{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,9]],"date-time":"2026-07-09T06:35:25Z","timestamp":1783578925135,"version":"3.55.0"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,12,2]],"date-time":"2006-12-02T00:00:00Z","timestamp":1165017600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2007,2,6]]},"DOI":"10.1007\/s10479-006-0107-7","type":"journal-article","created":{"date-parts":[[2006,12,1]],"date-time":"2006-12-01T18:26:15Z","timestamp":1164997575000},"page":"185-193","source":"Crossref","is-referenced-by-count":19,"title":["RLT: A unified approach for discrete and continuous nonconvex optimization"],"prefix":"10.1007","volume":"149","author":[{"given":"Hanif D.","family":"Sherali","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2006,12,2]]},"reference":[{"issue":"10","key":"107_CR1","doi-asserted-by":"crossref","first-page":"1274","DOI":"10.1287\/mnsc.32.10.1274","volume":"32","author":"W.P. Adams","year":"1986","unstructured":"Adams, W.P. and H.D. Sherali. (1986). \u201cA Tight Linearization and an Algorithm for Zero-One Quadratic Programs.\u201d Management Science, 32(10), 1274\u20131290.","journal-title":"Management Science"},{"issue":"2","key":"107_CR2","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1287\/opre.38.2.217","volume":"38","author":"W.P. Adams","year":"1990","unstructured":"Adams, W.P. and H.D. Sherali. (1990). \u201cLinearization Strategies for a Class of Zero-One Mixed-Integer Programming Problems.\u201d Operations Research, 38(2), 217\u2013226.","journal-title":"Operations Research"},{"issue":"3","key":"107_CR3","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1007\/BF01581249","volume":"59","author":"W.P. Adams","year":"1993","unstructured":"Adams, W.P. and H.D. Sherali. (1993). \u201cMixed-Integer Bilinear Programming Problems.\u201d Mathematical Programming, 59(3), 279\u2013305.","journal-title":"Mathematical Programming"},{"issue":"Series A","key":"107_CR4","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s101079900106","volume":"87","author":"C. Audet","year":"2000","unstructured":"Audet, C., P. Hansen, B. Jaumard, and C. Savard. (2000). \u201cA Branch and Cut Algorithm for Nonconvex Quadratically Constrained Quadratic Programming.\u201d Mathematical Programming, 87(Series A), 131\u2013152.","journal-title":"Mathematical Programming"},{"key":"107_CR5","volume-title":"Nonlinear Programming","author":"E. Balas","year":"1975","unstructured":"Balas, E. (1975). \u201cDisjunctive Programming: Cutting Planes from Logical Conditions.\u201d In O.L. Mangasarian, R.R. Meyer, and S.M. Robinson (Eds.), Nonlinear Programming, New York: Academic Press."},{"key":"107_CR6","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1137\/0606047","volume":"6","author":"E. Balas","year":"1985","unstructured":"Balas, E. (1985). \u201cDisjunctive Programming and a Hierarchy of Relaxations for Discrete Optimization Problems.\u201d SIAM Journal on Algebraic and Discrete Methods, 6, 466\u2013485.","journal-title":"SIAM Journal on Algebraic and Discrete Methods"},{"key":"107_CR7","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/BF01581273","volume":"58","author":"E. Balas","year":"1993","unstructured":"Balas, E., S. Ceria, and G. Cornuejols. (1993). \u201cA Lift-and-Project Cutting Plane Algorithm for Mixed 0-1 Programs.\u201d Mathematical Programming, 58, 295\u2013324.","journal-title":"Mathematical Programming"},{"issue":"1","key":"107_CR8","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1002\/nav.3800270104","volume":"27","author":"M.S. Bazaraa","year":"1980","unstructured":"Bazaraa, M.S. and H.D. Sherali. (1980). \u201cBenders\u2019 Partitioning Applied to a New Formulation of the Quadratic Assignment Problem.\u201d Naval Research Logistics Quarterly, 27(1), 28\u201342.","journal-title":"Naval Research Logistics Quarterly"},{"key":"107_CR9","doi-asserted-by":"crossref","unstructured":"Lim, C. and H.D. Sherali. (2006a). \u201cConvergence and Computational Analysis for Some Variable Target Value and Subgradient Deflection Methods.