{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,25]],"date-time":"2025-10-25T11:48:14Z","timestamp":1761392894687,"version":"3.41.2"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2001,10,1]],"date-time":"2001-10-01T00:00:00Z","timestamp":1001894400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2001,10,1]],"date-time":"2001-10-01T00:00:00Z","timestamp":1001894400000},"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":["Computational Optimization and Applications"],"published-print":{"date-parts":[[2001,10]]},"DOI":"10.1023\/a:1011267305444","type":"journal-article","created":{"date-parts":[[2002,12,23]],"date-time":"2002-12-23T04:18:21Z","timestamp":1040617101000},"page":"23-42","source":"Crossref","is-referenced-by-count":24,"title":["Norm-Based Approximation in Bicriteria Programming"],"prefix":"10.1007","volume":"20","author":[{"given":"Bernd","family":"Schandl","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kathrin","family":"Klamroth","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Margaret M.","family":"Wiecek","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"353473_CR1","unstructured":"W. Adams, M. Coffin, P. Kiessler, K.B. Kulasekera, M.J. Saltzman, and M. Wiecek, \u201cAn optimization-based framework for affordable science and technology decisions at the Office of Naval Research,\u201d Clemson Report, October 16, 1998. Available at http:\/\/www.math.clemson.edu\/affordability\/reports.html (15.12.1999)."},{"key":"353473_CR2","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1007\/BF00934453","volume":"29","author":"G.R. Bitran","year":"1979","unstructured":"G.R. Bitran and T.L. Magnanti, \u201cThe structure of admissible points with respect to cone dominance,\u201d Journal of Optimization Theory and Applications, vol. 29, pp. 573\u2013614, 1979.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"353473_CR3","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1115\/1.2829440","volume":"121","author":"W. Chen","year":"1999","unstructured":"W. Chen, M.M. Wiecek, and J. Zhang, \u201cQuality utility\u2014a compromise programming approach to robust design,\u201d ASME Journal of Mechanical Design, vol. 121, pp. 179\u2013187, 1999.","journal-title":"ASME Journal of Mechanical Design"},{"key":"353473_CR4","volume-title":"Multiobjective Programming and Planning","author":"J.L. Cohon","year":"1978","unstructured":"J.L. Cohon, Multiobjective Programming and Planning. Academic Press, New York, 1978."},{"key":"353473_CR5","first-page":"411","volume":"2","author":"I. Das","year":"1999","unstructured":"I. Das, \u201cAn improved technique for choosing parameters for Pareto surface generation using normal\u2013boundary intersection,\u201d in Short Paper Proceedings of the Third World Congress of Structural and Multidisciplinary Optimization, vol. 2, pp. 411\u2013413, 1999.","journal-title":"An improved technique for choosing parameters for Pareto surface generation using normal\u2013boundary intersection"},{"key":"353473_CR6","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1016\/0377-2217(89)90443-8","volume":"42","author":"B. Fruhwirth","year":"1989","unstructured":"B. Fruhwirth, R.E. Burkard, and G. Rote, \u201cApproximation of convex curves with application to the bicriterial minimum cost flow problem,\u201d European Journal of Operational Research, vol. 42, pp. 326\u2013338, 1989.","journal-title":"European Journal of Operational Research"},{"key":"353473_CR7","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1023\/A:1018951502447","volume":"96","author":"H.W. Hamacher","year":"2000","unstructured":"H.W. Hamacher and K. Klamroth, \u201cPlanar Weber location problems with barriers and block norms,\u201d Annals of Operations Research, vol. 96, pp. 191\u2013208, 2000.","journal-title":"Annals of Operations Research"},{"key":"353473_CR8","volume-title":"Implementation of multiple criteria dynamic programming procedures for affordable decision making","author":"R.L. Hartman","year":"1999","unstructured":"R.L. Hartman, \u201cImplementation of multiple criteria dynamic programming procedures for affordable decision making,\u201d Master's Thesis, Clemson University, Clemson, SC. Available at http:\/\/www.math.clemson. edu\/affordability\/publications.html (15.12.1999), 1999."},{"key":"353473_CR9","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/BF00939894","volume":"74","author":"J. Jahn","year":"1992","unstructured":"J. Jahn and A. Merkel, \u201cReference point approximation method for the solution of bicriterial nonlinear optimization problems,\u201d Journal of Optimization Theory and Applications, vol. 74, pp. 87\u2013103, 1992.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"353473_CR10","volume-title":"Approximating the Pareto set of convex bi-criteria optimization problems to aid decision making in design","author":"Y. Li","year":"1999","unstructured":"Y. Li, \u201cApproximating the Pareto set of convex bi-criteria optimization problems to aid decision making in design,\u201d PhD Thesis, Clemson University, Clemson, SC, 1999."},{"key":"353473_CR11","doi-asserted-by":"crossref","unstructured":"Y. Li, G.M. Fadel, and M.M. Wiecek, \u201cApproximating Pareto curves using the hyper-ellipse,\u201d in Proc. 7th AIAA\/USAF\/NASA\/ISSMO Multidisciplinary Analysis and Optimization Symposium, Part 3, Paper No. 98\u20134961, 1998, pp. 1990\u20132002.","DOI":"10.2514\/6.1998-4961"},{"key":"353473_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-50280-4","volume-title":"Theory of Vector Optimization","author":"D.T. Luc","year":"1989","unstructured":"D.T. Luc, Theory of Vector Optimization. Number 319 in Lecture Notes in Economics and Mathematical Systems, Springer-Verlag: Berlin, 1989."