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Topic Review
Mathematical Background of 5D model of the aorta
Visualization is crucial for the display and understanding of medical image data. For diagnostic and surgical planning, radiologists and surgeons must be able to evaluate the data appropriately. Many imaging systems’ data can incorporate both functional and structural information, resulting in 4D datasets. When the image contains spectral information, it can be extended to 5D in some circumstances. Overall, 5D imaging reveals more information than 4D imaging.
  • 747
  • 17 Jan 2022
Topic Review
Blockchain-Based Traffic Bottleneck Management System
To alleviate traffic congestion, it is necessary to effectively manage traffic bottlenecks. In existing research, travel demand prediction for traffic bottlenecks is based on travel behavior assump￾tions, and prediction accuracy is low in practice. Thus, the effect of traffic bottleneck management strategies cannot be guaranteed. Management strategies are often mandatory, leading to problems such as unfairness and low social acceptance. To address such issues, this paper proposes managing traffic bottlenecks based on shared travel plans. To solve the information security and privacy prob￾lems caused by travel plan sharing and achieve information transparency, travel plans are shared and regulated by blockchain technology. To optimize the operation level of traffic bottlenecks, travel plan regulation models under scenarios where all/some travelers share travel plans are proposed and formulated as linear programming models, and these models are integrated into the blockchain with smart contract technology. Furthermore, travel plan regulation models are tested and verified using traffic flow data from the Su-Tong Yangtze River Highway Bridge, China. The results indicate that the proposed travel plan regulation models are effective for alleviating traffic congestion. The vehicle transfer rate and total delay rate increase as the degree of total demand increases; the vehicle transfer rate increases as the length of the time interval decreases; and the vehicle transfer rate and total delay rate increase as the number of vehicles not sharing their travel plans increases. By using the model and method proposed in this paper, the sustainability of urban economy, society, and environment can be promoted.
  • 730
  • 27 Mar 2024
Topic Review
Synthetic Datasets
With the consistent growth in the importance of machine learning and big data analysis, feature selection stands to be one of the most relevant techniques in the field. Extending into many disciplines, the use of feature selection in medical applications, cybersecurity, DNA micro-array data, and many more areas is witnessed. Machine learning models can significantly benefit from the accurate selection of feature subsets to increase the speed of learning and also to generalize the results. Feature selection can considerably simplify a dataset, such that the training models using the dataset can be “faster” and can reduce overfitting. Synthetic datasets were presented as a valuable benchmarking technique for the evaluation of feature selection algorithms.
  • 712
  • 20 Mar 2024
Topic Review
Rack Locations in the Mobile-Rack Picking System
The flexible movement of racks in the mobile-rack picking system (MRPS) significantly improves the picking efficiency of e-commerce orders with the characteristics of “one order multi–items” and creates a challenging problem of how to place racks in the warehouse. This is because the placement of each rack in the MRPS directly influences the distance that racks need to be moved during order picking, which in turn affects the order picking efficiency.
  • 686
  • 23 Feb 2024
Topic Review
Digital Imaging and Communications in Medicine
Medical imaging plays a crucial role in modern healthcare, providing essential information for accurate diagnosis and treatment planning. The Digital Imaging and Communications in Medicine (DICOM) standard has revolutionized the storage, transmission, and sharing of medical images and related data. This research presents an implementation of DICOM communication and the development of a practical demonstration for simulation purposes. The simulation can be used for conducting cybersecurity tests in the context of DICOM communication.
  • 629
  • 25 Sep 2023
Topic Review
Financial Technologies
Financial technology (fintech) is an emerging field where novel technologies are used to improve the business operations or services offered by financial institutions and enterprises. Artificial intelligence (AI), blockchain, and cloud services have caused process disruption, while big data enables greater customer acquisition and retention. Together, these technologies have enhanced the use of interactive fintech agents in finance.  
  • 617
  • 14 Nov 2023
Topic Review
Water Molecules and Electroconvection on Salt Ion Transport
Electrodialysis has gained global recognition as a water purification method with the potential to enhance the overall efficiency of the purification process. The efficiency of electrodialysis depends strongly on the hydrodynamics of the process, as the advent of new high performance membranes on the world market removes the kinetic limitations associated with membranes and shifts the stage that determines the economic efficiency of desalination towards the liquid phase.
  • 612
  • 31 Jan 2024
Topic Review
Mathematical Lower Bounds for City Logistics Distribution Network
By considering the intra-echelon connection of facilities within the same layer of echelon, researchers propose a new distribution network design model by reformulating the classical quadratic assignment problem (QAP). To minimize the overall transportation costs, the proposed model jointly optimizes two types of decisions to enable agile distribution with dynamic “shortcuts”
  • 596
  • 22 May 2023
Topic Review
Shape-Informed Dimensional Reduction in Airfoil/Hydrofoil Modeling Approachs
Parametric models have been widely used in pertinent literature for reconstructing, modifying and representing a wide range of airfoil and/or hydrofoil profile geometries. Design spaces corresponding to these models can be exploited for modeling and profile-shape optimization under various performance criteria. Accuracy requirements, along with the need for modeling local features, often lead to high-dimensional design spaces that hinder the process of shape optimization and design through analysis.
