{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T06:18:06Z","timestamp":1775197086968,"version":"3.50.1"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1997,9,1]],"date-time":"1997-09-01T00:00:00Z","timestamp":873072000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1997,9,1]],"date-time":"1997-09-01T00:00:00Z","timestamp":873072000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Global Optimization"],"published-print":{"date-parts":[[1997,9]]},"DOI":"10.1023\/a:1008207817095","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T13:47:34Z","timestamp":1040564854000},"page":"107-132","source":"Crossref","is-referenced-by-count":48,"title":["A Global Optimization Approach to a Water Distribution Network Design Problem"],"prefix":"10.1007","volume":"11","author":[{"given":"Hanif D.","family":"Sherali","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ernest P.","family":"Smith","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"6","key":"136539_CR1","doi-asserted-by":"crossref","first-page":"885","DOI":"10.1029\/WR013i006p00885","volume":"13","author":"E. Alperovits","year":"1977","unstructured":"Alperovits, E. and Shamir, U. (1977), Design of Optimal Water Distribution Systems, Water Resources Research\n13(6), 885\u2013900.","journal-title":"Water Resources Research"},{"key":"136539_CR2","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1061\/(ASCE)0733-9372(1985)111:2(177)","volume":"111","author":"P.R. Bhave","year":"1985","unstructured":"Bhave, P.R. (1985), Optimal Expansion ofWater Distribution Systems, Journal of the Environmental Engineering Division, ASCE 111, No. EE2, 177\u2013197.","journal-title":"Journal of the Environmental Engineering Division"},{"issue":"7","key":"136539_CR3","doi-asserted-by":"crossref","first-page":"747","DOI":"10.1287\/mnsc.24.7.747","volume":"24","author":"M. Collins","year":"1978","unstructured":"Collins, M., Cooper, L., Helgason, R., Kennington, J. and LeBlanc, L. (1978), Solving the Pipe Network Analysis Problem using Optimization Techniques, Management Science, 24(7), 747\u2013760.","journal-title":"Management Science"},{"issue":"9","key":"136539_CR4","doi-asserted-by":"crossref","first-page":"2637","DOI":"10.1029\/94WR00623","volume":"30","author":"G. Eiger","year":"1994","unstructured":"Eiger, G., Shamir, U. and Ben-Tal, A. (1994), Optimal Design of Water Distribution Networks, Water Resources Research, 30(9), 2637\u20132646.","journal-title":"Water Resources Research"},{"issue":"6","key":"136539_CR5","doi-asserted-by":"crossref","first-page":"977","DOI":"10.1029\/WR023i006p00977","volume":"23","author":"O. Fujiwara","year":"1987","unstructured":"Fujiwara, O., Jenchaimahakoon, B. and Edirisinghe, N.C.P. (1987), A Modified Linear Programming Gradient Method for Optimal Design of Looped Water Distribution Networks, Water Resources Research, 23(6), 977\u2013982.","journal-title":"Water Resources Research"},{"issue":"4","key":"136539_CR6","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1029\/WR026i004p00539","volume":"26","author":"O. Fujiwara","year":"1990","unstructured":"Fujiwara O. and Khang, D.B. (1990), A Two-Phase Decomposition Method for Optimal Design of Looped Water Distribution Networks, Water Resources Research, 26(4), 539\u2013549.","journal-title":"Water Resources Research"},{"key":"136539_CR7","unstructured":"Gessler, J.M. (1985), Pipe Network Optimization by Enumeration, in Computer Applications in Water Resources, ed. H.C. Tonro, pp. 527\u2013581."},{"key":"136539_CR8","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1007\/BF01582889","volume":"52","author":"P. Hansen","year":"1991","unstructured":"Hansen, P., Jaumard, B., and Lu, S. (1991) An Analytical Approach to Global Optimization, Mathematical Programming, 52, 227\u2013254.","journal-title":"Mathematical Programming"},{"issue":"2","key":"136539_CR9","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1029\/WR025i002p00152","volume":"25","author":"B.G. Hobbs","year":"1989","unstructured":"Hobbs, B.G. and Hepenstal, A. (1989), Is Optimization Optimistically Biased?, Water Resources Research\n25(2), 152\u2013160.","journal-title":"Water Resources Research"},{"key":"136539_CR10","volume-title":"Introduction to Global Optimization","author":"R. Horst","year":"1995","unstructured":"Horst, R., Pardalos, P.M. and Thoai, N.V. (1995), Introduction to Global Optimization, Kluwer Academic Publishers, Dordrecht, The Netherlands."