{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T14:47:00Z","timestamp":1726066020957},"publisher-location":"Singapore","reference-count":36,"publisher":"Springer Singapore","isbn-type":[{"type":"print","value":"9789811527661"},{"type":"electronic","value":"9789811527678"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-981-15-2767-8_43","type":"book-chapter","created":{"date-parts":[[2020,1,25]],"date-time":"2020-01-25T15:02:35Z","timestamp":1579964555000},"page":"492-506","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Resultant Gradient Flow Method for Multiple Objective Programming Based on Efficient Computing"],"prefix":"10.1007","author":[{"given":"Bao","family":"Feng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peixin","family":"He","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunyao","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Junfeng","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peng","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haichang","family":"Yao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yimu","family":"Ji","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Min","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiekui","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Youtao","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peizhuang","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong","family":"Shi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"He","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hui","family":"Zheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yang","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,1,26]]},"reference":[{"key":"43_CR1","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/S0377-2217(77)81007-2","volume":"1","author":"A Charnes","year":"1977","unstructured":"Charnes, A., Cooper, W.W.: Goal programming and multi-objective optimization, part I. Eur. J. Oper. Res. 1, 39\u201354 (1977)","journal-title":"Eur. J. Oper. Res."},{"key":"43_CR2","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1016\/0377-2217(83)90153-4","volume":"12","author":"S Schaible","year":"1983","unstructured":"Schaible, S.: Fractional programming. Eur. J. Oper. Res. 12, 325\u2013338 (1983)","journal-title":"Eur. J. Oper. Res."},{"key":"43_CR3","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/BF00941314","volume":"47","author":"J Grouzeix","year":"1985","unstructured":"Grouzeix, J., Ferland, J.A., Schaible, S.: An algorithm for generalized fractional programs. J. Optim. Theory Appl. 47, 35\u201349 (1985)","journal-title":"J. Optim. Theory Appl."},{"key":"43_CR4","first-page":"66","volume":"1","author":"Z Xu","year":"1983","unstructured":"Xu, Z.: Solution of a fractional programming problem. J. Shanghai Univ. Technol. 1, 66\u201372 (1983)","journal-title":"J. Shanghai Univ. Technol."},{"key":"43_CR5","unstructured":"Xu, Z.: Solving Generalized Fractional Programming by Programming with P+1 Parameters. Zhejiang Normal University (1986)"},{"key":"43_CR6","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1007\/s10957-008-9410-6","volume":"139","author":"HC Lai","year":"2008","unstructured":"Lai, H.C., Huang, T.Y.: Minimax fractional programming for n-set functions and mixed-type duality under generalized convexity. J. Optim. Theory Appl. 139, 295\u2013313 (2008)","journal-title":"J. Optim. Theory Appl."},{"key":"43_CR7","doi-asserted-by":"publisher","first-page":"562","DOI":"10.1006\/jmaa.2001.7542","volume":"261","author":"M Hanson","year":"2001","unstructured":"Hanson, M.: Multi-objective programming under generalized type. J. Math. Anal. Appl. 261, 562\u2013577 (2001)","journal-title":"J. Math. Anal. Appl."},{"key":"43_CR8","first-page":"5","volume":"27","author":"W Wang","year":"2010","unstructured":"Wang, W.: Sufficient optimality conditions for minimax fractional programming of set functions. Xi\u2019an Univ. Electron. Sci. Technol. 27, 5 (2010)","journal-title":"Xi\u2019an Univ. Electron. Sci. Technol."},{"key":"43_CR9","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1007\/s10898-008-9315-9","volume":"44","author":"V Preda","year":"2009","unstructured":"Preda, V., Stancu-Minasian, I., Beldiman, M.: Generalized V-Type-l for multi-objective programming with N-set functions. J. Glob. Optim. 44, 131\u2013148 (2009)","journal-title":"J. Glob. Optim."},{"key":"43_CR10","first-page":"2","volume":"33","author":"W Wang","year":"2011","unstructured":"Wang, W.: Sufficient optimality conditions for minimax fractional programming of n-set functions. Xi\u2019an Univ. Electron. Sci. Technol. 33, 2 (2011)","journal-title":"Xi\u2019an Univ. Electron. Sci. Technol."