{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T16:00:23Z","timestamp":1648656023439},"reference-count":44,"publisher":"International Academy Publishing (IAP)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JSW"],"DOI":"10.4304\/jsw.8.1.110-117","type":"journal-article","created":{"date-parts":[[2013,1,21]],"date-time":"2013-01-21T12:11:24Z","timestamp":1358770284000},"source":"Crossref","is-referenced-by-count":1,"title":["An Effective Computational Algorithm for a Class of Linear Multiplicative Programming"],"prefix":"10.17706","volume":"8","author":[{"given":"Jingben","family":"Yin","sequence":"first","affiliation":[]},{"given":"Yutang","family":"Liu","sequence":"additional","affiliation":[]},{"given":"Baolin","family":"Ma","sequence":"additional","affiliation":[]},{"given":"Dongwei","family":"Shi","sequence":"additional","affiliation":[]}],"member":"7163","published-online":{"date-parts":[[2013,1,21]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1098\/rsta.1955.0005","article-title":"On certain integrals of Lipschitz-Hankel type involving products of Bessel functions","volume":"A247","author":"Eason","year":"1955","unstructured":"[1] G. Eason, B. Noble, and I. N. Sneddon, \"On certain integrals of Lipschitz-Hankel type involving products of Bessel functions,\" Phil. Trans. Roy. Soc. London, vol. A247, pp. 529\u2013551, April 1955.","journal-title":"Philos Trans R Soc Lond","ISSN":"http:\/\/id.crossref.org\/issn\/0261-0523","issn-type":"print"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1287\/opre.43.2.264"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01096774"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-005-2655-4"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1023\/A:1011250901810"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1023\/A:1024700901538"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/BF02192573"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004657629105"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008308913266"},{"key":"ref10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-4098-4","volume-title":"Optimization on Low Rank Nonconvex Structures","author":"Konno","year":"1997","unstructured":"[11] H. Konno, P. T. Thach, H. Tuy, Optimization on Low Rank Nonconvex Structures, Kluwer Academic Publishers, (1997)."},{"key":"ref11","doi-asserted-by":"crossref","first-page":"295","DOI":"10.15807\/jorsj.39.295","article-title":"Bond Portfolio Optimization Problems and Their Applications to Index Tracking","volume":"39","author":"Konno","year":"1994","unstructured":"[12] H. Konno, H. Watanabe, Bond Portfolio Optimization Problems and Their Applications to Index Tracking, Journal of the Operation Research Social of Japan, 39, pp. 295-306, 1994.","journal-title":"J Oper Res Soc Jpn","ISSN":"http:\/\/id.crossref.org\/issn\/0453-4514","issn-type":"print"},{"key":"ref12","volume-title":"Microeconomic Theorey","author":"Henderson","year":"1971","unstructured":"[14] J. M. Henderson, and R.E. Quandt, Microeconomic Theorey. 2nd edition, McGraw-Hill, New York, 1971."},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/BF01580893"},{"key":"ref14","first-page":"223","article-title":"Programming with Indefinite Quadratic Function with Linear Constraints","volume":"8","author":"Swarup","year":"1966","unstructured":"[16] H. Swarup, Programming with Indefinite Quadratic Function with Linear Constraints, Cahier du Coutre d'Etudes de Recherche Operationelle, 8, pp. 223-234, 1966.","journal-title":"Cahier du Coutre d Etudes de Recherche Operationelle"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.04.076"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.08.015"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.12.007"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.02.159"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2007.12.039"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008314922240"},{"issue":"4","key":"ref21","first-page":"13","article-title":"An Acelerating Algorithm for a Class of Multiplicative Programming","volume":"24","author":"Wang","year":"2011","unstructured":"[23] C. Wang, et al. An Acelerating Algorithm for a Class of Multiplicative Programming, Mathematica Applicata, 24 (4), pp. 13-15, 2011.","journal-title":"Mathematica Applicata"},{"issue":"5","key":"ref22","first-page":"13","article-title":"An approximate algorithm for solving generalized linear multiplicative