基于有限马尔可夫链嵌入法的智慧路灯系统联合Signature计算  

Computation of Joint Signature for A Smart Street Light System Based on Finite Markov Chain Imbedding Approach

作　　者：易鹤 李想[1] 路靖雯 YI He;LI Xiang;LU Jingwen(School of Economics and Management,Beijing University of Chemical Technology,Beijing 100029,China)

机构地区：[1]北京化工大学经济管理学院,北京100029

出　　处：《运筹与管理》2023年第9期79-85,共7页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(72001016,71931001,71722007)。

摘　　要：智慧路灯是现代化建设背景下的重要基础设施载体,集照明设备和传感设备于一体,并且可以根据实际应用的场景布放各种功能模块。城市管理部门需要根据不同路段的车道类型,选择适合的路灯型号和铺设方式。为了描述路段上由智慧路灯构成的可靠性系统的结构特性,本文构建了共用部件的线形n中取连续k型冗余系统模型,并针对这类系统给出了基于有限马尔可夫链嵌入法的联合Signature计算方法。和基于定义的方法相比,该方法有统一的表达式,不仅提高了计算效率,还降低了计算的复杂度。最后,本文通过算例演示了该方法的运算效率,并讨论了其可能的应用与改进。With the development of science and technology,equipment systems gradually present the characteristics of large-scale and complicated,which greatly increases the system failure risk,and the system reliability problem begins to attract people’s attention.As a public infrastructure carrier integrating lighting equipment and sensing equipment,smart street lights can collect road data in real time and monitor road conditions through various sensors,and they can also manage vehicle flow in real time through lighting equipment,which is of great significance to the planning and construction of smart cities in China.Smart street lights can deploy different lighting modules and sensing modules according to the actual application scenario to achieve different functions such as lighting,advertising(LED screen),broadcasting(sound column),Wi-Fi,monitoring and alarm,and these modules may have different demand amounts and coverage.The city management department needs to choose the appropriate street light type and laying method according to the lane type of different road segments.In recent years,there have been numerous studies on smart street light systems at home and abroad,including system hardware and software design and implementation,energy saving strategies and control algorithms,related technical means and empirical research and so on.At present,researchers have realized the importance of reliability in the study of smart street light systems,but there is still a large gap in the system modeling and analysis based on reliability.In fact,for a smart street light system on a certain road segment,in order to study the related reliability problems,it can be regarded as several linear consecutive-k-out-of-n type redundant systems sharing components.In order to better characterize the structural properties of such systems,this paper presents a computational method for joint signature of two linear consecutive-k-out-of-n type redundant systems sharing components based on the finite Markov chain imbedding approach(FMCIA).Thi

关 键 词：联合Signature n中取连续k型系统 有限马尔可夫链嵌入法 智慧路灯 

分 类 号：O213.2[理学—概率论与数理统计]