},{"key":"43_CR11","doi-asserted-by":"publisher","first-page":"484","DOI":"10.1017\/S0334270000006809","volume":"31","author":"SR Yadav","year":"1990","unstructured":"Yadav, S.R., Mukherjee, R.N.: Duality for fractional minimax programming problem. J. Aust. Math. Soc. (Ser. B) 31, 484\u2013492 (1990)","journal-title":"J. Aust. Math. Soc. (Ser. B)"},{"key":"43_CR12","doi-asserted-by":"publisher","first-page":"376","DOI":"10.1017\/S1446788700038362","volume":"58","author":"S Chandra","year":"1995","unstructured":"Chandra, S., Kumar, V.: Duality in fractional minimax programming. J. Aust. Math. Soc. (Ser. A) 58, 376\u2013386 (1995)","journal-title":"J. Aust. Math. Soc. (Ser. A)"},{"key":"43_CR13","first-page":"35","volume":"32","author":"GJ Zalmai","year":"1987","unstructured":"Zalmai, G.J.: Optimality criteria and duality for a class of minimax programming problems with generalized conditions. Utilitas Mathematica 32, 35\u201337 (1987)","journal-title":"Utilitas Mathematica"},{"key":"43_CR14","unstructured":"Luo, C.: Solving Nonlinear Constrained Optimization Problem by Chaotic Search, p. 8. Shanghai Jiaotong University (2000)"},{"key":"43_CR15","unstructured":"Qian, F.: A hybrid algorithms for global optimum search by chaos. 27(3), 232\u2013235 (1998)"},{"key":"43_CR16","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1007\/BF00927673","volume":"4","author":"MR Hestenes","year":"1969","unstructured":"Hestenes, M.R.: Multiplier and gradient method. J. Optim. Theory 4, 303\u2013320 (1969)","journal-title":"J. Optim. Theory"},{"key":"43_CR17","unstructured":"Liu, D.: Solving Mixed Integer Nonlinear Programming Problem by Improved Particle Swarm Optimization. Wuhan University of Science and Technology, p. 6 (2005)"},{"key":"43_CR18","unstructured":"Chi, T.: Solving of Gasoline Blending Nonlinear Model and Oil Online Blending. Dalian University of Technology, p. 12 (2007)"},{"key":"43_CR19","unstructured":"Wang, P.Z., He, J., et al.: Linear adjusting programming in factor space. Submitted to CCPE"},{"issue":"10","key":"43_CR20","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/S0959-1524(99)00037-2","volume":"10","author":"A Singh","year":"2000","unstructured":"Singh, A., Forbes, J.F., Vermeer, P.J., Woo, S.S.: Model-based real-time optimization of automotive gasoline blending operations. J. Process Control 10(10), 43\u201358 (2000)","journal-title":"J. Process Control"},{"key":"43_CR21","first-page":"45","volume":"02","author":"PZ Wang","year":"1982","unstructured":"Wang, P.Z., Sugeno, M.: Factorial field and the background structure of fuzzy sets. Fuzzy Math. 02, 45\u201354 (1982)","journal-title":"Fuzzy Math."},{"issue":"1","key":"43_CR22","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1287\/opre.50.1.42.17798","volume":"50","author":"GB Dantzig","year":"2002","unstructured":"Dantzig, G.B.: Linear programming. Oper. Res. 50(1), 42\u201347 (2002)","journal-title":"Oper. Res."},{"issue":"1","key":"43_CR23","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1142\/S0219622011004221","volume":"10","author":"PZ Wang","year":"2011","unstructured":"Wang, P.Z.: Cone-cutting: a variant representation of pivot in Simplex. Inf. Technol. Decis. Making 10(1), 65\u201382 (2011)","journal-title":"Inf. Technol. Decis. Making"},{"issue":"1","key":"43_CR24","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/s40745-014-0005-9","volume":"1","author":"PZ Wang","year":"2014","unstructured":"Wang, P.Z.: Discussions on Hirsch conjecture and the existence of strongly polynomial-time simplex variants. Ann. Data Sci. 1(1), 41\u201371 (2014). \nhttps:\/\/doi.org\/10.1007\/s40745-014-0005-9","journal-title":"Ann. Data Sci."},{"issue":"2","key":"43_CR25","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1007\/s40745-017-0108-1","volume":"4","author":"PZ Wang","year":"2017","unstructured":"Wang, P.Z., Lui, H.C., Liu, H.T., Guo, S.C.: Gravity sliding algorithm for linear programming. Ann. Data Sci. 4(2), 193\u2013210 (2017). \nhttps:\/\/doi.org\/10.1007\/s40745-017-0108-1","journal-title":"Ann. Data Sci."