\u201d Computational Optimization and Applications, 34(3), 409\u2013428.","DOI":"10.1007\/s10589-005-3914-x"},{"key":"107_CR10","doi-asserted-by":"crossref","unstructured":"Lim, C. and H.D. Sherali. (2006b). \u201cA Trust Region Target Value Method for Optimizing Nondifferentiable Lagrangian Duals of Linear Programs.\u201d Mathematical Methods of Operations Research, 64, 33\u201353.","DOI":"10.1007\/s00186-006-0071-7"},{"key":"107_CR11","volume-title":"An Analytical Survey for the Quadratic Assignment Problem","author":"E.M. Loiolla","year":"2004","unstructured":"Loiolla, E.M., N.M. Maia de Abren, P.O. Boaventura-Netto, P. Hahn, and T. Querido. (2004). An Analytical Survey for the Quadratic Assignment Problem. Pittsburgh, PA: University of Pennsylvania."},{"key":"107_CR12","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1137\/0801013","volume":"1","author":"L. Lovasz","year":"1991","unstructured":"Lovasz, L. and A. Schrijver. (1991). \u201cCones of Matrices and Set Functions and 0-1 Optimization.\u201d SIAM Journal on Optimization, 1, 166\u2013190.","journal-title":"SIAM Journal on Optimization"},{"issue":"2","key":"107_CR13","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/BF00138693","volume":"8","author":"N.V. Sahinidis","year":"1996","unstructured":"Sahinidis, N.V. (1996). BARON: A General Purpose Global Optimization Software Package.\u201d Journal of Global Optimization, 8(2), 201\u2013205.","journal-title":"Journal of Global Optimization"},{"issue":"4","key":"107_CR14","doi-asserted-by":"crossref","first-page":"878","DOI":"10.1287\/opre.32.4.878","volume":"32","author":"H.D. Sherali","year":"1984","unstructured":"Sherali, H.D. and W.P. Adams. (1984). \u201cA Decomposition Algorithm for a Discrete Location-Allocation Problem.\u201d Operations Research, 32(4), 878\u2013900.","journal-title":"Operations Research"},{"issue":"3","key":"107_CR15","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1137\/0403036","volume":"3","author":"H.D. Sherali","year":"1990","unstructured":"Sherali, H.D. and W.P. Adams. (1990). \u201cA Hierarchy of Relaxations Between the Continuous and Convex Hull Representations for Zero-One Programming Problems.\u201d SIAM Journal on Discrete Mathematics, 3(3), 411\u2013430.","journal-title":"SIAM Journal on Discrete Mathematics"},{"key":"107_CR16","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0166-218X(92)00190-W","volume":"52","author":"H.D. Sherali","year":"1994","unstructured":"Sherali, H.D. and W.P. Adams. (1994). \u201cA Hierarchy of Relaxations and Convex Hull Characterizations for Mixed-Integer Zero-One Programming Problems.\u201d Discrete Applied Mathematics, 52, 83\u2013106.","journal-title":"Discrete Applied Mathematics"},{"key":"107_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-4388-3","volume-title":"A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems","author":"H.D. Sherali","year":"1999","unstructured":"Sherali, H.D. and W.P. Adams. (1999). A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems Dordrecht\/Boston\/London: Kluwer Academic Publishers."},{"issue":"3","key":"107_CR18","doi-asserted-by":"crossref","first-page":"396","DOI":"10.1287\/opre.46.3.396","volume":"46","author":"H.D. Sherali","year":"1998","unstructured":"Sherali, H.D., W.P. Adams, and P.J. Driscoll. (1998). \u201cExploiting Special Structures in Constructing a Hierarchy of Relaxations for 0-1 Mixed Integer Problems.\u201d Operations Research, 46(3), 396\u2013405.","journal-title":"Operations Research"},{"key":"107_CR19","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/0-387-25570-2_5","volume-title":"Essays and Surveys on Global Optimization","author":"H.D. Sherali","year":"2005","unstructured":"Sherali, H.D. and J. Desai. (2005). \u201cOn Solving Polynomial, Factorable, and Black-box Optimization Problems using the RLT Methodology.\u201d In C. Audet, P. Hansen, and G. Savard (Eds.), Essays and Surveys on Global Optimization. New York, NY: Springer, pp. 131\u2013163."