Results 61 to 70 of about 11,571 (197)
Comprehensive Downtime Prediction in Next-Generation Internet
International Islamic University Malaysia Engineering Journal, 2012 The benchmark for the reliability quality of networks depends mainly on the accuracy and comprehensiveness of the reliability parameters. Downtime prediction of a communication system is crucial for the quality of service (QoS) offered to the end-user ...
W. F. Al-Khateeb, S. Al-Irhayim, and K. A. Al-Khateeb
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On the fractional Laplacian of a function with respect to another function
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14079-14110, December 2024.The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function. The theory is developed both in the 1‐dimensional setting and in the general n$$ n $$‐dimensional setting.
Arran Fernandez +2 more
wiley +1 more source
A Note on the Waiting-Time Distribution in an Infinite-Buffer GI[X]/C-MSP/1 Queueing System
Journal of Probability and Statistics, 2018 This paper deals with a batch arrival infinite-buffer single server queue. The interbatch arrival times are generally distributed and arrivals are occurring in batches of random size.
A. D. Banik +2 more
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A new extended δ‐shock model with the consideration of shock magnitude
Applied Stochastic Models in Business and Industry, Volume 40, Issue 5, Page 1355-1364, September/October 2024.Abstract In this article, a new δ$$ \delta $$‐shock model that takes into account the magnitude of shocks is introduced and studied from reliability perspective. According to the new model, the system breaks down if either a shock after non‐critical shock occurs in a time length less than δ1$$ {\delta}_1 $$ or a shock after a critical shock occurs in a
Hamed Lorvand, Serkan Eryilmaz
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The approximation of Laplace–Stieltjes transformations with finite order on the left half plane
Comptes Rendus. Mathématique, 2017 In this paper, we study the error in approximating the analytic function defined by a Laplace–Stieltjes transformation of finite order, which converges on the left half plane, and obtain the relation theorems between the error, the coefficients, and the proximate order of the Laplace–Stieltjes transformation.
Xu, Hong-Yan, Kong, Yin-Ying
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Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices
Communications on Pure and Applied Mathematics, Volume 77, Issue 9, Page 3785-3840, September 2024.Abstract We consider N×N$N\times N$ non‐Hermitian random matrices of the form X+A$X+A$, where A$A$ is a general deterministic matrix and NX$\sqrt {N}X$ consists of independent entries with zero mean, unit variance, and bounded densities. For this ensemble, we prove (i) a Wegner estimate, that is, that the local density of eigenvalues is bounded by N1+o(
László Erdős, Hong Chang Ji
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Operations Research Perspectives, 2015 We study the paper of Gao and Liu (2013). In the paper, the authors pay little attention to the customer’s sojourn time in their model although both the queue length and the busy cycle are seriously analyzed.
Doo Ho Lee, Bo Keun Kim
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Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9493-9523, August 2024.This paper deals with the probabilistic analysis of a class of compartmental models formulated via a system of linear differential equations with time‐dependent non‐homogeneous terms. For the sake of generality, we assume that initial conditions and rates between compartments are random variables with arbitrary distributions while the source terms ...
Vicente J. Bevia +3 more
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Results in Applied MathematicsIn this paper, we consider an Mn/PH/1 queue, where arriving customers decide whether to join the queue or not join based on the queue length at arrival instants.
Yutaka Sakuma, Yan Linn Aung
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Analysis of an MMAP/PH1, PH2/N/∞ queueing system operating in a random environment
International Journal of Applied Mathematics and Computer Science, 2014 A multi-server queueing system with two types of customers and an infinite buffer operating in a random environment as a model of a contact center is investigated. The arrival flow of customers is described by a marked Markovian arrival process.
Kim Chesoong +3 more
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