},{"key":"136539_CR11","unstructured":"Jeppson, R.W. (1985), Practical Optimization of Looped Water Systems, in Computer Applications in Water Resources, ed. H.C. Tonro, pp. 723\u2013731."},{"issue":"7","key":"136539_CR12","doi-asserted-by":"crossref","first-page":"1469","DOI":"10.1029\/WR025i007p01469","volume":"27","author":"A. Kessler","year":"1989","unstructured":"Kessler, A. and Shamir, U. (1989), Analysis of the Linear Programming Gradient Method for Optimal Design of Water Supply Networks, Water Resources Research, 27(7), 1469\u20131480.","journal-title":"Water Resources Research"},{"issue":"2","key":"136539_CR13","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/BF01097058","volume":"7","author":"B.W. Lamar","year":"1995","unstructured":"Lamar, B.W. (1995), Nonconvex Optimization Over a Polytope Using Generalized Capacity Improvement, Journal of Global Optimization, 7(2), 127\u2013142.","journal-title":"Journal of Global Optimization"},{"key":"136539_CR14","unstructured":"Lansey, K. and Mays, L. (1985), A Methodology for Optimal Network Design, in Computer Applications in Water Resources, ed. H.C. Torno, pp. 732\u2013738."},{"issue":"2","key":"136539_CR15","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1061\/(ASCE)0733-9496(1995)121:2(182)","volume":"121","author":"G.B. Loganathan","year":"1995","unstructured":"Loganathan, G.B., Greene, J.J. and Ahn, T.J. (1995), Design Heuristic for Globally Minimum Cost Water-Distribution Systems, Journal of Water Resources Planning and Management, 121(2), 182\u2013192.","journal-title":"Journal of Water Resources Planning and Management"},{"issue":"4","key":"136539_CR16","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1080\/03052159008941160","volume":"15","author":"G.V. Loganathan","year":"1990","unstructured":"Loganathan, G.V., Sherali, H.D. and Shah, M.P. (1990), A Two-Phase Network Design Heuristic for Minimum Cost Water Distribution System Under a Reliability Constraint, Engineering Optimization, 15(4), 311\u2013336.","journal-title":"Engineering Optimization"},{"key":"136539_CR17","first-page":"103","volume-title":"Integrated Computer Applications in Water Supply","author":"B.F. Loubser","year":"1993","unstructured":"Loubser, B.F. and Gessler, J.M. (1993), Computer Aided Optimization of Water Distribution Networks, Integrated Computer Applications in Water Supply, 1, Research Studies Press Ltd., Somerset, England, pp. 103\u2013120."},{"issue":"5","key":"136539_CR18","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1029\/WR021i005p00642","volume":"21","author":"D.R. Morgan","year":"1985","unstructured":"Morgan, D.R. and Goulter, I.C. (1985), Optimal Urban Water Distribution Design, Water Resources Research, 21(5), 642\u2013652.","journal-title":"Water Resources Research"},{"key":"136539_CR19","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1061\/JEEGAV.0001192","volume":"107","author":"G. Quindry","year":"1981","unstructured":"Quindry, G., Brill, E.D. and Liebman, J.C. (1981), Optimization of Looped Water Distribution Systems, Journal of Environmental Engineering Division, ASCE, 107, EE4, 665\u2013679.","journal-title":"Journal of Environmental Engineering Division"},{"key":"136539_CR20","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1061\/JYCEAJ.0005796","volume":"108","author":"W.F. Rowell","year":"1982","unstructured":"Rowell, W.F. and Barnes, J.W. (1982), Obtaining Layouts of Water Distribution Systems, Journal of the Hydraulics Division, ASCE, 108, HY1, 137\u2013148.","journal-title":"Journal of the Hydraulics Division"},{"key":"136539_CR21","series-title":"Technical Report","volume-title":"A Branch-and-Reduce Approach to Global Optimization","author":"H.S. Ryoo","year":"1994","unstructured":"Ryoo, H.S. and Sahinidis, N.V. (1994), A Branch-and-Reduce Approach to Global Optimization, Technical Report, Dept. of Mechanical and Industrial Engineering, University of Illinois, Urbana-Champagne, Illinois."},{"key":"136539_CR22","series-title":"Technical Report","volume-title":"A Finite Algorithm for GlobalMinimization of Separable Concave Programs","author":"H.P. Shectman","year":"1994","unstructured":"Shectman, H.P. and Sahinidis, N.V. (1994), A Finite Algorithm for GlobalMinimization of Separable Concave Programs, Technical Report, Dept. of Mechanical and Industrial Engineering, University of Illinois, Urbana-Champagne, Illinois."},{"key":"136539_CR23","series-title":"Technical Report","volume-title":"Global Optimization of Nonconvex Polynomial Programming Problems Having Rational Exponents","author":"H.D. Sherali","year":"1996","unstructured":"Sherali, H.D. (1996), Global Optimization of Nonconvex Polynomial Programming Problems Having Rational Exponents, Technical Report HDS96-3, Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia."},{"key":"136539_CR24","first-page":"61","volume-title":"Integrated Computer Applications in Water Supply","author":"H.D. Sherali","year":"1993","unstructured":"Sherali, H.D. and Smith, E.P. (1993), An Optimal Replacement-Design Model for a Reliable Water Distribution Network System, Integrated Computer Applications in Water Supply, 1, Research Studies Press Ltd., Somerset, England, pp. 61\u201375."},{"key":"136539_CR25","doi-asserted-by":"crossref","unstructured":"Sherali, H.D., Smith, E.P., and Kim, S. (1996a), A Pipe Reliability and Cost Model for an Integrated Approach Toward Designing Water Distribution Systems, in Global Optimization in Engineering Design, ed. I.E. Grossmann, pp. 333\u2013354.","DOI":"10.1007\/978-1-4757-5331-8_11"},{"key":"136539_CR26","unstructured":"Sherali, H.D., Totlani, R., and Loganathan, G.V. (1996b), On Computing Lower Bounds for a Pipe Network Design Problem, Technical Report HDS95-7, Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia."},{"key":"136539_CR27","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF00121304","volume":"2","author":"H.D. Sherali","year":"1992","unstructured":"Sherali, H.D. and Tuncbilek, C.H. (1992), A Global Optimization Algorithm for Polynomial Programming Problems Using a Reformulation-Linearization Technique, Journal of Global Optimization\n2, 101\u2013112.","journal-title":"Journal of Global Optimization"},{"issue":"1","key":"136539_CR28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01100203","volume":"7","author":"H.D. Sherali","year":"1995","unstructured":"Sherali, H.D. and Tuncbilek, C.H. (1995), A Reformulation-Convexification Approach for Solving Nonconvex Quadratic Programming Problems, Journal of Global Optimization, 7(1), 1\u201331.","journal-title":"Journal of Global Optimization"},{"issue":"2","key":"136539_CR29","doi-asserted-by":"crossref","first-page":"390","DOI":"10.1287\/moor.16.2.390","volume":"16","author":"N.V. Thakur","year":"1990","unstructured":"Thakur, N.V. (1990), Domain Contraction in Nonlinear Programming: Minimizing a Concave Function Over a Polyhedron, Mathematics of Operations Research, 16(2), 390\u2013407.","journal-title":"Mathematics of Operations Research"},{"key":"136539_CR30","volume-title":"Analysis of Water Distribution Systems","author":"T.M. Walski","year":"1984","unstructured":"Walski, T.M. Analysis of Water Distribution Systems, Van Nostrand Reinhold Company, New York, 1984."},{"key":"136539_CR31","unstructured":"Walski, T.M. (1985), State-of-the-Art Pipe Network Optimization, in Computer Applications in Water Resources, ed. H.C. Tonro, pp. 559\u2013568."},{"key":"136539_CR32","unstructured":"Walski, T.M. Water Supply System Rehabilitation, American Society of Civil Engineers, New York."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008207817095.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1008207817095\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008207817095.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T10:43:27Z","timestamp":1751366607000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1008207817095"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,9]]},"references-count":32,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1997,9]]}},"alternative-id":["136539"],"URL":"https:\/\/doi.org\/10.1023\/a:1008207817095","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,9]]}}}