排队模型中的输出流分析,使用工作假期机制作为减少功率的策略
Martyna Kobielnik1, Wojciech M Kempa1
1Department of Mathematical Methods in Technology and Informatics, Faculty of Applied Mathematics, Silesian University of Technology, Gliwice, Poland.
PloS one
|January 27, 2026
概括
本研究分析了一种带有工作假期机制的排队模型,提供了对离职过程的见解. 调查结果揭示了抵达之间的分布和假期持续时间如何影响系统性能.
科学领域:
- 运营研究 运营研究
- 应用概率学 应用概率学
- 排队理论 排队理论
背景情况:
- 排队模型对于分析各种系统中的等候队是必不可少的.
- 工作假期模式引入了服务器以减少容量运行或置的时间.
- 了解出发过程对于系统效率和性能评估至关重要.
研究的目的:
- 分析排队系统的出发过程,并使用工作假期机制.
- 为拉普拉斯变换引出出发过程生成函数的显式解.
- 计算所服务的职位的时间依赖平均数.
主要方法:
- 使用排队模型,具有一般独立的输入流和指数级服务时间.
- 导出生成函数的拉普拉斯变换的显式解.
- 采用数值拉普拉斯变换反转用于时间依赖分析.
主要成果:
- 确定了起始过程生成函数的拉普拉斯变换的明确解决方案.
- 服务的职位的时间依赖的平均数量是使用数值反转计算的.
- 数字示例说明了输出流对各种模型参数的行为.
结论:
- 出发过程受到到达之间的分布和工作假期参数的显著影响.
- 该研究为分析有服务器休假的队列系统提供了一个框架.
- 结果为优化系统性能在间歇性服务可用性的场景中提供了有价值的见解.
相关概念视频
Stream Function
2.1K
In two-dimensional incompressible fluid flow, the continuity equation is essential for ensuring mass conservation, meaning that any change in fluid entering or exiting a region is balanced by a corresponding change elsewhere. For incompressible flow, where density remains constant, this requirement simplifies to the condition that the divergence of the velocity field must be zero. Mathematically, this is expressed as,
2.1K
Benzene to 1,4-Cyclohexadiene: Birch Reduction Mechanism
2.7K
Birch reduction uses solvated electrons as reducing agents. The reaction converts benzene to 1,4-cyclohexadiene. The reaction proceeds by the transfer of a single electron to the ring to form a benzene radical anion. This anion is highly basic—it abstracts a proton from the alcohol to form a cyclohexadienyl radical. Another single electron transfer gives the cyclohexadienyl anion. A proton transfer from the alcohol forms 1,4-cyclohexadiene. Since this reduction occurs via radical anion...
2.7K
The Quantum-Mechanical Model of an Atom
57.1K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
57.1K
Cardiac Output II: Effect of Stroke Volume on Cardiac Output
3.3K
Cardiac output (CO), the amount of blood the heart pumps per minute, is a parameter in cardiovascular physiology determined by stroke volume and heart rate. Stroke volume, the amount of blood pushed from one of the ventricles per heartbeat, is influenced by preload, afterload, and contractility.
Preload
Preload refers to the initial elongation of the cardiac myocytes before contraction and is related to the volume of blood filling the heart at the end of diastole, or end-diastolic volume. The...
Preload
Preload refers to the initial elongation of the cardiac myocytes before contraction and is related to the volume of blood filling the heart at the end of diastole, or end-diastolic volume. The...
3.3K
Nuclear Power
9.5K
Controlled nuclear fission reactions are used to generate electricity. Any nuclear reactor that produces power via the fission of uranium or plutonium by bombardment with neutrons has six components: nuclear fuel consisting of fissionable material, a nuclear moderator, a neutron source, control rods, reactor coolant, and a shield and containment system.
Nuclear Fuels
Nuclear fuel consists of a fissile isotope, such as uranium-235, which must be present in sufficient quantity to provide a...
Nuclear Fuels
Nuclear fuel consists of a fissile isotope, such as uranium-235, which must be present in sufficient quantity to provide a...
9.5K
Oxidation-Reduction Reactions
75.5K
Oxidation–Reduction Reactions
75.5K


