{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T11:10:04Z","timestamp":1751368204151,"version":"3.41.0"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2000,4,1]],"date-time":"2000-04-01T00:00:00Z","timestamp":954547200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2000,4,1]],"date-time":"2000-04-01T00:00:00Z","timestamp":954547200000},"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":[[2000,4]]},"DOI":"10.1023\/a:1008364005245","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T14:41:38Z","timestamp":1040568098000},"page":"301-323","source":"Crossref","is-referenced-by-count":4,"title":["Pivoting in an Outcome Polyhedron"],"prefix":"10.1007","volume":"16","author":[{"given":"Harold P.","family":"Benson","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Erjiang","family":"Sun","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"241747_CR1","volume-title":"Nonlinear Programming: Theory and Algorithms","author":"M.S. Bazaraa","year":"1993","unstructured":"Bazaraa, M.S., Sherali, H.D. and Shetty, C.M. (1993), Nonlinear Programming: Theory and Algorithms, John Wiley and Sons, New York."},{"key":"241747_CR2","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/978-1-4615-2025-2_3","volume-title":"Handbook of Global Optimization","author":"H.P. Benson","year":"1995","unstructured":"Benson, H.P. (1995), Concave minimization: theory, applications and algorithms, in R. Horst and P.M. Pardalos (eds.), Handbook of Global Optimization, Kluwer Academic Publishers, Dordrecht\/Boston\/London, pp. 43\u2013148."},{"key":"241747_CR3","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1002\/(SICI)1520-6750(199609)43:6<765::AID-NAV1>3.0.CO;2-2","volume":"43","author":"H.P. Benson","year":"1996","unstructured":"Benson, H.P. (1996), Deterministic algorithms for constrained concave minimization: a unified critical survey, Naval Research Logistics 43: 765\u2013795.","journal-title":"Naval Research Logistics"},{"key":"241747_CR4","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/BF01099463","volume":"6","author":"H.P. Benson","year":"1995","unstructured":"Benson, H.P. (1995), A geometrical analysis of the efficient outcome set in multipleobjective convex programs with linear criterion functions, Journal of Global Optimization 6: 231\u2013251.","journal-title":"Journal of Global Optimization"},{"key":"241747_CR5","series-title":"Working Paper July 1998","volume-title":"Pivoting in an outcome polyhedron, Part I: Motivation and initialization","author":"H.P. Benson","year":"1998","unstructured":"Benson, H.P. (1998), Pivoting in an outcome polyhedron, Part I: Motivation and initialization, Working Paper July 1998, University of Florida, Department of Decision and Information Sciences, Gainesville, Florida."},{"key":"241747_CR6","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1023\/A:1022600232285","volume":"94","author":"H.P. Benson","year":"1997","unstructured":"Benson, H.P. and Boger, G.M. (1997), Multiplicative programming problems: analysis and efficient point search heuristic, Journal of Optimization Theory and Applications 94: 487\u2013510.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"241747_CR7","series-title":"Working Paper July 1998","volume-title":"Pivoting in an outcome polyhedron, Part II: Executing the pivot process","author":"H.P. Benson","year":"1998","unstructured":"Benson, H.P. and Sun, E. (1998), Pivoting in an outcome polyhedron, Part II: Executing the pivot process, Working Paper July 1998, University of Florida, Department of Decision and Information Sciences, Gainesville, Florida."},{"key":"241747_CR8","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1007\/BF02023100","volume":"47","author":"J.P. Dauer","year":"1993","unstructured":"Dauer, J.P. (1993), On degeneracy and collapsing in the construction of the set of objective values in a multiple objective linear program, Annals of Operations Research 47: 279\u2013292.","journal-title":"Annals of Operations Research"},{"key":"241747_CR9","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1016\/0377-2217(90)90010-9","volume":"46","author":"J.P. Dauer","year":"1990","unstructured":"Dauer, J.P. and Liu, Y.H. (1990), Solving multiple objective linear programs in objective space, European Journal of Operational Research 46: 350\u2013357.","journal-title":"European Journal of Operational Research"},{"key":"241747_CR10","doi-asserted-by":"crossref","first-page":"733","DOI":"10.2307\/2372648","volume":"76","author":"C. Davis","year":"1954","unstructured":"Davis, C. (1954), Theory of positive linear dependence, American Journal of Mathematics 76: 733\u2013746.","journal-title":"American Journal of Mathematics"},{"key":"241747_CR11","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/BF01096535","volume":"4","author":"J.E. Falk","year":"1994","unstructured":"Falk, J.E. and Palocsay, S.W. (1994), Image space analysis of generalized fractional programs, Journal of Global Optimization 4: 63\u201388.","journal-title":"Journal of Global Optimization"},{"key":"241747_CR12","volume-title":"Linear Optimization and Extensions","author":"S.-C. Fang","year":"1993","unstructured":"Fang, S.-C. and Puthenpura, S. (1993), Linear Optimization and Extensions, Prentice Hall, Englewood Cliffs, New Jersey."