A new BAT for Acyclic Multistate Information Network Reliability Evaluation

The acyclic multistate information network (AMIN), which is a kind of MIN that does not require the conservation law of flow, plays an important role nowadays because many modern network structures present AMIN as the construction such as social networks, local area networks (LANs), 4G/5G networks, etc. To effectively evaluate the network reliability of AMIN, which indicates the reliable operation of the network, showing a major and primary metrics for determining the performance and quality of the overall network. The network reliability, which has been shown a NP-hard, has been successfully resolved and approached by the universal generation function method (UGFM). However, the UGFM can only solve small-scale problems due to the overflow in computer memory. To overcome the memory obstacle, an improved and enhanced binary-addition vectors tree algorithm (BAT) is proposed to effectively evaluate and analyze the reliability of AMIN. The performance of the proposed BAT is validated on examples.

[1]  Ted K. Ralphs,et al.  Integer and Combinatorial Optimization , 2013 .

[2]  Gregory Levitin,et al.  A universal generating function approach for the analysis of multi-state systems with dependent elements , 2004, Reliab. Eng. Syst. Saf..

[3]  Wei-Chang Yeh,et al.  A Greedy Branch-and-Bound Inclusion-Exclusion Algorithm for Calculating the Exact Multi-State Network Reliability , 2008, IEEE Transactions on Reliability.

[4]  Wei-Chang Yeh,et al.  A simple universal generating function method for estimating the reliability of general multi-state node networks , 2008 .

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

[6]  Gregory Levitin.  Reliability of acyclic multi-state networks with constant transmission characteristics of lines , 2002, Reliab. Eng. Syst. Saf..

[7]  Gregory Levitin,et al.  Multi-State System Reliability - Assessment, Optimization and Applications , 2003, Series on Quality, Reliability and Engineering Statistics.

[8]  Ming J. Zuo,et al.  A New Subtraction-Based Algorithm for the d-MPs for All d Problem , 2019, IEEE Transactions on Reliability.

[9]  Wei-Chang Yeh,et al.  A New Universal Generating Function Method for Solving the Single $(d, \tau)$-Quick-Path Problem in Multistate Flow Networks , 2012, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[10]  Wei-Chang Yeh.  A Convolution Universal Generating Function Method for Evaluating the Symbolic One-to-All-Target-Subset Reliability Function of Acyclic Multi-State Information Networks , 2009, IEEE Transactions on Reliability.

[11]  Wei-Chang Yeh,et al.  Binary-Addition Tree Algorithm-Based Resilience Assessment for Binary-State Network Problems , 2020 .

[12]  Fangming Shao,et al.  A Diameter-Constrained Approximation Algorithm of Multistate Two-Terminal Reliability , 2018, IEEE Transactions on Reliability.

[13]  Wei-Chang Yeh,et al.  A Particle Swarm Optimization Approach Based on Monte Carlo Simulation for Solving the Complex Network Reliability Problem , 2010, IEEE Transactions on Reliability.

[14]  Kailash C. Kapur,et al.  Reliability Bounds for Multistate Systems with Multistate Components , 1985, Oper. Res..

[15]  Wei-Chang Yeh.  New Method in Searching for All Minimal Paths for the Directed Acyclic Network Reliability Problem , 2016, IEEE Transactions on Reliability.

[16]  Wei-Chang Yeh.  Novel Binary-Addition Tree Algorithm (BAT) for Binary-State Network Reliability Problem , 2020, ArXiv.

[17]  Wei-Chang Yeh.  The Extension of Universal Generating Function Method to Search for All One-to-Many $d$ -Minimal Paths of Acyclic Multi-State-Arc Flow-Conservation Networks , 2008, IEEE Transactions on Reliability.

[18]  David W. Coit,et al.  A generalized multistate-based path vector approach to multistate two-terminal reliability , 2006 .

[19]  Zhifeng Hao,et al.  Multi-distribution multi-commodity multistate flow network model and its reliability evaluation algorithm , 2020, Reliab. Eng. Syst. Saf..

[20]  YangQuan Chen,et al.  Optimal Mobile Sensing and Actuation Policies in Cyber-physical Systems , 2011 .

[21]  John Erik Hershey,et al.  Fast algorithm for computing the reliability of a communication network , 1991 .

[22]  Wei-Chang Yeh,et al.  A Novel Label Universal Generating Function Method for Evaluating the One-to-all-Subsets General Multistate Information Network Reliability , 2011, IEEE Transactions on Reliability.

[23]  Gregory Levitin.  Reliability evaluation for acyclic transmission networks of multi-state elements with delays , 2003, IEEE Trans. Reliab..

[24]  Michael O. Ball,et al.  Complexity of network reliability computations , 1980, Networks.

[25]  Wei-Chang Yeh.  An Improved Sum-of-Disjoint-Products Technique for Symbolic Multi-State Flow Network Reliability , 2015, IEEE Transactions on Reliability.

[26]  Wei-Chang Yeh,et al.  A novel node-based sequential implicit enumeration method for finding all d-MPs in a multistate flow network , 2015, Inf. Sci..

[27]  Wei-Chang Yeh.  The k-out-of-n acyclic multistate-node networks reliability evaluation using the universal generating function method , 2006, Reliab. Eng. Syst. Saf..

[28]  Wei-Chang Yeh,et al.  A novel boundary swarm optimization method for reliability redundancy allocation problems , 2018, Reliab. Eng. Syst. Saf..

[29]  R. Billinton,et al.  Unreliability Cost Assessment of an Electric Power System Using Reliability Network Equivalent Approaches , 2002, IEEE Power Engineering Review.

