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Assessment of reliability in water distribution networks using entropy based measures

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Abstract

Entropy based expressions for measurement of reliability and redundancy have recently been reported. These measures approach assessment of the reliability of the distribution network from the intrinsic redundancy of the network layout. The paper extends earlier work on entropy functions by including a more explicit statement of the alternate paths available in the network and by recognizing that under certain circumstances, e.g., failure of some part of the network work, an outflow link from a node under normal working condition may become an inflow link to the same node. The measures are assessed by comparison with parameters measuring Nodal Pair Reliability and percentage of flow supplied at adequate pressure for a range of networks and link failure conditions in this networks. The entropy measures are shown to reflect changes in the network reliability, as measured by these two comparative parameters, very well.

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References

  • Aggarwal, K.K.; Gupta, J.S.; Misra, K.B. 1973: A new method for system reliability evaluation. Microelectronics and Reliability 13, 885–900

    Google Scholar 

  • Awumah, K.; Goulter, I.; Bhatt, S.K. 1989: Entropy approach to redundancy and reliability assessment of water distribution networks. Water Resources Res. Report No. 12, Dept. of Civil Engineering, University of Manitoba, Winnipeg, Canada

    Google Scholar 

  • Awumah, K.; Goulter, I. 1989: Redundancy and reliability of water distribution networks: An entropy based approch. In: Ports, M. (ed.) Proceedings of 1989 ASCE National Conference on Hydraulic Engineering, pp. 768–773, New Orleans, August 14–18

  • Biem G.K.; Hobbs, B. 1988: Analytical simulation of water system capacity reliability, 2, A Markov-chain approach and verification of the models. Water Resources Research 24, 1445–1459

    Google Scholar 

  • Jacobs, P.; Goulter, I. 1988: Evaluation of methods for decomposition of water distribution networks for reliability analysis. Civil Engineering Systems 5, 58–64

    Google Scholar 

  • Jacobs, P., Goulter, I. 1989: Optimization of redundancy in water distribution networks using graph theoretic principles. Engineering Optimization 14, 71–82

    Google Scholar 

  • Germanopoulis, G.; Jowitt, P.W.; Lumbers, J.P 1986: Assessing the reliability of supply and level of service for water distributing systems. Proceedings of the Institution of Civil Engineers, Part I 80, 414–428

  • Goulter, I. 1987: Current and future use of systems analysis in water distribution networks design. Civil Engineering Systems 4, 175–184

    Google Scholar 

  • Goulter, I. 1988: Measures of inherent redundancy in water distribution networks layouts. J. of Information and Optimization Sciences 9, 363–390

    Google Scholar 

  • Goulter, I.; Bouchart, F. 1990: Reliability constrained pipe network model. J. of the Hydraulic Div., ASCE. 116 (2), 211–229

    Google Scholar 

  • Goulter, I.; Morgan., D.R. 1985: An integrated approach to the layout and design of water distribution networks. Civil Engineering Systems 2 (2, 104–113

    Google Scholar 

  • Hobbs, B.; Biem, G.K. 1988: Analytical simulation of water supply capacity reliability, 1, Modified frequency duration analysis. Water Resources Research 24, 1431–1444

    Google Scholar 

  • Kim, Y.H.; Case, K.E.; Ghare, P.M. 1972: A method of computing complex system reliability. IEEE Trans. on Reliability R-12, 215–219

    Google Scholar 

  • Kumar, V. 1987: Entropic measure of manufacturing flexibility. International J. of Production Research 25, 957–966

    Google Scholar 

  • Lansey, K.E.; Duan, N.; Mays, L.W.; Tung, Y-K. 1989: Water distribution system under uncertainties. J. of the Water Resources Planning and Management. Div., ASCE. 115, 630–657

    Google Scholar 

  • Misra, K.B. 1970: An algorithm for reliability evaluation of redundancy networks. IEEE Transactions on Reliability 25, 957–966

    Google Scholar 

  • Quimpo, R.G.; Shamsi, U. 1988: Network reliability for water distribution system management. Proceedings of the 5th IAHR Symposium on Stochastic Hydraulics, University of Birmingham, U.K, August 2–4

  • Shannon, C.E. 1948: A mathematical theory of communication. Bell System Technical J. 27, 379–423 and 623–659

    Google Scholar 

  • Su, Y.; Mays, L.; Duan, N.; Lansey, K.E. 1987: Reliability based optimization model for water distribution systems. J. of the Hydraulics Div., ASCE. 114, 1539–1555

    Google Scholar 

  • Walters, G. 1988: Optimal design of pipe networks: A review. Proceedings of the 1st Int. Conf. on Computers and Water Resources, Morocco, Vol 2, pp. 21–32, Computational Mechanics Publications, Southhampton, U.K.

    Google Scholar 

  • Wagner, J.; Shamir, U.; Marks, D. 1988a: Water distribution reliability: Analytical, methods. J. of the Water Resources Planning and Management. Div., ASCE 114, 253–275

    Google Scholar 

  • Wagner, J.; Shamir, U.; Marks, D. 1988b: Water distribution reliability: Simulation methods. J. of the Water Resources Planning and Management. Div., ASCE 114, 276–294

    Google Scholar 

  • Yao, D.D. 1985: Material flow and information flow in flexible manufacturing systems. Material Flow 2, 143–149

    Google Scholar 

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Awumah, K., Goulter, I. & Bhatt, S.K. Assessment of reliability in water distribution networks using entropy based measures. Stochastic Hydrol Hydraul 4, 309–320 (1990). https://doi.org/10.1007/BF01544084

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