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Optimization in water distribution systems engineering

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Engineering Optimization

Part of the book series: Mathematical Programming Studies ((MATHPROGRAMM,volume 11))

Abstract

The structure and operation of water distribution systems is explained briefly, and the basic mathematical tools used to analyze their physical behaviour are outlined. Methods for optimal planning, design and operation are presented and discussed. They are grouped according to the engineering problem which they address and to the method of solution. This survey is given at a level of detail which should suffice to understand each method and appreciate its potential and deficiencies. For more detail, or for actual implementation one has to refer back to the original works, which are listed at the end of the paper.

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References

  1. J. Abadie, “Application of the GRG algorithm to optimal control problems”, in: J. Abadie ed., Integer and Nonlinear Programming (North-Holland, Amsterdam, 1970) 191–211.

    Google Scholar 

  2. E. Alperovits and U. Shamir, “Design of optimal water distribution systems”, Water Resources Research 13 (6) (1977) 885–900.

    Article  Google Scholar 

  3. M.J. Box, “A Comparison of several current optimization methods, and the use of trans-formations in constrained problems”, The Computer Journal 9 (1966) 67–77.

    MATH  MathSciNet  Google Scholar 

  4. R.G. Cembrowicz and J.J. Harrington, “Capital-cost minimization of hydraulic network”, Proceedings of the ASCE 99 (HY3) (1973) 431–440.

    Google Scholar 

  5. A.K. Deb, “Least cost design of branched pipe network systems”, Proceedings of the ASCE 100 (EE4) (1974) 821–835.

    Google Scholar 

  6. A.K. Deb, “Optimization of water distribution network systems” Proceedings of the ASCE 102 (EE4) (1976) 827–851.

    Google Scholar 

  7. A.K. Deb and A.K. Sarkar, “Optimization in design of hydraulic networks”, Proceedings of the ASCE 97 (SA2) (1971) 141–159.

    Google Scholar 

  8. R. DeMoyer, H.D. Gilman and M.Y. Goodman, “Dynamic computer simulation and control methods for water distribution systems”, Final Report by General Electric to the Office of Water Resources Research, Contract No. 14-31-0001-3734 (1973) 243.

    Google Scholar 

  9. R. DeMoyer and L.B. Horwitz, A systems approach to water distribution modeling and control (Lexington Books, 1975) 143.

    Google Scholar 

  10. R. de Neufville, J. Schaake and J.H. Stafford, “Systems analysis of water distribution networks”, Proceedings of the ASCE 97 (SA6) (1971) 825–842.

    Google Scholar 

  11. Y. Dreizin, N. Arad, U. Shamir and H. Matmon, “Evaluation of energy saving in regional water systems” (in Hebrew), Report 131. 105, Research and Desalination Div., Mekorot Water Co., Israel, (1971).

    Google Scholar 

  12. F. Fallside and P.F. Perry, “Decentralized optimum control methods for water distribution systems optimization” CUED/B-ELEC/TR31, Department of Engineering, University of Cambridge (1974).

    Google Scholar 

  13. F. Fallside and P.F. Perry, “Hierarchical optimization of a water supply Network”, Proceeding of the IEEE 122 (2) (1975) 202–208.

    Google Scholar 

  14. R. Fletcher and M.J.D. Powell, “A rapidly convergent descent method for minimization”, The Computer Journal 6 (1963) 163–168.

    MATH  MathSciNet  Google Scholar 

  15. R. Fletcher and C.M. Reeves, “Function minimization by conjugate gradients, The Computer Journal 7 (1964) 149–154.

    Article  MATH  MathSciNet  Google Scholar 

  16. I. Gupta, “Linear programming analysis of a water supply system”, AIIE Transactions 1 (1) (1969) 56–61.

    Google Scholar 

  17. I. Gupta, M.Z. Hassan and J. Cook, “Linear programming analysis of a water supply system with multiple supply Points”, AIIE Transactions 4 (3) (1972) 200–204.

    Google Scholar 

  18. P.C. Haarhoff and J.D. Buys, “A new method for the optimization of a nonlinear function subject to nonlinear constraints”, The Computer Journal 13(2) (1970) 178–184.

    Article  MATH  MathSciNet  Google Scholar 

  19. D. Hamberg, “Optimal locations of pumping stations in a braching network”, (in Hebrew), M.Sc. Thesis, Faculty of Civil Engineering, Technion-Israel Inst. of Tech. (1974).

