Analysis of Network Reliability Characteristics and Importance of Components in a Communication Network

被引:8
作者
Bisht, Soni [1 ]
Kumar, Akshay [2 ]
Goyal, Nupur [3 ]
Ram, Mangey [4 ,5 ]
Klochkov, Yury [6 ]
机构
[1] Eternal Univ, Dept Math, Baru Sahib 173001, Himachal Prades, India
[2] Graph Era Hill Univ, Dept Math, Dehra Dun 248002, Uttarakhand, India
[3] Graph Era Deemed Univ, Dept Math, Dehra Dun 248002, Uttarakhand, India
[4] Graph Era Deemed Univ, Dept Math Comp Sci & Engn, Dehra Dun 248002, Uttarakhand, India
[5] Peter Great St Petersburg Polytech Univ, Inst Adv Mfg Technol, St Petersburg 195251, Russia
[6] Peter Great St Petersburg Polytech Univ, Acad Dev Management, St Petersburg 195251, Russia
关键词
network reliability; exponential distribution; critical components; Birnbaum importance measure; universal generating function; BIRNBAUM IMPORTANCE; SYSTEM; NODE; ALGORITHM;
D O I
10.3390/math9121347
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Network reliability is one of the most important concepts in this modern era. Reliability characteristics, component significance measures, such as the Birnbaum importance measure, critical importance measure, the risk growth factor and average risk growth factor, and network reliability stability of the communication network system have been discussed in this paper to identify the critical components in the network, and also to quantify the impact of component failures. The study also proposes an efficient algorithm to compute the reliability indices of the network. The authors explore how the universal generating function can work to solve the problems related to the network using the exponentially distributed failure rate. To illustrate the proposed algorithm, a numerical example has been taken.
引用
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页数:13
相关论文
共 39 条
[1]  
Amrutkar KP, 2017, INT J MATH ENG MANAG, V2, P150, DOI 10.33889/IJMEMS.2017.2.3-014
[2]   RELIABILITY AND IMPORTANCE MEASURES OF WEIGHTED-k-OUT-OF-n SYSTEM [J].
Amrutkar, Kalpesh P. ;
Kamalja, Kirtee K. .
INTERNATIONAL JOURNAL OF RELIABILITY QUALITY AND SAFETY ENGINEERING, 2014, 21 (03)
[3]  
[Anonymous], 2003, MULTISTATE SYSTEM RE
[4]  
[Anonymous], 1969, MULTIVARIATE ANAL
[5]   JOINT RELIABILITY-IMPORTANCE OF COMPONENTS [J].
ARMSTRONG, MJ .
IEEE TRANSACTIONS ON RELIABILITY, 1995, 44 (03) :408-412
[6]  
Bisht Soni, 2019, [Proceedings of the Jangjeon Mathematical Society, Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)], V22, P163, DOI 10.17777/pjms2019.22.1.163
[7]   Signature reliability of binary state node in complex bridge networks using universal generating function [J].
Bisht, Soni ;
Singh, S. B. .
INTERNATIONAL JOURNAL OF QUALITY & RELIABILITY MANAGEMENT, 2019, 36 (02) :186-201
[8]   MEASURES OF COMPONENT IMPORTANCE IN RELIABILITY THEORY [J].
BOLAND, PJ ;
ELNEWEIHI, E .
COMPUTERS & OPERATIONS RESEARCH, 1995, 22 (04) :455-463
[9]   The structural Birnbaum importance of consecutive-k systems [J].
Chang, HW ;
Chen, RJ ;
Hwang, FK .
JOURNAL OF COMBINATORIAL OPTIMIZATION, 2002, 6 (02) :183-197
[10]  
Colbourn C.J., 1987, COMBINATORICS NETWOR