{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T12:59:13Z","timestamp":1773147553720,"version":"3.50.1"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1996,4,1]],"date-time":"1996-04-01T00:00:00Z","timestamp":828316800000},"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":[[1996,4]]},"DOI":"10.1007\/bf02187298","type":"journal-article","created":{"date-parts":[[2005,9,20]],"date-time":"2005-09-20T18:29:53Z","timestamp":1127240993000},"page":"139-162","source":"Crossref","is-referenced-by-count":19,"title":["Chapter 6 On the construction of strong complementarity slackness solutions for DEA linear programming problems using a primal-dual interior-point method"],"prefix":"10.1007","volume":"66","author":[{"given":"Mar\u00eda D.","family":"Gonz\u00e1lez-Lima","sequence":"first","affiliation":[]},{"given":"Richard A.","family":"Tapia","sequence":"additional","affiliation":[]},{"given":"Robert M.","family":"Thrall","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02187298_CR1","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/0038-0121(95)00002-4","volume":"29","author":"W.W. Cooper","year":"1995","unstructured":"Cooper, W.W., S. Kumbhakar, R.M. Thrall and X. Yu, DEA and stochastic frontier analyses of the 1978 Chinese economic reforms, Socio-Economic Planning Sciences 29, 1995, 85\u2013112.","journal-title":"Socio-Economic Planning Sciences"},{"key":"BF02187298_CR2","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1007\/BF01874733","volume":"2","author":"A. Charnes","year":"1985","unstructured":"Charnes, A. and W.W. Cooper, Preface to topics in Data Envelopment Analysis, Annals of Operations Research 2, 1985, 59\u201394.","journal-title":"Annals of Operations Research"},{"key":"BF02187298_CR3","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/0167-6377(86)90082-9","volume":"5","author":"A. Charnes","year":"1986","unstructured":"Charnes, A., W.W. Cooper and R.M. Thrall, Identifying and classifyign scale and technical efficiencies in Data Envelopment Analysis, Operations Research Letters 5, 1986, 105\u2013116.","journal-title":"Operations Research Letters"},{"key":"BF02187298_CR4","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/BF00159732","volume":"2","author":"A. Charnes","year":"1991","unstructured":"Charnes, A., W.W. Cooper and R.M. Thrall, A structure for classifying and characterizing efficiency and inefficiency in Data Envelopment Analysis, Journal of Productivity Analysis 2, 1991, 197\u2013237.","journal-title":"Journal of Productivity Analysis"},{"key":"BF02187298_CR5","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1137\/1036003","volume":"36","author":"A. El-Bakry","year":"1994","unstructured":"El-Bakry, A., R.A. Tapia and Y. Zhang, On the use of indicators in identifying zero variables for interior-point methods, SIAM Review 36, 1994, 45\u201372.","journal-title":"SIAM Review"},{"key":"BF02187298_CR6","first-page":"53","volume-title":"Linear Inequalities and Related Systems","author":"A.J. Goldman","year":"1956","unstructured":"Goldman, A.J. and A.W. Tucker, The theory of linear programming, inLinear Inequalities and Related Systems, H.W. Khun and A.W. Tucker, eds., Annals of Mathematics Studies No. 36, Princeton University Press, Princeton, NJ, 1956, pp. 53\u201397."},{"key":"BF02187298_CR7","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1137\/1034048","volume":"34","author":"C.C. Gonzaga","year":"1992","unstructured":"Gonzaga, C.C., Path-following methods for linear programming, SIAM Review 34, 1992, 167\u2013224.","journal-title":"SIAM Review"},{"key":"BF02187298_CR8","unstructured":"Gonz\u00e1lez-Lima, M.D., Effective computation of the analytic center of the solution set in linear programming using primal-dual interior-point methods, Technical Report TR94-48, Department of Mathematical Sciences, Rice University, 1994."},{"key":"BF02187298_CR9","first-page":"29","volume-title":"Progress in Mathematical Programming, Interior-Point and Related Methods","author":"M. Kojima","year":"1989","unstructured":"Kojima, M., S. Mizuno and A. Yoshise, A primal-dual interior-point method for linear programming, inProgress in Mathematical Programming, Interior-Point and Related Methods, N. Megiddo, ed., Springer, New York, 1989, pp. 29\u201347."