{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,22]],"date-time":"2023-11-22T00:30:06Z","timestamp":1700613006865},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1982,12,1]],"date-time":"1982-12-01T00:00:00Z","timestamp":407548800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Programming"],"published-print":{"date-parts":[[1982,12]]},"DOI":"10.1007\/bf01581036","type":"journal-article","created":{"date-parts":[[2005,4,28]],"date-time":"2005-04-28T05:55:29Z","timestamp":1114667729000},"page":"163-201","source":"Crossref","is-referenced-by-count":14,"title":["On the computational utility of posynomial geometric programming solution methods"],"prefix":"10.1007","volume":"22","author":[{"given":"J. E.","family":"Fattler","sequence":"first","affiliation":[]},{"given":"G. V.","family":"Reklaitis","sequence":"additional","affiliation":[]},{"given":"Y. T.","family":"Sin","sequence":"additional","affiliation":[]},{"given":"R. R.","family":"Root","sequence":"additional","affiliation":[]},{"given":"K. M.","family":"Ragsdell","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","volume-title":"Program package for design optimization","author":"K.A. Afimalwa","year":"1974","unstructured":"K.A. Afimalwa, \u201cProgram package for design optimization\u201d, Department of Mechanical Engineering SUNY (Buffalo, 1974)."},{"key":"CR2","first-page":"184","volume":"15","author":"P.A. Beck","year":"1975","unstructured":"P.A. Beck and J.G. Ecker, \u201cA modified concave simplex algorithm for geometric programming\u201d,Journal of Optimization Theory and Applications 15 (1975) 184\u2013202.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"CR3","volume-title":"The development of polynomial programming algorithms with applications","author":"J. Bradley","year":"1975","unstructured":"J. Bradley, \u201cThe development of polynomial programming algorithms with applications\u201d, Dissertation, Dublin University (Dublin, Ireland, 1975)."},{"key":"CR4","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/BF00933405","volume":"26","author":"R.S. Dembo","year":"1978","unstructured":"R.S. Dembo, \u201cDual to primal conversion in geometric programming\u201d,Journal of Optimization Theory and Applications 26 (1978) 243\u2013251.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"CR5","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/BF00933402","volume":"26","author":"R.S. Dembo","year":"1978","unstructured":"R.S. Dembo, \u201cThe current state-of-the-art of algorithms and computer software for geometric programming\u201d,Journal of Optimization Theory and Applications 26 (1978) 149\u2013184.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"CR6","volume-title":"GGP: A computer program for the solution of generalized geometric programming problems","author":"R.S. Dembo","year":"1975","unstructured":"R.S. Dembo, \u201cGGP: A computer program for the solution of generalized geometric programming problems\u201d, Users Manual, McMaster University (Hamilton, Ontario, 1975)."},{"key":"CR7","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1007\/BF01584337","volume":"13","author":"J.J. Dinkel","year":"1977","unstructured":"J.J. Dinkel, W.H. Elliot and G.A. Kochenberger, \u201cComputational aspects of cutting plane algorithms for geometric programming problems\u201d,Mathematical Programming 13 (1977) 200\u2013220.","journal-title":"Mathematical Programming"},{"key":"CR8","volume-title":"Geometric programming","author":"R.J. Duffin","year":"1968","unstructured":"R.J. Duffin, E.L. Peterson and C. Zener,Geometric programming (Wiley, New York, 1968)."},{"key":"CR9","unstructured":"E.D. Eason, \u201cValidity of Colville's time standardization for comparing optimization codes\u201d, ASME Paper 77 DET 116 (1977)."},{"key":"CR10","series-title":"The Modern Design Series","volume-title":"OPT: A nonlinear programming code in FORTRAN IV","author":"G.A. Gabriele","year":"1976","unstructured":"G.A. Gabriele and K.M. Ragsdell, \u201cOPT: A nonlinear programming code in FORTRAN IV\u201d, The Modern Design Series, Vol. 1, Purdue Research Foundation, (West Lafayette, IN, 1976)."