},{"key":"43_CR26","unstructured":"Hubbard, J.H., Hubbard, B.B.: Vector Calculus, Linear Algebra, and Differential Forms. A Unified Approach. Prentice-Hall, Upper Saddle River (1999). ISBN 0-13-657446-7"},{"key":"43_CR27","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1007\/BF02310791","volume":"35","author":"J Roll","year":"1970","unstructured":"Roll, J., Chang, J.J.: Analysis of individual differences in multidimensional scaling via an n-way generalization of \u2018Eckart-Young\u2019 decomposition. Psychometrika 35, 283\u2013319 (1970)","journal-title":"Psychometrika"},{"key":"43_CR28","unstructured":"Harshman, R.A.: Foundations of the PARAFAC procedure: models and conditions for an explanatory multi-modal factor analysis. UCLA Working Pap. Phonetics 16(1), 84 (1970)"},{"issue":"3","key":"43_CR29","first-page":"408","volume":"22","author":"BB Chang","year":"2001","unstructured":"Chang, B.B., Zhang, Q.L., Xie, L., et al.: The application of NIR in oil blending. Chin. J. Sci. Instrument 22(3), 408\u2013410 (2001)","journal-title":"Chin. J. Sci. Instrument"},{"key":"43_CR30","unstructured":"Xiong, F., Zhang, X., Li, S., Gai, Y.: Nonlinear planning for oilfield development based on profit maximization. School of Information and Control Engineering, University of Petroleum, vol. 28, no. 1 (2004)"},{"issue":"6","key":"43_CR31","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1007\/BF02416672","volume":"32","author":"MS Belokvostov","year":"1996","unstructured":"Belokvostov, M.S., Okorokov, V.A.: System for blending gasoline distiliates. Chem. Pet. Eng. 32(6), 543\u2013544 (1996)","journal-title":"Chem. Pet. Eng."},{"issue":"4","key":"43_CR32","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1016\/j.foodchem.2004.06.045","volume":"91","author":"H Mamat","year":"2004","unstructured":"Mamat, H., Aini, I.N., Said, M., Jamaludin, R.: Physicochemical characteristics of palm oil and sunflower oil blends fractionated at different temperatures. Food Chem. 91(4), 731\u2013736 (2004)","journal-title":"Food Chem."},{"key":"43_CR33","doi-asserted-by":"publisher","first-page":"9009","DOI":"10.1007\/s00500-018-3509-y","volume":"23","author":"Y Guo","year":"2018","unstructured":"Guo, Y., He, J., Xua, L., Liu, W.: A novel multi-objective particle swarm optimization for comprehensible credit scoring. Soft Comput. 23, 9009\u20139023 (2018). \nhttps:\/\/doi.org\/10.1007\/s00500-018-3509-y\n\n. (Impact Factor: 2.367)","journal-title":"Soft Comput."},{"issue":"9","key":"43_CR34","doi-asserted-by":"publisher","first-page":"3053","DOI":"10.1007\/s00500-017-2953-4","volume":"23","author":"Z Zhang","year":"2019","unstructured":"Zhang, Z., He, J., Gao, G., Tian, Y.: Sparse multi-criteria optimization classifier for credit risk evaluation. Soft. Comput. 23(9), 3053\u20133066 (2019)","journal-title":"Soft. Comput."},{"issue":"6","key":"43_CR35","doi-asserted-by":"publisher","first-page":"826","DOI":"10.1109\/TKDE.2010.43","volume":"22","author":"Jing He","year":"2010","unstructured":"He, J., Zhang, Y., Shi, Y., Huang, G.: Domain-driven classification based on multiple criteria and multiple constraint-level programming for intelligent credit scoring. IEEE Trans. Knowl. Data Eng. 22(6), 826\u2013838 (2010). (ERA A, 2011 Impact Factor: 1.657, SNIP 3.576)","journal-title":"IEEE Transactions on Knowledge and Data Engineering"},{"issue":"5-6","key":"43_CR36","doi-asserted-by":"publisher","first-page":"903","DOI":"10.1016\/j.camwa.2004.02.011","volume":"49","author":"Yong Shi","year":"2005","unstructured":"Shi, Y., He, J., et al.: Computer-based algorithms for multiple criteria and multiple constraint level integer linear programming. Comput. Math. Appl. 49(5), 903\u2013921 (2005). (ERA Rank A, ISI Impact Factor: 1.472, SNIP 1.248)","journal-title":"Computers & Mathematics with Applications"}],"container-title":["Communications in Computer and Information Science","Parallel Architectures, Algorithms and Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-15-2767-8_43","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,25]],"date-time":"2020-01-25T15:08:50Z","timestamp":1579964930000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-981-15-2767-8_43"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9789811527661","9789811527678"],"references-count":36,"URL":"https:\/\/doi.org\/10.1007\/978-981-15-2767-8_43","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"26 January 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"PAAP","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Symposium on Parallel Architectures, Algorithms and Programming","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Guangzhou","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12 December 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14 December 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"10","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"paap2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/sdcs.sysu.edu.cn\/paap2019","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"121","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"39","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"8","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"32% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"6","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}