Математика список научных статей

Several lifetime distributions have been developed in literature to handle different real-world scenario. Most of these distributions were developed to model a unimodal (symmetric or asymmetric) data. Only a hand-full of these distributions exhibits a bimodal property. This paper explores a new...

This paper presents a novel two-warehouse inventory model for degrading products, where the demand rate is governed over time by a generalized exponential function. Two real-world supply chain challenges that are taken into account in the model are the economic effects of inflation and partial...

Statistical distributions are essential tools for describing and predicting real-world phenomena, though recent advancements in data collection have made it challenging to fit existing probability models to many practical datasets. While non-parametric models are sometimes recommended, parametric...

In this paper, we analyze a single server markovian queueing model with encouraged arrivals that undergoes a single working vacation. Additionally, we consider the impatience and reneging behavior of customers in the queue during the working vacation period. Customers arrive at the system following ...

In this manuscript, we propose a new extension of the Rayleigh distribution, named as Ratio Transformation Rayleigh Distribution (RTRD), which offers superior fits compared to the Rayleigh distribution and several of its known generalizations. We derive various properties of the proposed...

In this paper, we introduce the Marshall–Olkin extended Shanker distribution, as an extension of the Shanker distribution, using the Marshall-Olkin approach. Several important properties of the new distribution, such as the hazard rate function, moments, incomplete moments, mean deviations, Lorenz...

This article examines the reliability and risks associated with technical systems involved in the conversion of mechanical energy to electrical energy, focusing on the thermal dynamics of electric machines. It explores the processes of heat generation due to energy losses, primarily heat...

Most of the pharmaceutical firms have worked hard to maintain quality in their manufacturing products like medicines and biological instruments using the principles of statistical quality control to optimize the fault model. In this field, one of the pioneering statistical methods is acceptance...

This paper analyzes an unreliable multi-server queueing system incorporating working vacations, Bernoulli interruptions, breakdowns with a threshold recovery policy, balking, abandonment, and retention. During the break period, if there are customers in the queue, the servers may either resume...

In this article explores two approaches for estimating the parameters of the exponentiated inverse Rayleigh distribution (EIRD) using record values: Classical estimation and Bayesian estimation. In classical estimation, maximum likelihood estimators (MLE’s) and the asymptotic confidence intervals...

In this article, we introduced a new three parameter continuous probability model by extending a two parameter log-logistic distribution using the quadratic rank transmutation map technique. We provide a comprehensive description of the statistical properties of the newly introduced model. Robust...

The assignment problem is a key challenge in optimization and operations research, finding applications in diverse real-world scenarios. The Hungarian method is a widely employed algorithm for solving this problem, especially in its balanced form. However, for unbalanced assignment problems, where...

This paper investigates the application of Leimkuhler curve and doubly truncated distributions in informetrics. Leimkuhler curve, ranking sources in descending order, emerges as a key tool for identifying efficient information sources. The study introduces a random variable representing the age of...

The number of children ever born is an important measure for understanding fertility patterns, which impact demographic structures and population growth. The problem relates to the modeling of count data that includes the truncation of zero values, specifically focusing on women who have...

An M/G/1 retrial queue with working vacation, non persistent customers and a waiting server is taken into consideration in this study. Both retrial times and service times are assumed to follow general distribution and the waiting server follows an exponential distribution. Before switching over to ...

This article constructs a Repetitive Sampling Inspection Plan under Truncated life test (RSIPTL) when the lifetime follows the One Parameter Polynomial Exponential (OPPE) family of distributions. In RSIPTL, a lot can be accepted or rejected in the first, second, and so on, based on the number of...

В работе рассматривается численное решение кинетического уравнения Больцмана с помощью метода дискретных скоростей и метода MUSCL с ограничителем наклона градиента Бергер, который позволяет устранить нефизические колебания, связанные с резким и внезапным изменением найденных величин вблизи фронта...

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В работе представлен алгоритм решения систем линейных алгебраических уравнений (СЛАУ) методом сопряженных градиентов на графическом процессоре. В качестве основного инструмента реализации предложен класс-контейнер для работы с матрицами на базе технологии NVIDIA CUDA. Производительность решения...

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В работе рассмотрено численное моделирование нестационарного истечения газа через микроскопическое отверстие в пространство, заполненное равновесным газом с учетом эффектов сильной неравновесности и разреженности. Кинетическое уравнение Больцмана для функции распределения в форме БГК решается...

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Любые имеющиеся неоднородности и нелинейности тел, объектов разной природы могут быть описаны с помощью фрактального анализа. При этом пристальное внимание исследователей привлекает фрактальная физиология, так как человеческий организм, а также сложные динамические процессы, происходящие в нем,...

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