Analysis of customer’s impatience in queues with Bernoulli schedule server working vacations and vacation interruption

Majid, Shakir

doi:10.1007/s13370-021-00941-2

Afr. Mat.

2022

DOI: 10.1007/s13370-021-00941-2

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Analysis of customer’s impatience in queues with Bernoulli schedule server working vacations and vacation interruption

Shakir Majid¹

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Cited by 3 publications

References 24 publications

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LRS Bianchi type I with anisotropic bulk viscosity matter cosmological typical and quadratic deceleration parameter in $$f(R,\sum ,T)$$ gravity

Alkaoud,

Bakry,

Eid

et al. 2024

Indian J Phys

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LRS Bianchi type I with anisotropic bulk viscosity matter cosmological typical and quadratic deceleration parameter in $$f(R,\sum ,T)$$ gravity

Alkaoud,

Bakry,

Eid

et al. 2024

Indian J Phys

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Modern technique to study Cauchy-type problem of fractional variable order differential equations with infinite delay via phase space

Benaouda,

Sabit,

Günerhan

et al. 2024

Mod. Phys. Lett. B

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In this paper, we use a novel approach to study the existence, uniqueness, and stability of solutions (EUSS) to a Cauchy-type problem of nonlinear fractional differential equations (FrDiEq) of variable order with infinite delay (CPNFDEVOID). Contrary to the techniques taken in the literature, which were centered on the usage of the concept of generalized intervals and the idea of piecewise constant functions, our approach is straightforward and based on a novel fractional operator that is more appropriate and demonstrates the solvability and stability of the main problem under less restrictive presumptions. The results are achieved in this paper by using Fixed Point Theory (FPT). The application, which includes an example and supporting images, concludes the paper.

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Barrow holographic dark energy models in f(Q) symmetric teleparallel gravity with Lambert function distribution

Koussour

Shekh

Filali

et al. 2022

Int. J. Geom. Methods Mod. Phys.

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The paper presents Barrow holographic dark energy (infrared cut-off is the Hubble horizon) suggested by Barrow [The area of a rough black hole, Phys. Lett. B 808 (2020) 135643] recently in an anisotropic Bianchi type-I Universe within the framework of [Formula: see text] symmetric teleparallel gravity, where the non-metricity scalar [Formula: see text] is responsible for the gravitational interaction. We consider two cases: Interacting and non-interacting models of pressureless dark matter and Barrow holographic dark energy by solving [Formula: see text] symmetric teleparallel field equations. To find the exact solutions of the field equations, we assume that the time-redshift relation follows a Lambert function distribution as [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text] are non-negative constants and [Formula: see text] represents the age of the Universe. Moreover, we discuss several cosmological parameters such as energy density, equation of state (EoS) and skewness parameters, squared sound speed, and [Formula: see text] plane. Finally, we found the values of the deceleration parameter (DP) for the Lambert function distribution as [Formula: see text] and [Formula: see text] which are consistent with recent observational data, i.e. DP evolves with cosmic time from initial deceleration to late-time acceleration.

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Analysis of customer’s impatience in queues with Bernoulli schedule server working vacations and vacation interruption

Cited by 3 publications

References 24 publications

LRS Bianchi type I with anisotropic bulk viscosity matter cosmological typical and quadratic deceleration parameter in $$f(R,\sum ,T)$$ gravity

LRS Bianchi type I with anisotropic bulk viscosity matter cosmological typical and quadratic deceleration parameter in $$f(R,\sum ,T)$$ gravity

Modern technique to study Cauchy-type problem of fractional variable order differential equations with infinite delay via phase space

Barrow holographic dark energy models in f(Q) symmetric teleparallel gravity with Lambert function distribution

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