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Mathematics, Volume 11, Issue 23

December-1 2023 - 160 articles

Cover Story: The two-dimensional strip-packing problem (2D-SPP) aims to optimize the arrangement of small rectangular items within unique strips with a fixed width and infinite height to minimize the usage of height. Despite extensive academic exploration, applying 2D-SPP solutions in industrial settings remains challenging. Our paper addresses this academia–industry gap by proposing a robust optimization model for an uncertain 2D-SPP with variable-sized bins, ensuring resilience to fluctuating demands. We employ the contiguous one-dimensional relaxation technique in conjunction with column generation to minimize the lower bound of the problem, augmenting the solution accuracy. We leverage the Karush–Kuhn–Tucker condition to transform the model into a more tractable form, leading to an exact solution. View this paper
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Articles (160)

  • Article
  • Open Access
2 Citations
3,715 Views
26 Pages

4 December 2023

An important action-planning problem is considered for participants of the pursuit–evasion game with multiple pursuers and a high-speed evader. The objects of study are mobile robotic systems and specifically small unmanned aerial vehicles (UAV...

  • Article
  • Open Access
3 Citations
2,657 Views
13 Pages

3D Multi-Organ and Tumor Segmentation Based on Re-Parameterize Diverse Experts

  • Ping Liu,
  • Chunbin Gu,
  • Bian Wu,
  • Xiangyun Liao,
  • Yinling Qian and
  • Guangyong Chen

4 December 2023

Automated segmentation of abdominal organs and tumors in medical images is a challenging yet essential task in medical image analysis. Deep learning has shown excellent performance in many medical image segmentation tasks, but most prior efforts were...

  • Article
  • Open Access
1 Citations
1,592 Views
21 Pages

4 December 2023

This study proposes an interface localizing scheme to enhance the performance of the previous hybrid-level interface-reduction method. The conventional component mode synthesis (CMS) only focuses on interior reduction, while the interface is fully re...

  • Article
  • Open Access
1 Citations
1,304 Views
16 Pages

4 December 2023

The Cholesky factorization of the moment matrix is considered for the Gauss hypergeometric discrete orthogonal polynomials. This family of discrete orthogonal polynomials has a weight with first moment given by ρ0=2F1a,bc+1;η. For the Gauss h...

  • Article
  • Open Access
27 Citations
8,807 Views
37 Pages

4 December 2023

This paper presents a transformative methodology that harnesses the power of digital twin (DT) technology for the advanced condition monitoring of lithium-ion batteries (LIBs) in electric vehicles (EVs). In contrast to conventional solutions, our app...

  • Article
  • Open Access
7 Citations
1,950 Views
26 Pages

4 December 2023

Predator–prey interactions do not solely depend on biotic factors: rather, they depend on many other abiotic factors also. One such abiotic factor is wind speed, which can crucially change the predation efficiency of the predator population. In...

  • Article
  • Open Access
4 Citations
1,961 Views
15 Pages

4 December 2023

Solving optimization problems in a fuzzy environment is an area widely addressed in the recent literature. De-fuzzification of data, construction of crisp more or less equivalent problems, unification of multiple objectives, and solving a single cris...

  • Article
  • Open Access
7 Citations
1,972 Views
21 Pages

Driver Distraction Detection Based on Cloud Computing Architecture and Lightweight Neural Network

  • Xueda Huang,
  • Shaowen Wang,
  • Guanqiu Qi,
  • Zhiqin Zhu,
  • Yuanyuan Li,
  • Linhong Shuai,
  • Bin Wen,
  • Shiyao Chen and
  • Xin Huang

4 December 2023

Distracted behavior detection is an important task in computer-assisted driving. Although deep learning has made significant progress in this area, it is still difficult to meet the requirements of the real-time analysis and processing of massive dat...

  • Article
  • Open Access
2 Citations
2,639 Views
15 Pages

4 December 2023

A multivariate folded normal distribution is a distribution of the absolute value of a Gaussian random vector. In this paper, we provide the marginal and conditional distributions of the multivariate folded normal distribution, and also prove that in...

  • Article
  • Open Access
9 Citations
2,207 Views
19 Pages

4 December 2023

Economic growth is essential for nations endowed with natural resources as it reflects how well those resources are utilized in an efficient and sustainable way. For instance, OPEC member nations, which hold a large proportion of the world’s oi...

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Mathematics - ISSN 2227-7390Creative Common CC BY license