Backup reliability assessment within tolerable packet error rate for a multi-state unreliable vertex computer network

Abstract From the viewpoint of quality of service, the packet error rate (PER) and delivery time are both of critical performance indicators to assess internet quality for supervisor and customers. A computer network is composed of Internet data centers and delivery mediums and we can regard it as a network topology with vertices and arcs. Virtually, each component (vertex or arc) has multiple capacities/states due to failure, maintenance, etc. Evaluating the reliability of a network with unreliable vertices is a difficult problem because of the disabled of adjacent arcs by vertex failure. Hence the network with unreliable vertices can be called a multi-state unreliable vertex computer network (MUVCN). Concentrating on the MUVCN, this paper addresses the data delivery from the source to the sink through k ( k ⩾ 2 ) disjoint minimal paths simultaneously, and proposes an algorithm to assess system reliability fulfilling demand constraint, tolerable PER, and time threshold. Furthermore, a routing strategy for raising system reliability is established in advance to specify the main and backup minimal paths. Subsequently, such a system reliability named the backup reliability can be computed faster.

[1]  Gen-Huey Chen,et al.  Algorithms for the constrained quickest path problem and the enumeration of quickest paths , 1994, Comput. Oper. Res..

[2]  João C. N. Clímaco,et al.  An algorithm for ranking quickest simple paths , 2005, Comput. Oper. Res..

[3]  D. T. Lee,et al.  The All-Pairs Quickest Path Problem , 1993, Inf. Process. Lett..

[4]  Ernesto de Queirós Vieira Martins,et al.  An algorithm for the quickest path problem , 1997, Oper. Res. Lett..

[5]  Angelo Perkusich,et al.  Broadcast routing in wireless sensor networks with dynamic power management and multi-coverage backbones , 2010, Inf. Sci..

[6]  John Yuan,et al.  Reliability evaluation of a limited-flow network in terms of minimal cutsets , 1993 .

[7]  Lei Guo,et al.  Availability guarantee in survivable WDM mesh networks: A time perspective , 2008, Inf. Sci..

[8]  Imrich Chlamtac Issues in Design and Measurement of Local Area Networks , 1980, Int. CMG Conference.

[9]  Charles J. Colbourn,et al.  Lower bounds on two-terminal network reliability , 1988, Discret. Appl. Math..

[10]  José M. Troya,et al.  A survey on quality of service support in wireless sensor and actor networks: Requirements and challenges in the context of critical infrastructure protection , 2011, J. Netw. Comput. Appl..

[11]  Raj Jain,et al.  Packet Trains-Measurements and a New Model for Computer Network Traffic , 1986, IEEE J. Sel. Areas Commun..

[12]  Yi-Kuei Lin,et al.  Extend the quickest path problem to the system reliability evaluation for a stochastic-flow network , 2003, Comput. Oper. Res..

[13]  João C. N. Clímaco,et al.  Internet packet routing: Application of a K , 2007, Eur. J. Oper. Res..

[14]  Yi-Kuei Lin,et al.  Reliability optimization of component assignment problem for a multistate network in terms of minimal cuts , 2011 .

[15]  Anja Feldmann,et al.  Deriving traffic demands for operational IP networks: methodology and experience , 2001, TNET.

[16]  Yen-Liang Chen,et al.  Minimum time paths in a network with mixed time constraints , 1998, Comput. Oper. Res..

[17]  Gen-Huey Chen,et al.  Distributed algorithms for the quickest path problem , 1992, Parallel Comput..

[18]  Stephen J. H. Yang,et al.  An optimal QoS-based Web service selection scheme , 2009, Inf. Sci..

[19]  Shigeki Goto,et al.  Identifying Heavy-Hitter Flows from Sampled Flow Statistics , 2007, IEICE Trans. Commun..

[20]  Zhi-Li Zhang,et al.  Adaptive random sampling for traffic load measurement , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[21]  Sheng-Tzong Cheng Topological optimization of a reliable communication network , 1998 .

[22]  Yuanlong Shen,et al.  A new simple algorithm for enumerating all minimal paths and cuts of a graph , 1995 .

[23]  Yi-Kuei Lin,et al.  System reliability of a stochastic-flow network through two minimal paths under time threshold , 2010 .

[24]  Kang G. Shin,et al.  On Accurate and Asymmetry-Aware Measurement of Link Quality in Wireless Mesh Networks , 2009, IEEE/ACM Transactions on Networking.

[25]  Hong-Zhong Huang,et al.  An efficient method for reliability evaluation of multistate networks given all minimal path vectors , 2007 .

[26]  K. Kobayashi,et al.  A new algorithm in enumerating all minimal paths in a sparse network , 1999 .

[27]  Yi-Kuei Lin Time version of the shortest path problem in a stochastic-flow network , 2009 .

[28]  Y. H. Chin,et al.  The quickest path problem , 1990, Comput. Oper. Res..

[29]  Yi-Kuei Lin,et al.  On performance evaluation for a multistate network under spare routing , 2012, Inf. Sci..

[30]  Anja Feldmann,et al.  Deriving traffic demands for operational IP networks: methodology and experience , 2000, SIGCOMM.

[31]  Wei-Chang Yeh Search for minimal paths in modified networks , 2002, Reliab. Eng. Syst. Saf..

[32]  Paul D. Amer,et al.  A Measurement Center for the NBS Local Area Computer Network , 1982, IEEE Transactions on Computers.

[33]  Terje Aven,et al.  Reliability Evaluation of Multistate Systems with Multistate Components , 1985, IEEE Transactions on Reliability.

[34]  Amjed M. Al-Ghanim,et al.  A heuristic technique for generating minimal path and cutsets of a general network , 1999 .

[35]  Yen-Liang Chen,et al.  An algorithm for finding the k quickest paths in a network , 1993, Comput. Oper. Res..

[36]  Yi-Kuei Lin,et al.  Using minimal cuts to optimize network reliability for a stochastic computer network subject to assignment budget , 2011, Comput. Oper. Res..

[37]  Xue Janan,et al.  On Multistate System Analysis , 1985, IEEE Transactions on Reliability.

[38]  Soondal Park,et al.  A label-setting algorithm for finding a quickest path , 2004, Comput. Oper. Res..

[39]  Wei-Chang Yeh,et al.  A simple minimal path method for estimating the weighted multi-commodity multistate unreliable networks reliability , 2008, Reliab. Eng. Syst. Saf..

[40]  Chin-Chia Jane,et al.  On reliability evaluation of a capacitated-flow network in terms of minimal pathsets , 1995, Networks.

[41]  Y. L. Chen,et al.  Finding the k Quickset Simple Paths in a Network , 1994, Inf. Process. Lett..