2023
DOI: 10.21123/bsj.2022.6373
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A Heuristic Approach to the Consecutive Ones Submatrix Problem

Rewayda Abo-Alsabeh,
Hajem Ati Daham,
Abdellah Salhi

Abstract: Given a (0, 1) −matrix, the Consecutive Ones Submatrix (C1S) problem which aims to find the permutation of columns that maximizes the number of columns having together only one block of consecutive ones in each row is considered here. A heuristic approach will be suggested to solve the problem. Also, the Consecutive Blocks Minimization (CBM) problem which is related to the consecutive ones submatrix will be considered. The new procedure is proposed to improve the column insertion approach. Then real world and … Show more

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“…Mobile devices are capitalizing on the benefits that continuum computing has to offer in 2024, 21(2 Special Issue): 0740-0754 https://doi.org /10.21123/bsj.2024.10084 P-ISSN: 2078-8665 -E-ISSN: 2411 Baghdad Science Journal appropriate distribution of resources to tasks. The problem of task scheduling in such environment is referred to as NP-hard 4 . This is as a result of the fact that the amount of computational time required to solve a specific instance of tasks or applications increases in polynomial time 5 .…”
Section: Introductionmentioning
confidence: 99%
“…Mobile devices are capitalizing on the benefits that continuum computing has to offer in 2024, 21(2 Special Issue): 0740-0754 https://doi.org /10.21123/bsj.2024.10084 P-ISSN: 2078-8665 -E-ISSN: 2411 Baghdad Science Journal appropriate distribution of resources to tasks. The problem of task scheduling in such environment is referred to as NP-hard 4 . This is as a result of the fact that the amount of computational time required to solve a specific instance of tasks or applications increases in polynomial time 5 .…”
Section: Introductionmentioning
confidence: 99%