},{"key":"241747_CR13","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/0167-6377(92)90058-B","volume":"11","author":"T. Gal","year":"1992","unstructured":"Gal, T. and Geue, F. (1992), A new pivoting rule for solving various degeneracy problems, Operations Research Letters 11: 23\u201332.","journal-title":"Operations Research Letters"},{"key":"241747_CR14","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1007\/BF02023105","volume":"47","author":"F. Geue","year":"1993","unstructured":"Geue, F. (1993), An improved N-tree algorithm for the enumeration of all neighbors of a degenerate vertex, Annals of Operations Research 47: 361\u2013391.","journal-title":"Annals of Operations Research"},{"key":"241747_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02947-3","volume-title":"Global Optimization: Deterministic Approaches","author":"R. Horst","year":"1993","unstructured":"Horst, R. and Tuy, H. (1993), Global Optimization: Deterministic Approaches, 2nd edition, Springer Verlag, Berlin \/New York.","edition":"2nd edition"},{"key":"241747_CR16","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1007\/978-1-4615-2025-2_8","volume-title":"Handbook of Global Optimization","author":"H. Konno","year":"1995","unstructured":"Konno, H. and Kuno, T. (1995), Multiplicative programming problems, in R. Horst and P.M. Pardalos (eds.), Handbook of Global Optimization, Kluwer Academic Publishers, Dordrecht\/Boston\/London, pp. 369\u2013405."},{"key":"241747_CR17","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-4098-4","volume-title":"Optimization on Low Rank Nonconvex Structures","author":"H. Konno","year":"1997","unstructured":"Konno, H., Thach, P.T. and Tuy, H. (1997), Optimization on Low Rank Nonconvex Structures, Kluwer Academic Publishers, Dordrecht\/Boston\/London."},{"key":"241747_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-49270-9","volume-title":"Degeneracy Graphs and the Neighborhood Problem","author":"H.-J. Kruse","year":"1986","unstructured":"Kruse, H.-J. (1986), Degeneracy Graphs and the Neighborhood Problem, Springer Verlag, Berlin \/New York."},{"key":"241747_CR19","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1287\/mnsc.12.3.241","volume":"12","author":"B. Martos","year":"1965","unstructured":"Martos, B. (1965), The direct power of adjacent vertex programming methods, Management Science 12: 241\u2013252.","journal-title":"Management Science"},{"key":"241747_CR20","volume-title":"Linear Programming","author":"K.G. Murty","year":"1983","unstructured":"Murty, K.G. (1983), Linear Programming, John Wiley and Sons, New York."},{"key":"241747_CR21","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1007\/BF01106605","volume":"6","author":"I. Quesada","year":"1995","unstructured":"Quesada, I. and Grossmann, I. (1995), A global optimization algorithm for linear fractional and bilinear programs, Journal of Global Optimization 6: 39\u201376.","journal-title":"Journal of Global Optimization"},{"key":"241747_CR22","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"R.T. Rockafellar","year":"1970","unstructured":"Rockafellar, R.T. (1970), Convex Analysis, Princeton University Press, Princeton, New Jersey."},{"key":"241747_CR23","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/BF00138689","volume":"8","author":"H.S. Ryoo","year":"1996","unstructured":"Ryoo, H.S. and Sahinidis, N.V. (1996), A branch-and-bound approach to global optimization, Journal of Global Optimization 8: 107\u2013138.","journal-title":"Journal of Global Optimization"},{"key":"241747_CR24","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1007\/BF02192573","volume":"87","author":"S. Schaible","year":"1995","unstructured":"Schaible, S. and Sodini, C. (1995), Finite algorithm for generalized linear multiplicative programming, Journal of Optimization Theory and Applications 87: 441\u2013455.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"241747_CR25","volume-title":"Multiple Criteria Optimization: Theory, Computation, and Application","author":"R. Steuer","year":"1986","unstructured":"Steuer, R. (1986), Multiple Criteria Optimization: Theory, Computation, and Application, John Wiley and Sons, New York."},{"key":"241747_CR26","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/BF00119933","volume":"1","author":"H. Tuy","year":"1991","unstructured":"Tuy, H. (1991), Polyhedral annexation, dualization, and dimension reduction technique in global optimization, Journal of Global Optimization 1: 229\u2013244.","journal-title":"Journal of Global Optimization"},{"key":"241747_CR27","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1080\/02331939208843778","volume":"24","author":"H. Tuy","year":"1992","unstructured":"Tuy, H. and Tam, B.T. (1992), An efficient solution method for rank-two quasiconcave minimization problems, Optimization 24: 43\u201356.","journal-title":"Optimization"},{"key":"241747_CR28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.6028\/jres.071B.001","volume":"71B","author":"R.J.-B. Wets","year":"1967","unstructured":"Wets, R.J.-B. and Witzgall, C. (1967), Algorithms for frames and lineality spaces of cones, Journal of Research of the National Bureau of Standards 71B: 1\u20137.","journal-title":"Journal of Research of the National Bureau of Standards"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008364005245.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1008364005245\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008364005245.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T10:40:00Z","timestamp":1751366400000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1008364005245"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,4]]},"references-count":28,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2000,4]]}},"alternative-id":["241747"],"URL":"https:\/\/doi.org\/10.1023\/a:1008364005245","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"type":"print","value":"0925-5001"},{"type":"electronic","value":"1573-2916"}],"subject":[],"published":{"date-parts":[[2000,4]]}}}