a scenario by choosing from a finite set of $k$ solutions. This approach is appropriate for decision problems under uncertainty where the…

最优化与控制 · 数学 2019-03-28 André Chassein , Marc Goerigk , Jannis Kurtz , Michael Poss

The "0-1 knapsack problem" stands as a classical combinatorial optimization conundrum, necessitating the selection of a subset of items from a given set. Each item possesses inherent values and weights, and the primary objective is to…

神经与进化计算 · 计算机科学 2024-02-20 Mohammad Saleh Vahdatpour

In the knapsack problem under explorable uncertainty, we are given a knapsack instance with uncertain item profits. Instead of having access to the precise profits, we are only given uncertainty intervals that are guaranteed to contain the…

数据结构与算法 · 计算机科学 2025-07-04 Jens Schlöter

Researchers recently extended Distributed Constraint Optimization Problems (DCOPs) to Communication-Aware DCOPs so that they are applicable in scenarios in which messages can be arbitrarily delayed. Distributed asynchronous local search and…

人工智能 · 计算机科学 2025-04-15 Ben Rachmut , Roie Zivan , William Yeoh

We are given n base elements and a finite collection of subsets of them. The size of any subset varies between p to k (p < k). In addition, we assume that the input contains all possible subsets of size p. Our objective is to find a…

数据结构与算法 · 计算机科学 2009-06-09 Asaf Levin , Uri Yovel

We consider bandits with anytime knapsacks (BwAK), a novel version of the BwK problem where there is an \textit{anytime} cost constraint instead of a total cost budget. This problem setting introduces additional complexities as it mandates…

机器学习 · 计算机科学 2025-01-31 Eray Can Elumar , Cem Tekin , Osman Yagan

We study the problem of an online advertising system that wants to optimally spend an advertiser's given budget for a campaign across multiple platforms, without knowing the value for showing an ad to the users on those platforms. We model…

计算机科学与博弈论 · 计算机科学 2021-03-26 Vashist Avadhanula , Riccardo Colini-Baldeschi , Stefano Leonardi , Karthik Abinav Sankararaman , Okke Schrijvers

This paper examines knapsack auctions as a method to solve the knapsack problem with incomplete information, where object values are private and sizes are public. We analyze three auction types-uniform price (UP), discriminatory price (DP),…

计算机科学与博弈论 · 计算机科学 2024-05-02 Peyman Khezr , Vijay Mohan , Lionel Page

The two-dimensional non-oriented bin packing problem with due dates packs a set of rectangular items, which may be rotated by 90 degrees, into identical rectangular bins. The bins have equal processing times. An item's lateness is the…

数据结构与算法 · 计算机科学 2017-11-09 S. Polyakovskiy , R. M'Hallah

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 study the {\em maximum duo-preservation string mapping} ({\sc Max-Duo}) problem, which is the complement of the well studied {\em minimum common string partition} ({\sc MCSP}) problem. Both problems have applications in many fields…

数据结构与算法 · 计算机科学 2017-02-08 Yao Xu , Yong Chen , Taibo Luo , Guohui Lin

Bin Packing with Conflicts (BPC) are problems in which items with compatibility constraints must be packed in the least number of bins, not exceeding the capacity of the bins and ensuring that non-conflicting items are packed in each bin.…

数据结构与算法 · 计算机科学 2019-05-10 Luiz F. O. Moura Santos , Hugo T. Y. Yoshizaki , Claudio B. Cunha

Knapsack problems (KPs) are common in industry, but solving KPs is known to be NP-hard and has been tractable only at a relatively small scale. This paper examines KPs in a slightly generalized form and shows that they can be solved nearly…

分布式、并行与集群计算 · 计算机科学 2020-02-06 Xingwen Zhang , Feng Qi , Zhigang Hua , Shuang Yang

This paper investigates a critical resource allocation problem in the first party cloud: scheduling containers to machines. There are tens of services and each service runs a set of homogeneous containers with dynamic resource usage;…

Knapsack problems are among the most fundamental problems in optimization. In the Multiple Knapsack problem, we are given multiple knapsacks with different capacities and items with values and sizes. The task is to find a subset of items of…

数据结构与算法 · 计算机科学 2021-10-05 Franziska Eberle , Nicole Megow , Lukas Nölke , Bertrand Simon , Andreas Wiese

We consider a Bar Charts Packing Problem (BCPP), in which it is necessary to pack bar charts (BCs) in a strip of minimum length. The problem is, on the one hand, a generalization of the Bin Packing Problem (BPP), and, on the other hand, a…

数据结构与算法 · 计算机科学 2021-01-05 Adil Erzin , Gregory Melidi , Stepan Nazarenko , Roman Plotnikov

We study constant-factor approximation algorithms for the Bin Packing Problem with Setups (BPPS). First, we show that adaptations of classical BPP heuristics can have arbitrarily poor worst-case performance on BPPS instances. Then, we…

最优化与控制 · 数学 2026-01-01 Roberto Baldacci , Fabio Ciccarelli , Stefano Coniglio , Valerio Dose , Fabio Furini

We consider the distributed version of the Multiple Knapsack Problem (MKP), where $m$ items are to be distributed amongst $n$ processors, each with a knapsack. We propose different distributed approximation algorithms with a tradeoff…

数据结构与算法 · 计算机科学 2017-02-06 Ananth Murthy , Chandan Yeshwanth , Shrisha Rao

Meta-heuristics are frequently used to tackle NP-hard combinatorial optimization problems. With this paper we contribute to the understanding of the success of 2-opt based local search algorithms for solving the traveling salesman problem…

数据结构与算法 · 计算机科学 2012-08-14 Olaf Mersmann , Bernd Bischl , Heike Trautmann , Markus Wagner , Frank Neumann

The maximum density still life problem (MDSLP) is a hard constraint optimization problem based on Conway's game of life. It is a prime example of weighted constrained optimization problem that has been recently tackled in the…

神经与进化计算 · 计算机科学 2008-12-23 Jose E. Gallardo , Carlos Cotta , Antonio J. Fernandez