},{"key":"107_CR20","unstructured":"Sherali, H.D. and B.M.P. Fraticelli. (2002). \u201cEnhancing RLT Relaxations Via a New Class of Semidefinite Cuts.\u201d In special issue in honor of Professor Reiner Horst, P.M. Pardalos and N.V. Thoai (eds.), Journal of Global Optimization, 22(1\u20134), 233\u2013261."},{"key":"107_CR21","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1023\/A:1024792717467","volume":"26","author":"H.D. Sherali","year":"2003","unstructured":"Sherali, H.D. and V. Ganesan. (2003). \u201cA Pseudo-Global Optimization Approach with Application to the Design of Containerships.\u201d Journal of Global Optimization, 26, 335\u2013360.","journal-title":"Journal of Global Optimization"},{"key":"107_CR22","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/0166-218X(88)90041-8","volume":"20","author":"H.D. Sherali","year":"1988","unstructured":"Sherali, H.D. and D.C. Myers, (1988). \u201cDual Formulations and Subgradient Optimization Strategies for Linear Programming Relaxations of Mixed-Integer Programs.\u201d Discrete Applied Mathematics, 20, 51\u201368.","journal-title":"Discrete Applied Mathematics"},{"key":"107_CR23","doi-asserted-by":"crossref","unstructured":"Sherali, H.D. and C.M. Shetty. (1980). Optimization with Disjunctive Constraints, Berlin-Heidelberg-New York: Springer-Verlag, Series in Economics and Mathematical Systems, Publication Number 181.","DOI":"10.1007\/978-3-642-48794-1"},{"key":"107_CR24","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF00121304","volume":"2","author":"H.D. Sherali","year":"1992","unstructured":"Sherali, H.D. and C.H. Tuncbilek. (1992). \u201cA Global Optimization Algorithm for Polynomial Programming Problems Using a Reformulation-Linearization Technique.\u201d Journal of Global Optimization, 2, 101\u2013112.","journal-title":"Journal of Global Optimization"},{"key":"107_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01100203","volume":"7","author":"H.D. Sherali","year":"1995","unstructured":"Sherali, H.D. and C.H. Tuncbilek. (1995). \u201cA Reformulation-Convexification Approach for Solving Nonconvex Quadratic Programming Problems.\u201d Journal of Global Optimization, 7, 1\u201331.","journal-title":"Journal of Global Optimization"},{"issue":"1","key":"107_CR26","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0167-6377(97)00013-8","volume":"21","author":"H.D. Sherali","year":"1997","unstructured":"Sherali, H.D. and C.H. Tuncbilek. (1997). \u201cNew Reformulation-Linearization\/Convexification Relaxations for Univariate and Multivariate Polynomial Programming Problems.\u201d Operations Research Letters, 21(1), 1\u201310.","journal-title":"Operations Research Letters"},{"issue":"3","key":"107_CR27","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1007\/PL00011409","volume":"89","author":"H.D. Sherali","year":"2001","unstructured":"Sherali, H.D. and H. Wang. (2001). \u201cGlobal Optimization of Nonconvex Factorable Programming Problems.\u201d Mathematical Programming, 89(3), 459\u2013478.","journal-title":"Mathematical Programming"},{"issue":"3","key":"107_CR28","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1007\/s10107-004-0550-7","volume":"102","author":"D. Vandenbussche","year":"2005","unstructured":"Vandenbussche, D. and G.L. Nemhauser. (2005). \u201cA Branch-and-cut Algorithm for Nonconvex Quadratic Programs with Box Constraints.\u201d Mathematical Programming, 102(3), 559\u2013576.","journal-title":"Mathematical Programming"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-006-0107-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10479-006-0107-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-006-0107-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,19]],"date-time":"2020-04-19T04:49:23Z","timestamp":1587271763000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10479-006-0107-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,12,2]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,2,6]]}},"alternative-id":["107"],"URL":"https:\/\/doi.org\/10.1007\/s10479-006-0107-7","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,12,2]]}}}