},{"key":"CR11","volume-title":"Introduction to mathematical statistics","author":"P.G. Hoel","year":"1962","unstructured":"P.G. Hoel,Introduction to mathematical statistics (Wiley, New York, 1962)."},{"key":"CR12","unstructured":"G.V. Reklaitis and D.J. Wilde, \u201cA differential algorithm for posynomial programs\u201d,Dechema Monographien (1970) 324\u2013350."},{"key":"CR13","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1080\/05695557408974969","volume":"6","author":"G.V. Reklaitis","year":"1974","unstructured":"G.V. Reklaitis and D.J. Wilde, \u201cGeometric programming via a primal auxiliary problem\u201d,AIIE Transactions 6 (1974) 308\u2013317.","journal-title":"AIIE Transactions"},{"key":"CR14","volume-title":"\u201cNumerical aspects of the use of slack variables in geometric programming\u201d, Report CI-RM-750","author":"M.J. Rijckaert","year":"1975","unstructured":"M.J. Rijckaert and X.M. Martens, \u201cNumerical aspects of the use of slack variables in geometric programming\u201d, Report CI-RM-750, Katholieke Universiteit (Leuven, Belgium, 1975)."},{"key":"CR15","volume-title":"\u201cA comparison of generalized GP algorithms\u201d, Report CE-RM-7503","author":"M.H. Rijckaert","year":"1975","unstructured":"M.H. Rijckaert and X.M. Martens, \u201cA comparison of generalized GP algorithms\u201d, Report CE-RM-7503, Katholieke Universiteit (Leuven, Belgium, 1975)."},{"key":"CR16","volume-title":"\u201cGPKTC: A generalized geometric programming code\u201d, Report CE-RM-7601","author":"M.J. Rijckaert","year":"1976","unstructured":"M.J. Rijckaert and X.M. Martens, \u201cGPKTC: A generalized geometric programming code\u201d, Report CE-RM-7601, Katholieke Universiteit (Leuven, Belgium, 1976)."},{"key":"CR17","volume-title":"An investigation of the method of multipliers","author":"R.R. Root","year":"1977","unstructured":"R.R. Root, \u201cAn investigation of the method of multipliers\u201d, Dissertation, Purdue University (West Lafayette, IN 1977)."},{"key":"CR18","volume-title":"The utility of nonlinear programming algorithms","author":"E. Sandgren","year":"1977","unstructured":"E. Sandgren, \u201cThe utility of nonlinear programming algorithms\u201d, Dissertation, Purdue University (West Lafayette, IN, 1977)."},{"key":"CR19","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/BF00933403","volume":"26","author":"P.V.L.N. Sarma","year":"1978","unstructured":"P.V.L.N. Sarma, X.M. Martens, G.V. Reklaitis and M.J. Rijckaert, \u201cA comparison of computational strategies for geometric programs\u201d,Journal of Optimization Theory and Applications 26 (1978) 185\u2013203.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"CR20","unstructured":"S.B. Schuldt, Honeywell Corporation, Bloomington, MN."},{"key":"CR21","doi-asserted-by":"crossref","first-page":"1305","DOI":"10.1115\/1.3438753","volume":"97","author":"S.B. Schuldt","year":"1975","unstructured":"S.B. Schuldt, K.M. Ragsdell, G.A. Gabriele, R.R. Root and E. Sandgren, \u201cApplication of a new penalty function method to design optimization\u201d,Journal of Engineering for Industry ASME, Series B, 97 (1975) 1305\u20131310.","journal-title":"Journal of Engineering for Industry ASME, Series B"}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01581036.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01581036\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01581036","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,3]],"date-time":"2019-05-03T11:12:14Z","timestamp":1556881934000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01581036"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1982,12]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1982,12]]}},"alternative-id":["BF01581036"],"URL":"https:\/\/doi.org\/10.1007\/bf01581036","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1982,12]]}}}