programming","volume":"36","author":"Xue","year":"2008","unstructured":"[24] C. Xue, H. Jiao,et al., An approximate algorithm for solving generalized linear multiplicative programming, Journal of Henan Normal University (Natural Science), 36 (5), pp. 13-15, 2008.","journal-title":"Journal of Henan Normal University"},{"key":"ref23","first-page":"391","article-title":"Reverse Polyblock Approximation for Generalized Multiplicative\/Fractional Programming","volume":"31","author":"Tuy","year":"2003","unstructured":"[25] H. Tuy, N. D. Nghia. Reverse Polyblock Approximation for Generalized Multiplicative\/Fractional Programming, VN Journal of Mathematics, 31, pp. 391-402, 2003.","journal-title":"VN Journal of Mathematics"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/BF02192573"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.11.111"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-009-9460-9"},{"key":"ref27","first-page":"377","article-title":"Global Maximization of a Generalized Concave Multiplicative Problem in the Outcome Space","volume":"3","author":"Ashtiani","year":"2010","unstructured":"[29] A. M. Ashtiani, P. A. V. Ferreira, Global Maximization of a Generalized Concave Multiplicative Problem in the Outcome Space, Anais do CNMAC, 3,pp. 377-383, 2010.","journal-title":"Anais do CNMAC"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023274721632"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2008.11.002"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.09.002"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/BF00119935"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.05.074"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2010.10.016"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.05.102"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/s10957-007-9323-9"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/BF01096534"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008203116882"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02947-3"},{"issue":"4","key":"ref39","first-page":"1243","article-title":"A kind of computational method for solving a class of fractional problems using deleting technique","volume":"6","author":"Mao","year":"2010","unstructured":"[43] H. Mao, Q. Feng, A kind of computational method for solving a class of fractional problems using deleting technique, Journal of Computational Information Systems, 6(4), pp. 1243-1250, 2010.","journal-title":"J Comput Inf Syst","ISSN":"http:\/\/id.crossref.org\/issn\/0887-4417","issn-type":"print"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2003.08.113"},{"key":"ref40","doi-asserted-by":"crossref","unstructured":"[2] I. Quesada and I.E. Grossmann, Alternative bounding approximations for the global optimization of various engineering design problems. In I.E. Grossmann, (ed.), Global Optimization in Engineering Design, Vol. 9 Nonconvex Optimization and Its Applications, Kluwer Academic Publishers, Norwell, MA, pp. 309-331, 1996.","DOI":"10.1016\/j.amc.2003.08.113"},{"key":"ref40","doi-asserted-by":"crossref","unstructured":"[13] C. D. Maranas, I. P. Androulakis, C. A. Floudas, A. J. Berger and J. M. Mulvey, Solving long-term financial planning problems via global optimization, J. Economic Dynamics \\& Control, 21, pp.1405-1425, 1997.","DOI":"10.1016\/j.amc.2003.08.113"},{"key":"ref40","doi-asserted-by":"crossref","unstructured":"[37] H. Jiao, A branch and bound algorithm for globally solving a class of nonconvex programming problems, Nonlinear Analysis: Theory, Methods \\& Applications, 70, pp. 1113-1123, 2009.","DOI":"10.1016\/j.amc.2003.08.113"},{"key":"ref40","doi-asserted-by":"crossref","unstructured":"[38] P. Shen, X. Bai, W. Li, A new accelerating method for globally solving a class of nonconvex programming problems, Nonlinear Analysis: Theory, Methods \\& Applications, 71(7-8), pp. 2866-2876, 2009.","DOI":"10.1016\/j.amc.2003.08.113"}],"container-title":["Journal of Software"],"original-title":[],"deposited":{"date-parts":[[2019,7,8]],"date-time":"2019-07-08T15:31:45Z","timestamp":1562599905000},"score":1,"resource":{"primary":{"URL":"http:\/\/ojs.academypublisher.com\/index.php\/jsw\/article\/view\/7467"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1,21]]},"references-count":44,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2013,1,21]]}},"URL":"https:\/\/doi.org\/10.4304\/jsw.8.1.110-117","relation":{},"ISSN":["1796-217X"],"issn-type":[{"value":"1796-217X","type":"print"}],"subject":[],"published":{"date-parts":[[2013,1,21]]}}}