    Google Scholar 

  20. S.L.S. Jacoby, “Design of Optimal Hydraulic Networks”, Proceedings of the ASCE 94 (HY3) (1968) 641–661.

    Google Scholar 

  21. E. Kally, “Pipeline planning by dynamic computer programming”, Journal AWWA 61(3) (1969) 114–118.

    Google Scholar 

  22. E. Kally, “Automatic planning of the least-cost water distribution network”, Water and Water Engineering 75 (902) (1971) 148–152.

    Google Scholar 

  23. E. Kally, “Computerized planning of the least-cost water distribution network”, Water and Sewage Works Reference 1972, R121 to R127.

    Google Scholar 

  24. D Karmeli, Y. Gadish and S. Meyers, “Design of optimal water distribution networks”, Proceedings of the ASCE (94) (PL1) (1968).

    Google Scholar 

    Google Scholar 

  25. C. Kohlhass and D.E. Mattern, “An algorithm for obtaining optimal looped pipe distribution networks”, In: Papers of the 6th Annual Symposium on the Application of Computers to the Problems of the Urban Society, Association of Computing Machinery, New York, (1971) 138–151.

    Google Scholar 

  26. D. Lai and J.C. Schaake, “Linear programming and dynamic programming application to water distribution network design”, Part 3 of: “Engineering Systems Analysis of the Primary Water Distribution Network of New York City”, Dept. of Civil Engineering, M. I. T. (1969).

    Google Scholar 

  27. P.F. Lemieux, “Minimum cost design of water-pipe, networks”, M.Sc. Thesis, Dept. of Civil Engineering, M. I. T. (1965).

    Google Scholar 

  28. T. Liang, “Design conduit system by dynamic programming”, Proceedings of the ASCE, 97 (HY3) (1971) 383–393.

    Google Scholar 

  29. R. Pitchai, “A model for designing water distribution pipe networks”, Ph. D. Thesis, Harvard University (1966).

    Google Scholar 

  30. H.S. Rao, and D.W. Bree Jr., “Extended period simulation of water systems—part A”, Proceedings of the ASCE 103 (HY2) (1977) 97–108.

    Google Scholar 

  31. H.S. Rao, L.C. Markel and D.W. Bree Jr., “Extended period simulation of water systems—part B”, Proceedings of the ASCE 103 (HY3) (1977) 281–294.

    Google Scholar 

  32. H.J. Rasmusen, “Simplified optimization of water supply systems”, Proceedings of the ASCE 102 (EE2) (1976) 313–327.

    Google Scholar 

  33. U. Shamir, “Minimum cost design of water distribution networks Unpublished Report, Dept. of Civil Engineering, M. I. T. (1964).

    Google Scholar 

  34. U. Shamir, “Water distribution systems analysis”, Report RC4389, IBM Watson Research Center, Yorktown Heights, N. Y. (1973).

    Google Scholar 

  35. U. Shamir, “Optimal design and operation of water distribution systems”, Water Resources Research 11 (4) (1974) 27–36.

    Article  Google Scholar 

  36. U. Shamir and C.D.D. Howard, “Water distribution systems analysis”, Proceedings of the ASCE 94 (HY1) (1968) 219–234.

    Google Scholar 

  37. M.J.H. Sterling and B. Coulbeck, “Optimization of water pumping costs by hierarchial methods”, Proceedings of the Institution of Civil Engineers 59 (2) (1975) 789–797.

    Google Scholar 

  38. M.J.H. Sterling and B. Coulbeck, “A dynamic programming solution to optimization of pumping costs”, Proceedings of the Institution of Civil Engineers 59 (2) (1975) 813–818.

    Google Scholar 

  39. T. Watanatada, “Least cost design of water distribution systems”, Proceedings of the ASCE 99 (HY9) (1973) 1487–1513. *** DIRECT SUPPORT *** A00CW011 00005

    Google Scholar 

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M. Avriel R. S. Dembo

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© 1979 The mathematical programming society

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Shamir, U. (1979). Optimization in water distribution systems engineering. In: Avriel, M., Dembo, R.S. (eds) Engineering Optimization. Mathematical Programming Studies, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0120857

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  • DOI: https://doi.org/10.1007/BFb0120857

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00799-6

  • Online ISBN: 978-3-642-00800-9

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