},{"key":"353473_CR13","unstructured":"D.N. Mavris and M.R. Kirby, \u201cTechnology identification, evaluation, and selection for commercial transport aircraft,\u201d Presented at the 58th Annual Conference of the Society of AlliedWeight Engineers in May 1999 in San Jose, CA. Available at http:\/\/alpha.cad.gatech.edu\/pubs\/ (15.12.1999), 1999."},{"key":"353473_CR14","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1002\/1520-6750(199208)39:5<669::AID-NAV3220390506>3.0.CO;2-W","volume":"39","author":"I. Murthy","year":"1992","unstructured":"I. Murthy and S.S. Her, \u201cSolving min\u2013max shortest-path problems on a network,\u201d Naval Research Logistics, vol. 39, pp. 669\u2013683, 1992.","journal-title":"Naval Research Logistics"},{"key":"353473_CR15","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1007\/BF00934564","volume":"42","author":"A. Pascoletti","year":"1984","unstructured":"A. Pascoletti and P. Serafini, \u201cScalarizing vector optimization problems,\u201d Journal of Optimization Theory and Applications, vol. 42, pp. 499\u2013524, 1984.","journal-title":"Journal of Optimization Theory and Applications"},{"issue":"6","key":"353473_CR16","doi-asserted-by":"crossref","first-page":"1219","DOI":"10.1016\/0016-0032(93)90073-4","volume":"330","author":"A.N. Payne","year":"1993","unstructured":"A.N. Payne, \u201cEfficient approximate representation of bi-objective tradeoff sets,\u201d Journal of the Franklin Institute, vol. 330, no. 6, pp. 1219\u20131233, 1993.","journal-title":"Journal of the Franklin Institute"},{"key":"353473_CR17","unstructured":"L.I. Poli\u0161\u010duk, \u201cPiecewise-linear approximation of the Pareto boundary of convex two-criteria problems,\u201d in Models and Methods of Investigating Economic Systems, \u201cNauka\u201d Sibirsk. Otdel., Novosibirsk (in Russian), pp. 108\u2013116, 1979."},{"key":"353473_CR18","volume-title":"Mathematics in Science and Engineering","author":"Y. Sawaragi","year":"1985","unstructured":"Y. Sawaragi, H. Nakayama, and T. Tanino, \u201cTheory of multiobjective optimization,\u201d vol. 176 of Mathematics in Science and Engineering, Academic Press., Inc., Orlando, FL, 1985."},{"key":"353473_CR19","volume-title":"Norm-based evaluation and approximation in multicriteria programming","author":"B. Schandl","year":"1999","unstructured":"B. Schandl, \u201cNorm-based evaluation and approximation in multicriteria programming,\u201d PhD. Thesis, Clemson University, Clemson, SC. Available at http:\/\/www.math.clemson.edu\/affordability\/publications.html (15.12.1999), 1999."},{"key":"353473_CR20","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1007\/BF02591870","volume":"26","author":"R.E. Steuer","year":"1983","unstructured":"R.E. Steuer and E.U. Choo, \u201cAn interactive weighted Tchebycheff procedure for multiple objective programming,\u201d Mathematical Programming, vol. 26, pp. 326\u2013344, 1983.","journal-title":"Mathematical Programming"},{"key":"353473_CR21","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1287\/opre.35.1.70","volume":"35","author":"A. Warburton","year":"1987","unstructured":"A. Warburton, \u201cApproximation of Pareto optima in multiple-objective, shortest-path problems,\u201d Operations Research, vol. 35, pp. 70\u201379, 1987.","journal-title":"Operations Research"},{"key":"353473_CR22","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0377-2217(95)00368-1","volume":"97","author":"X.Q. Yang","year":"1997","unstructured":"X.Q. Yang and C.J. Goh, \u201cA method for convex curve approximation,\u201d European Journal of Operational Research, vol. 97, pp. 205\u2013212, 1997.","journal-title":"European Journal of Operational Research"},{"key":"353473_CR23","volume-title":"An Interactive Multiobjective Robust Design Procedure","author":"J. Zhang","year":"1999","unstructured":"J. Zhang, An Interactive Multiobjective Robust Design Procedure. Master's thesis, Clemson University, Clemson, SC, 1999."},{"key":"353473_CR24","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1115\/1.533571","volume":"122","author":"J. Zhang","year":"2000","unstructured":"J. Zhang, M.M. Wiecek, and W. Chen, \u201cLocal approximation of the efficient frontier in robust design,\u201d ASME Journal of Mechanical Design, vol. 122, pp. 232\u2013236, 2000.","journal-title":"ASME Journal of Mechanical Design"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1011267305444.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1011267305444\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1011267305444.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,13]],"date-time":"2025-07-13T03:23:04Z","timestamp":1752376984000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1011267305444"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,10]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2001,10]]}},"alternative-id":["353473"],"URL":"https:\/\/doi.org\/10.1023\/a:1011267305444","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"type":"print","value":"0926-6003"},{"type":"electronic","value":"1573-2894"}],"subject":[],"published":{"date-parts":[[2001,10]]}}}