  • 570
  • 28 Sep 2023
Topic Review Peer Reviewed
Count Random Variables
The observation of randomness patterns serves as guidance for the craft of probabilistic modelling. The most used count models—Binomial, Poisson, Negative Binomial—are the discrete Morris’ natural exponential families whose variance is at most quadratic on the mean, and the solutions of Katz–Panjer recurrence relation, aside from being members of the generalised power series and hypergeometric distribution families, and this accounts for their many advantageous characteristics. Some other basic count models are also described, as well as models with less obvious but useful randomness patterns in connection with maximum entropy characterisations, such as Zipf and Good models. Simple tools, such as truncation, thinning, or parameter randomisation, are straightforward ways of constructing other count models.
  • 533
  • 25 Sep 2024
Topic Review
Emission Reduction Decisions in Blockchain-Enabled Low-Carbon Supply Chains
With the rapid development of the global economy, carbon emissions are increasing year by year. The continuous promotion of low-carbon policies has led to a gradual increase in consumers’ carbon perception sensitivity and environmental awareness. With the increasing maturity of blockchain technology, its distributed database technology realizes the transparency and traceability of the carbon emission reduction process, which effectively enhances consumers’ trust in low-carbon products.
  • 512
  • 18 Mar 2024
Topic Review
U-Shaped Conveyor Assembly Line Balancing Problem
Conveyors are used when material is to be moved frequently between specific points. Line balancing involves allocating an equal amount of work to each workstation along the line. The fundamental line balancing problem is to assign a set of tasks to an ordered set of workstations, so that the precedence relationships are satisfied and some measure of performance is optimized.
  • 489
  • 17 Jan 2024
Topic Review
Platform Supply Chain Coordination Considering Fresh-Keeping Service
With changes in demand and the emergence of new distribution channels, consumer-centric buyer’s markets for many products have been formed. The platform supply chain has been continuously optimized and upgraded. Supply chain leaders have moved downstream to the end of the supply chain. The operational value has been further enhanced. The corresponding systematic construction of the platform supply chain has become an important driving force for future development. 
  • 471
  • 09 Oct 2023
Topic Review Peer Reviewed
Partially Ordered Sets in Socio-Economic Data Analysis
A partially ordered set (or a poset, for short) is a set endowed with a partial order relation, i.e., with a reflexive, anti-symmetric, and transitive binary relation. As mathematical objects, posets have been intensively studied in the last century, coming to play essential roles in pure mathematics, logic, and theoretical computer science. More recently, they have been increasingly employed in data analysis, multi-criteria decision-making, and social sciences, particularly for building synthetic indicators and extracting rankings from multidimensional systems of ordinal data. Posets naturally represent systems and phenomena where some elements can be compared and ordered, while others cannot be and are then incomparable. This makes them a powerful data structure to describe collections of units assessed against multidimensional variable systems, preserving the nuanced and multi-faceted nature of the underlying domains. Moreover, poset theory collects the proper mathematical tools to treat ordinal data, fully respecting their non-numerical nature, and to extract information out of order relations, providing the proper setting for the statistical analysis of multidimensional ordinal data. Currently, their use is expanding both to solve open methodological issues in ordinal data analysis and to address evaluation problems in socio-economic sciences, from multidimensional poverty, well-being, or quality-of-life assessment to the measurement of financial literacy, from the construction of knowledge spaces in mathematical psychology and education theory to the measurement of multidimensional ordinal inequality/polarization.
  • 270
  • 25 Jul 2025
Topic Review Peer Reviewed
Metaverse City: Conceptual Views and Formation Factors Towards the Digital Society
The “metaverse city” is defined as an immersive, interactive, and experiential digital environment that replicates or reinvents elements of physical cities, inserting them into an alternative reality. This concept involves transposing the urban, social, and cultural aspects of real cities into the metaverse, thus creating new ways of interacting with and experiencing urban space. Thus, it is not necessarily a digital replica of a physical city; however, it is invariably distinguished by its immersive nature, offering users a sensory and interactive experience. This concept goes beyond the mere digital replication of a city, evolving into a multifaceted space that integrates urban, social, cultural, and technological elements. It is shaped by digital interactions mediated by social actors (users), whose relationships in the metaverse are influenced by the power dynamics occurring in the virtual environment, much like in physical cities. The metaverse city is not merely an extension of the physical city; rather, it is a digital construct that enables alternative ways of living and relating to urban space. Consequently, it is a dynamic and ever-evolving construct, contingent on the active engagement of multiple social actors and their interactions for its consolidation. without the strategic involvement of diverse social actors, the identity and practices that characterize this contemporary urban entity—made possible by emerging technologies—risk losing their viability.
  • 197
  • 20 May 2025
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