},{"key":"BF02187298_CR10","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1137\/0802022","volume":"2","author":"I. Lustig","year":"1992","unstructured":"Lustig, I., R. Marsten and D. Shanno, On implementing Mehrota's predictor-corrector interior-point method for linear programming, SIAM Journal on Optimization 2, 1992, 435\u2013449.","journal-title":"SIAM Journal on Optimization"},{"key":"BF02187298_CR11","doi-asserted-by":"crossref","first-page":"101","DOI":"10.2140\/pjm.1980.88.101","volume":"88","author":"L. McLinden","year":"1980","unstructured":"McLinden, L., An analogue of Moreau's approximation theorem, with application to the nonlinear complementarity problem, Pacific Journal of Mathematics 88, 1980, 101\u2013161.","journal-title":"Pacific Journal of Mathematics"},{"key":"BF02187298_CR12","first-page":"131","volume-title":"Progress in Mathematical Programming, Interior-Point and Related Methods","author":"N. Megiddo","year":"1989","unstructured":"Megiddo, N., Pathways to the optimal set in linear programming, inProgress in Mathematical Programming, Interior-Point and Related Methods, N. Megiddo, ed., Springer, New York, 1989, pp. 131\u2013158."},{"key":"BF02187298_CR13","volume-title":"Convex Analysis","author":"Rockafellar","year":"1972","unstructured":"Rockafellar,Convex Analysis, 2nd printing, Princeton University Press, Princeton, NJ, 1972.","edition":"2nd printing"},{"key":"BF02187298_CR14","series-title":"Lecture Notes in Control and Inf. Sci.","first-page":"866","volume-title":"An analytic center for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming","author":"G. Sonnevend","year":"1985","unstructured":"Sonnevend, G., An analytic center for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming,Lecture Notes in Control and Inf. Sci., vol. 84, A. Prekopa, ed., Springer, Berlin, 1985, pp. 866\u2013876."},{"key":"BF02187298_CR15","volume-title":"Linear Optimization","author":"W.A. Spivey","year":"1970","unstructured":"Spivey, W.A. and R.M. Thrall,Linear Optimization, Holt, Rinehart and Winston, New York, 1970."},{"key":"BF02187298_CR16","unstructured":"Thompson, R.G., P.S. Dharmapala, J. Diaz, M.D. Gonz\u00e1lez-Lima and R.M. Thrall, DEA multiplier analytic center sensitivity with an illustrative application to independent oil companies, Annals of Operations Research, Chapter 7, this volume."},{"key":"BF02187298_CR17","first-page":"293","volume-title":"Data Envelopment Analysis: Theory, Methodology and Applications","author":"R.G. Thompson","year":"1994","unstructured":"Thompson, R.G., P.S. Dharmapala and R.M. Thrall, Sensitivity analysis of efficiency measures with applications to Kansas farming and Illinois coal mining, Chapter 20 inData Envelopment Analysis: Theory, Methodology and Applications, A. Charnes, W.W. Cooper, A.Y. Lewin and L.M. Seiford, eds., Kluwer, Boston, 1994, pp. 293\u2013422."},{"key":"BF02187298_CR18","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/0304-4076(90)90049-Y","volume":"46","author":"R.G. Thompson","year":"1990","unstructured":"Thompson, R.G., L. Langemeier, C.-T. Lee, E. Lee and R.M. Thrall, The role of multiplier bounds in efficiency analysis with application to Kansas farming, Journal of Econometrics 46, 1990, 93\u2013108.","journal-title":"Journal of Econometrics"},{"key":"BF02187298_CR19","unstructured":"Thompson, R.G., P.S. Dharmapala, C.-T. Lee and R.M. Thrall, Fixed weights and DEA,Applications of Management Science, Vol. 7 of Public Policy Applications of Management Science, JAI Press, 1993, pp. 171\u2013191."},{"key":"BF02187298_CR20","doi-asserted-by":"crossref","unstructured":"Zhang, Y. and R.A. Tapia, On the convergence of interior-point methods to the center of the solution set in linear programming, Technical Report TR91-30, Department of Mathematical Science, Rice University, 1991.","DOI":"10.21236\/ADA453126"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02187298.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02187298\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02187298","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,9]],"date-time":"2020-04-09T17:55:57Z","timestamp":1586454957000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02187298"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,4]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1996,4]]}},"alternative-id":["BF02187298"],"URL":"https:\/\/doi.org\/10.1007\/bf02187298","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"value":"0254-5330","type":"print"},{"value":"1572-9338","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,4]]}}}