Resilience and entropy as indices of robustness of water distribution networks

The use of entropy and resilience indices for measuring robustness of water distribution networks has been investigated. The effects on network performance, caused by the failure of one or two links, have been evaluated by means of several indices for two existing medium sized water distribution networks serving two towns in southern Italy. All the possible network configurations obtained by suppressing one or two links have been studied, excluding only the cases in which disconnection of some nodes from the remaining part of the network occurred. The hydraulic simulations, carried out with a demand-driven approach by means of the EPANET2 software, have shown that, unlike entropy, resilience may represent a useful index of network robustness with regard to link failures.

[1]  Z. Geem.  Particle-swarm harmony search for water network design , 2009 .

[2]  Wah Khim Ang,et al.  Some observations on energy loss and network entropy in water distribution networks , 2003 .

[3]  Thomas M. Walski,et al.  Economic analysis of water main breaks , 1982 .

[4]  Avi Ostfeld,et al.  Reliability analysis of water distribution systems , 2004 .

[5]  Ezio Todini,et al.  Looped water distribution networks design using a resilience index based heuristic approach , 2000 .

[6]  Larry W. Mays,et al.  Optimization-availability-based design of water-distribution networks , 1992 .

[7]  J. B. Martínez.  Cost and reliability comparison between branched and looped water supply networks , 2010 .

[8]  D. H. Marks,et al.  Water Distribution Reliability: Analytical Methods , 1988 .

[9]  John W. Tukey,et al.  Exploratory Data Analysis. , 1979 .

[10]  Slobodan P. Simonovic,et al.  Optimization of Water Distribution Network Design Using Differential Evolution , 2010 .

[11]  Dragan Savic,et al.  Assessing pipe failure rate and mechanical reliability of water distribution networks using data-driven modeling , 2009 .

[12]  Tiku T. Tanyimboh,et al.  Multicriteria assessment of optimal design, rehabilitation and upgrading schemes for water distribution networks , 2009 .

[13]  Okitsugu Fujiwara,et al.  Algorithm for Reliability‐Based Optimal Design of Water Networks , 1990 .

[14]  Zoran Kapelan,et al.  Least-Cost Design of Water Distribution Networks under Demand Uncertainty , 2005 .

[15]  U. Shamir.  Optimal Design and Operation of Water Distribution Systems , 1974 .

[16]  Jose Bienvenido Martínez,et al.  Quantifying the Economy of Water Supply Looped Networks , 2007 .

[17]  Tiku T. Tanyimboh,et al.  A maximum entropy based approach to the layout optimization of water distribution systems , 2002 .

[18]  Tiku T. Tanyimboh,et al.  Modelling errors, entropy and the hydraulic reliability of water distribution systems , 2005, Adv. Eng. Softw..

[19]  K. Srinivasan,et al.  Performance‐based optimal design and rehabilitation of water distribution networks using life cycle costing , 2008 .

[20]  D. Ouazar,et al.  Reliability tester for water-distribution networks , 1996 .

[21]  Joaquim Sousa,et al.  Entropy-based Reliable Design Of WaterDistribution Networks , 2007 .

[22]  Tiku T. Tanyimboh,et al.  Peaking demand factor-based reliability analysis of water distribution systems , 2005, Adv. Eng. Softw..

[23]  Idel Montalvo,et al.  Reliability and Tolerance Comparison in Water Supply Networks , 2011 .

[24]  K. Lansey,et al.  Reliability‐Based Optimization Model for Water Distribution Systems , 1987 .

[25]  Tiku T. TANY1MBOH,et al.  A QUANTIFIED ASSESSMENT OF THE RELATIONSHIP BETWEEN THE RELIABILITY AND ENTROPY OF WATER DISTRIBUTION SYSTEMS , 2000 .

[26]  Tiku T. Tanyimboh,et al.  Calculating Maximum Entropy Flows in Networks , 1993 .

[27]  Juan Saldarriaga,et al.  Prioritised rehabilitation of water distribution networks using dissipated power concept to reduce non-revenue water , 2010 .

[28]  Armando Di Nardo,et al.  A DESIGN SUPPORT METHODOLOGY FOR DISTRICT METERING OF WATER SUPPLY NETWORKS , 2011 .

[29]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[30]  T. Devi Prasad,et al.  Multiobjective Genetic Algorithms for Design of Water Distribution Networks , 2004 .

[31]  Larry W. Mays,et al.  Model for Water Distribution System Reliability , 1990 .

[32]  U. Shamir,et al.  Design of optimal water distribution systems , 1977 .

[33]  Armando Di Nardo,et al.  A heuristic design support methodology based on graph theory for district metering of water supply networks , 2011 .

[34]  Rudy Gargano,et al.  RELIABILITY AS TOOL FOR HYDRAULIC NETWORK PLANNING , 2000 .

[35]  Dragan Savic,et al.  Evolutionary multi-objective optimization of the design and operation of water distribution network: total cost vs. reliability vs. water quality , 2006 .

[36]  I. C. Goulter,et al.  Quantitative Approaches to Reliability Assessment in Pipe Networks , 1986 .

[37]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .