{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,2]],"date-time":"2025-12-02T15:14:37Z","timestamp":1764688477806},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2005,5,1]],"date-time":"2005-05-01T00:00:00Z","timestamp":1114905600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Heuristics"],"published-print":{"date-parts":[[2005,5]]},"DOI":"10.1007\/s10732-005-1731-0","type":"journal-article","created":{"date-parts":[[2005,8,31]],"date-time":"2005-08-31T06:00:37Z","timestamp":1125468037000},"page":"201-217","source":"Crossref","is-referenced-by-count":24,"title":["Multi-Path Approach for Reliability-Redundancy Allocation Using a Scaling Method"],"prefix":"10.1007","volume":"11","author":[{"given":"Chunghun","family":"Ha","sequence":"first","affiliation":[]},{"given":"Way","family":"Kuo","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"1731_CR1","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611971194","volume-title":"Mathematical Theory of Reliability","author":"R.E. Barlow","year":"1996","unstructured":"Barlow, R.E. and F. Proschan. (1996). Mathematical Theory of Reliability. Philadelphia, PA: SIAM."},{"key":"1731_CR2","volume-title":"Nonlinear Programming: Theory and Algorithms","author":"M.S. Bazaraa","year":"1993","unstructured":"Bazaraa, M.S., H.D. Sherali, and C.M. Shetty. (1993). Nonlinear Programming: Theory and Algorithms 2nd edn. New York: John Wiley & Sons.","edition":"2"},{"key":"1731_CR3","volume-title":"Nonlinear Programming","author":"D.P. Bertsekas","year":"1999","unstructured":"Bertsekas, D.P. (1999). Nonlinear Programming. 2nd edition, Belmont: Athena Scientific.","edition":"2"},{"key":"1731_CR4","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1109\/TR.1978.5220403","volume":"29","author":"K. Gopal","year":"1978","unstructured":"Gopal, K., K.K. Aggarwal, and J.S. Gupta. (1978). \u201cAn Improved Algorithm for Reliability Optimization.\u201d IEEE Transactions on Reliability. 29, 325\u2013328.","journal-title":"IEEE Transactions on Reliability"},{"key":"1731_CR5","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1109\/TR.1980.5220700","volume":"29","author":"K. Gopal","year":"1980","unstructured":"Gopal, K., K.K. Aggarwal, and J.S. Gupta. (1980). \u201cA New Method for Solving Reliability Optimization Problem.\u201d IEEE Transactions on Reliability. 29, 36\u201338.","journal-title":"IEEE Transactions on Reliability"},{"key":"1731_CR6","unstructured":"Ha, C. (2004). \u201cReliability-Yield Allocation for Semiconductor Integrated Circuits: Modeling and Optimization.\u201d College Station: Texas A&M University, PhD Theis."},{"key":"1731_CR7","unstructured":"Ha, C. and Way Kuo. (2004). \u201cReliability Redundancy Allocation: An Improved Realization for Nonconvex Nonlinear Programming Problems.\u201d accepted by European Journal of Operational Research."},{"issue":"3","key":"1731_CR8","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1109\/24.159825","volume":"R-41","author":"M. Hikita","year":"1992","unstructured":"Hikita, M., Y. Nakagawa, K. Nakashima, and H. Narihisa. (1992). \u201cReliability Optimization of Systems by a Surrogate-Constraints Algorithm.\u201d IEEE Transactions on Reliability. R-41(3), 473\u2013480.","journal-title":"IEEE Transactions on Reliability"},{"issue":"4","key":"1731_CR9","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1109\/TR.1979.5220617","volume":"R-28","author":"C.L. Hwang","year":"1979","unstructured":"Hwang, C.L., F.A. Tillman, and W. Kuo. (1979). \u201cReliability Optimization by Generalized Lagrangian-Function and Reduced-Gradient Methods.\u201d IEEE Transactions on Reliability. R-28(4), 316\u2013319.","journal-title":"IEEE Transactions on Reliability"},{"issue":"4","key":"1731_CR10","doi-asserted-by":"crossref","first-page":"572","DOI":"10.1109\/24.273585","volume":"42","author":"J.H. Kim","year":"1993","unstructured":"Kim, J.H. and B.J. Yum. (1993). \u201cA Heuristic Method for Solving Redundancy Optimization Problems in Complex Systems.\u201d IEEE Transactions on Reliability. 42(4), 572\u2013578.","journal-title":"IEEE Transactions on Reliability"},{"key":"1731_CR11","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1109\/TR.1978.5220401","volume":"R-27","author":"W. Kuo","year":"1978","unstructured":"Kuo, W., C.L. Hwang, and F.A. Tillman. (1978). \u201cA Note on Heuristic Methods in Optimal System Reliability.\u201d IEEE Transactions on Reliability. R-27, 320\u2013324.","journal-title":"IEEE Transactions on Reliability"},{"key":"1731_CR12","doi-asserted-by":"crossref","first-page":"624","DOI":"10.1109\/TR.1987.5222487","volume":"R-36","author":"W. Kuo","year":"1987","unstructured":"Kuo, W., H. Lin, Z. Xu, and W. Zang. (1987). \u201cReliability Optimization with the Lagrange Multiplier and Branch-and-Bound Technique.\u201d IEEE Transactions on Reliability. R-36, 624\u2013630.","journal-title":"IEEE Transactions on Reliability"},{"issue":"2","key":"1731_CR13","first-page":"487","volume":"49","author":"W. Kuo","year":"2000","unstructured":"Kuo, W. and V.R. Prasad. (2000). \u201cAn Annotated Overview of System Reliability Optimization.\u201d IEEE Transactions on Reliability. 49(2), 487\u2013493.","journal-title":"IEEE Transactions on Reliability"},{"key":"1731_CR14","volume-title":"Optimal Reliability Design: Fundamentals and Applications","author":"W. Kuo","year":"2001","unstructured":"Kuo, W., V.R. Prasad, F.A. Tillman, and C.L. Hwang. (2001). Optimal Reliability Design: Fundamentals and Applications. Cambridge: Cambridge University Press."},{"issue":"3","key":"1731_CR15","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1109\/TR.1977.5220101","volume":"R-26","author":"Y. Nakagawa","year":"1977","unstructured":"Nakagawa, Y. and K. Nakashima. (1977). \u201cA Heuristic Method for Determining Optimal Reliability Allocation.\u201d IEEE Transactions on Reliability. R-26(3), 156\u2013161.","journal-title":"IEEE Transactions on Reliability"},{"key":"1731_CR16","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/BF01593790","volume":"12","author":"M.J.D. Powell","year":"1977","unstructured":"Powell, M.J.D. (1977). \u201cRestart Procedures for the Conjugate Gradient Method.\u201d Mathematical Programming. 12, 241\u2013254.","journal-title":"Mathematical Programming"},{"issue":"2","key":"1731_CR17","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1137\/1035044","volume":"35","author":"R.T. Rockafellar","year":"1993","unstructured":"Rockafellar, R.T. (1993). \u201cLagrange Multipliers, and Optimality.\u201d SIAM Review. 35(2), 183\u2013238.","journal-title":"SIAM Review"},{"key":"1731_CR18","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1023\/A:1011962605464","volume":"21","author":"X.L. Sun","year":"2001","unstructured":"Sun, X.L., K.I.M. Mckinnon, and D. Li. (2001). \u201cA Convexification Method for a Class of Global Optimization Problems with Applications to Reliability Optimization.\u201d Journal of Global Optimization. 21, 185\u2013199.","journal-title":"Journal of Global Optimization"},{"key":"1731_CR19","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1109\/TR.1977.5220102","volume":"18","author":"F.A. Tillman","year":"1977","unstructured":"Tillman, F.A., C.L. Hwang, and W. Kuo. (1977). \u201cDetermining Component Reliability and Redundancy for Optimum System Reliability.\u201d IEEE Transactions on Reliability. 18, 162\u2013165.","journal-title":"IEEE Transactions on Reliability"},{"issue":"1","key":"1731_CR20","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1109\/24.52612","volume":"R-39","author":"Z. Xu","year":"1990","unstructured":"Xu, Z., W. Kuo, and H. Lin. (1990). \u201cOptimization Limits in Improving System Reliability.\u201d IEEE Transactions on Reliability. R-39(1), 51\u201360.","journal-title":"IEEE Transactions on Reliability"}],"container-title":["Journal of Heuristics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10732-005-1731-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10732-005-1731-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10732-005-1731-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T18:54:26Z","timestamp":1559242466000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10732-005-1731-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,5]]},"references-count":20,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2005,5]]}},"alternative-id":["1731"],"URL":"https:\/\/doi.org\/10.1007\/s10732-005-1731-0","relation":{},"ISSN":["1381-1231","1572-9397"],"issn-type":[{"value":"1381-1231","type":"print"},{"value":"1572-9397","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,5]]}}}