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Mathematics, Volume 10, Issue 19

October-1 2022 - 308 articles

Cover Story: Bulk-service queueing systems have been widely applied in many areas in real life. Compared to well-developed single-server queueing systems, multi-server queueing systems are more complex and harder to deal with, especially when the inter-arrival time distributions are arbitrary. This paper deals with analytic and computational analysis of queue-length distributions for a complex bulk-service, multi-server queueing system GI/Ma,b/c, wherein inter-arrival times follow an arbitrary distribution, a is the quorum, b is the capacity of each server, and c is the number of servers; service times follow exponential distributions. The introduction of quorum increases the complexity of the model. In view of this, a two-dimensional Markov chain has to be involved. Currently, it appears that this system has not been addressed. View this paper
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Articles (308)

  • Article
  • Open Access
3 Citations
2,202 Views
20 Pages

10 October 2022

Quasi-Monte Carlo (QMC) methods have been successfully used for the estimation of numerical integrations arising in many applications. In most QMC methods, low-discrepancy sequences have been used, such as digital nets and lattice rules. In this pape...

  • Article
  • Open Access
2 Citations
2,100 Views
25 Pages

2D Newton Schwarz Legendre Collocation Method for a Convection Problem

  • Darío Martínez,
  • Henar Herrero and
  • Francisco Pla

10 October 2022

In this work, an alternate Schwarz domain decomposition method is proposed to solve a Rayleigh–Bénard problem. The problem is modeled with the incompressible Navier–Stokes equations coupled with a heat equation in a rectangular dom...

  • Article
  • Open Access
2 Citations
2,523 Views
18 Pages

10 October 2022

Adversarial examples easily mislead vision systems based on deep neural networks (DNNs) trained with softmax cross entropy (SCE) loss. The vulnerability of DNN comes from the fact that SCE drives DNNs to fit on the training examples, whereas the resu...

  • Article
  • Open Access
10 Citations
8,043 Views
21 Pages

RanKer: An AI-Based Employee-Performance Classification Scheme to Rank and Identify Low Performers

  • Keyur Patel,
  • Karan Sheth,
  • Dev Mehta,
  • Sudeep Tanwar,
  • Bogdan Cristian Florea,
  • Dragos Daniel Taralunga,
  • Ahmed Altameem,
  • Torki Altameem and
  • Ravi Sharma

10 October 2022

An organization’s success depends on its employees, and an employee’s performance decides whether the organization is successful. Employee performance enhances the productivity and output of organizations, i.e., the performance of an empl...

  • Article
  • Open Access
1 Citations
1,800 Views
25 Pages

10 October 2022

The large arcsine exponential dispersion model (LAEDM) is a class of three-parameter distributions on the non-negative integers. These distributions show the specific characteristics of being leptokurtic, zero-inflated, overdispersed, and skewed to t...

  • Article
  • Open Access
3 Citations
2,177 Views
27 Pages

Potentially Related Commodity Discovery Based on Link Prediction

  • Xiaoji Wan,
  • Fen Chen,
  • Hailin Li and
  • Weibin Lin

10 October 2022

The traditional method of related commodity discovery mainly focuses on direct co-occurrence association of commodities and ignores their indirect connection. Link prediction can estimate the likelihood of links between nodes and predict the existent...

  • Article
  • Open Access
4 Citations
2,190 Views
16 Pages

Analysis and Performance Evaluation of a Novel Adjustable Speed Drive with a Homopolar-Type Rotor

  • Songlin Guo,
  • Zhengkang Yi,
  • Pan Liu,
  • Guoshuai Wang,
  • Houchuan Lai,
  • Kexun Yu and
  • Xianfei Xie

10 October 2022

The use of a magnetic adjustable speed drive is a popular choice in industrial settings due to its efficient operation, vibration isolation, low maintenance, and overload protection. Most conventional magnetic adjustable speed drives use various form...

  • Article
  • Open Access
5 Citations
1,945 Views
15 Pages

10 October 2022

The traditional radial basis function collocation method (RBFCM) has poor stability when solving two-dimensional elastic problems, and the numerical results are very sensitive to shape parameters, especially in solving elastic problems. In this paper...

  • Article
  • Open Access
4 Citations
2,434 Views
32 Pages

10 October 2022

The stability of an open-pit slope is an extremely important factor related to the safe production of an open-pit mine. It is the first safety technical problem encountered and should be solved in the process of mine design and production. By the mea...

  • Article
  • Open Access
1,540 Views
15 Pages

Entropy-Randomized Clustering

  • Yuri S. Popkov,
  • Yuri A. Dubnov and
  • Alexey Yu. Popkov

10 October 2022

This paper proposes a clustering method based on a randomized representation of an ensemble of possible clusters with a probability distribution. The concept of a cluster indicator is introduced as the average distance between the objects included in...

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Mathematics - ISSN 2227-7390