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The Sequential Multiple Knapsack Problem is a special case of Multiple knapsack problem in which the items sizes are divisible. A characterization of the optimal solutions of the problem and a description of the convex hull of all the…

最优化与控制 · 数学 2014-06-13 Paolo Detti

In the first place, a novel, yet straightforward in-place integer value-sorting algorithm is presented. It sorts in linear time using constant amount of additional memory for storing counters and indices beside the input array. The…

数据结构与算法 · 计算机科学 2013-07-11 A. Emre Cetin

Sentence order prediction is the task of finding the correct order of sentences in a randomly ordered document. Correctly ordering the sentences requires an understanding of coherence with respect to the chronological sequence of events…

计算与语言 · 计算机科学 2021-09-07 Deepanway Ghosal , Navonil Majumder , Rada Mihalcea , Soujanya Poria

This work shows that the following problems are equivalent, both in theory and in practice: - median filtering: given an $n$-element vector, compute the sliding window median with window size $k$, - piecewise sorting: given an $n$-element…

数据结构与算法 · 计算机科学 2014-06-09 Jukka Suomela

We study the combinatorial FIFO Stack-Up problem, where bins have to be stacked-up from conveyor belts onto pallets. Given k sequences of labeled bins and a positive integer p, the goal is to stack-up the bins by iteratively removing the…

数据结构与算法 · 计算机科学 2016-08-02 Frank Gurski , Jochen Rethmann , Egon Wanke

Randomized rounding is a technique that was originally used to approximate hard offline discrete optimization problems from a mathematical programming relaxation. Since then it has also been used to approximately solve sequential stochastic…

数据结构与算法 · 计算机科学 2024-11-21 Will Ma

Sequential allocation is a simple and attractive mechanism for the allocation of indivisible goods. Agents take turns, according to a policy, to pick items. Sequential allocation is guaranteed to return an allocation which is efficient but…

人工智能 · 计算机科学 2018-01-17 Haris Aziz , Thomas Kalinowski , Toby Walsh , Lirong Xia

Sentence ordering is the task of arranging the sentences of a given text in the correct order. Recent work using deep neural networks for this task has framed it as a sequence prediction problem. In this paper, we propose a new framing of…

计算与语言 · 计算机科学 2020-05-04 Shrimai Prabhumoye , Ruslan Salakhutdinov , Alan W Black

We considered the problem how to handle the exploding number of possibilities to be sorted into irreducible classes by using a clustering tool when its input capacity cannot accommodate the total number of the possibility. Concrete…

计算物理 · 物理学 2021-04-20 Keishu Utimula , Genki I. Prayogo , Kousuke Nakano , Kenta Hongo , Ryo Maezono

In this work of thesis we introduce and study a new family of sorting devices, which we call pattern-avoiding machines. They consist of two stacks in series, equipped with a greedy procedure. On both stacks we impose a static constraint in…

组合数学 · 数学 2022-10-10 Giulio Cerbai

The tensor network, as a facterization of tensors, aims at performing the operations that are common for normal tensors, such as addition, contraction and stacking. However, due to its non-unique network structure, only the tensor network…

机器学习 · 计算机科学 2022-05-25 Tianning Zhang , Tianqi Chen , Erping Li , Bo Yang , L. K. Ang

We present an algorithm determining where to relocate objects inside a cluttered and confined space while rearranging objects to retrieve a target object. Although methods that decide what to remove have been proposed, planning for the…

机器人学 · 计算机科学 2020-03-25 Sang Hun Cheong , Brian Y. Cho , Jinhwi Lee , ChangHwan Kim , Changjoo Nam

Optimal shelflisting invites profit maximization to become sensitive to the ways in which purchasing decisions are order-dependent. We study the computational complexity of the corresponding product arrangement problem when consumers are…

计算机科学与博弈论 · 计算机科学 2016-11-15 Yongjie Yang , Dinko Dimitrov

We classify finite posets with a particular sorting property, generalizing a result for rectangular arrays. Each poset is covered by two sets of disjoint saturated chains such that, for any original labeling, after sorting the labels along…

组合数学 · 数学 2007-05-23 Bridget Eileen Tenner

Stacking is an important process within logistics. Some notable examples of items to be stacked are steel bars or steel plates in a steel yard or containers in a container terminal or on a ship. We say that two items are conflicting if…

数据结构与算法 · 计算机科学 2021-06-07 Martin Olsen

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

人工智能 · 计算机科学 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

Spike sorting plays an irreplaceable role in understanding brain codes. Traditional spike sorting technologies perform feature extraction and clustering separately after spikes are well detected. However, it may often cause many additional…

信号处理 · 电气工程与系统科学 2020-11-23 Libo Huang , Lu Gan , Bingo Wing-Kuen Ling

We study the combinatorial FIFO stack-up problem. In delivery industry, bins have to be stacked-up from conveyor belts onto pallets with respect to customer orders. Given k sequences q_1, ..., q_k of labeled bins and a positive integer p,…

数据结构与算法 · 计算机科学 2015-10-16 Frank Gurski , Jochen Rethmann , Egon Wanke

If your socks come out of the laundry all mixed up, how should you sort them? We introduce and study a novel foot-sorting algorithm that uses feet to attempt to sort a sock ordering; one can view this algorithm as an analogue of Knuth's…

组合数学 · 数学 2024-07-02 Colin Defant , Noah Kravitz

Pancake Flipping is the problem of sorting a stack of pancakes of different sizes (that is, a permutation), when the only allowed operation is to insert a spatula anywhere in the stack and to flip the pancakes above it (that is, to perform…

计算复杂性 · 计算机科学 2012-09-05 Laurent Bulteau , Guillaume Fertin , Irena Rusu