A MARKOV TIME RELATED TO A PRIORITY SYSTEM

EDMOND J. VANDERPERRE

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A MARKOV TIME RELATED TO A PRIORITY SYSTEM

机译：与优先系统有关的马尔可夫时间

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We consider a basic renewable duplex system characterized by cold standby and subjected to a priority rule. Apart from a general stochastic analysis presented in the previous literature, we introduce a Markov time called the recovery time of the system. In order to obtain the corresponding Laplace-Stieltjes transform, we employ a stochastic process endowed with transition measures satisfying generalized coupled differential equations. The solution is provided by the theory of sectionally holomorphic functions.

机译：我们考虑一种基本的可再生双工系统，该系统具有冷备用特性，并且要遵循优先级规则。除了先前文献中介绍的一般随机分析之外，我们还介绍了称为系统恢复时间的马尔可夫时间。为了获得相应的Laplace-Stieltjes变换，我们采用了一种随机过程，该过程具有满足广义耦合微分方程的过渡测度。该解决方案由截面全纯函数的理论提供。

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来源
《Mathematical Problems in Engineering》 |2006年第4期|p.4.1-4.9|共9页
作者
EDMOND J. VANDERPERRE;
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作者单位

Department of Decision Sciences, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa;

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正文语种 eng
中图分类工程数学;
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1. A note on a Markov time related to a priority system [J] . STANISLAV S. MAKHANOV, EDMOND J. VANDERPERRE WSEAS Transactions on Mathematics . 2007,第9期

机译：关于优先级系统的马尔可夫时间的注释
2. A Markov time related to a priority system [J] . Edmond J.Vanderperre Mathematical Problems in Engineering: Theory, Methods and Applications . 2006,第3期

机译：与优先系统有关的马尔可夫时间
3. Improved priority assignment for global fixed priority pre-emptive scheduling in multiprocessor real-time systems [J] . Robert I. Davis, Alan Burns Real-time systems . 2011,第1期

机译：用于多处理器实时系统中全局固定优先级抢占式调度的改进优先级分配
4. Discrete-time priority queueing systems with two-state Markov modulated arrival processes [C] . Khamisy, A., Sidi, INFOCOM '91. Proceedings. Tenth Annual Joint Conference of the IEEE Computer and Communications Societies. Networking in the 90s., IEEE . 1991

机译：具有二态马尔可夫调制到达过程的离散时间优先级排队系统
5. Memory-Aware Scheduling for Fixed Priority Hard Real-Time Computing Systems [D] . Chaparro-Baquero, Gustavo. 2018

机译：固定优先级硬实时计算系统的内存感知调度
6. Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution [O] . Regina Finsterhölzl, Manuel Katzer, Andreas Knorr, 2020

机译：使用Matrix-Master状态用于开放量子的多体系统：Markovian和非马尔可维亚时演变的有效算法
7. A Markov time related to a priority system [O] . Edmond J. Vanderperre 2006

机译：与优先系统相关的马尔可夫时间

A MARKOV TIME RELATED TO A PRIORITY SYSTEM

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