[30]  Wei-Chang Yeh.  Evaluating the reliability of a novel deterioration-effect multi-state flow network , 2013, Inf. Sci..

[31]  Ziyou Gao,et al.  An improved algorithm for solving all d-MPs in multi-state networks , 2017 .

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

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

[34]  Seth Pettie,et al.  A new approach to all-pairs shortest paths on real-weighted graphs , 2004, Theor. Comput. Sci..

[35]  Wei-Chang Yeh,et al.  Reliability Evaluation of Multi-State Quick Path Flow Networks , 2013 .

[36]  Bin Sun,et al.  A New Node-Based Concept for Solving the Minimal Path Problem in General Networks , 2019, IEEE Access.

[37]  Neeraj Kumar Goyal,et al.  On Area Coverage Reliability of Mobile Wireless Sensor Networks With Multistate Nodes , 2020, IEEE Sensors Journal.

[38]  Wei-Chang Yen.  A Simple Heuristic Algorithm for Generating All Minimal Paths , 2007, IEEE Transactions on Reliability.

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

[40]  Wei-Chang Yeh.  Evaluation of the one-to-all-target-subsets reliability of a novel deterioration-effect acyclic multi-state information network , 2017, Reliab. Eng. Syst. Saf..

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

[42]  Wei-Chang Yeh,et al.  A novel multi-distribution multi-state flow network and its reliability optimization problem , 2018, Reliab. Eng. Syst. Saf..

[43]  Neeraj Kumar Goyal,et al.  Minimal Path-Based Reliability Model for Wireless Sensor Networks With Multistate Nodes , 2020, IEEE Transactions on Reliability.

[44]  David W. Coit,et al.  Composite importance measures for multi-state systems with multi-state components , 2005, IEEE Transactions on Reliability.

[45]  H. P. Lin,et al.  Two-level, multistate Markov model for satellite propagation channels , 2004 .

[46]  Shaojie Tang,et al.  Finding Best and Worst k-Coverage Paths in Multihop Wireless Sensor Networks , 2013, IEEE Transactions on Parallel and Distributed Systems.

[47]  Wei-Chang Yeh.  An improved sum-of-disjoint-products technique for the symbolic network reliability analysis with known minimal paths , 2007, Reliab. Eng. Syst. Saf..

[48]  Xiangjian He,et al.  A New Universal Generating Function Method for Estimating the Novel Multiresource Multistate Information Network Reliability , 2010, IEEE Transactions on Reliability.

[49]  Wei-Chang Yeh,et al.  Fast Algorithm for Searching $d$ -MPs for all Possible $d$ , 2018, IEEE Transactions on Reliability.

[50]  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..

[51]  A-L Barabási,et al.  Structure and tie strengths in mobile communication networks , 2006, Proceedings of the National Academy of Sciences.

[52]  Xueying Song,et al.  Sensitivity Analysis of Multi-State Social Network System Based on MDD Method , 2019, IEEE Access.

[53]  Wei-Chang Yeh,et al.  Solving cold-standby reliability redundancy allocation problems using a new swarm intelligence algorithm , 2019, Appl. Soft Comput..

[54]  Longbing Cao,et al.  A cellular automata hybrid quasi-random Monte Carlo simulation for estimating the one-to-all reliability of acyclic multi-state information networks , 2012 .

[55]  Gregory Levitin,et al.  The Universal Generating Function in Reliability Analysis and Optimization , 2005 .

[56]  Ming Jian Zuo,et al.  Ordering Heuristics for Reliability Evaluation of Multistate Networks , 2015, IEEE Transactions on Reliability.

[57]  Wei-Chang Yeh,et al.  A Sequential Decomposition Method for Estimating Flow in a Multi-Commodity, Multistate Network , 2011, IEEE Transactions on Reliability.

[58]  Wei-Chang Yeh,et al.  A Novel Cut-Based Universal Generating Function Method , 2013, IEEE Transactions on Reliability.

[59]  Marc Demange,et al.  A robust p-Center problem under pressure to locate shelters in wildfire context , 2020, EURO J. Comput. Optim..

[60]  Jing Wang,et al.  A Quick Inclusion-Exclusion technique , 2019, Inf. Sci..

[61]  W.-C. Yeh.  A novel method for the network reliability in terms of capacitated-minimum-paths without knowing minimum-paths in advance , 2005, J. Oper. Res. Soc..

[62]  Wei-Chang Yeh,et al.  A new cut-based algorithm for the multi-state flow network reliability problem , 2015, Reliab. Eng. Syst. Saf..

[63]  Wei-Chang Yeh,et al.  Performance analysis of cellular automata Monte Carlo Simulation for estimating network reliability , 2010, Expert Syst. Appl..

[64]  Wei-Chang Yeh.  Multistate network reliability evaluation under the maintenance cost constraint , 2004 .

[65]  Wei-Chang Yeh,et al.  A Simple Universal Generating Function Method to Search for All Minimal Paths in Networks , 2009, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[66]  Wei-Chang Yeh.  A Simple Method to Verify All d-Minimal Path Candidates of a Limited-Flow Network and its Reliability , 2002 .

[67]  Claudio M. Rocco Sanseverino,et al.  Assessment of the transition-rates importance of Markovian systems at steady state using the unscented transformation , 2015, Reliab. Eng. Syst. Saf..

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

[69]  Wei-Chang Yeh,et al.  A Modified Universal Generating Function Algorithm for the Acyclic Binary-State Network Reliability , 2012, IEEE Transactions on Reliability.

[70]  Wei-Chang Yeh.  A Fast Algorithm for Quickest Path Reliability Evaluations in Multi-State Flow Networks , 2015, IEEE Transactions on Reliability.