{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T05:02:23Z","timestamp":1777698143585,"version":"3.51.4"},"publisher-location":"Cham","reference-count":77,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783030023560","type":"print"},{"value":"9783030023577","type":"electronic"}],"license":[{"start":{"date-parts":[[2018,12,8]],"date-time":"2018-12-08T00:00:00Z","timestamp":1544227200000},"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":[[2019]]},"DOI":"10.1007\/978-3-030-02357-7_16","type":"book-chapter","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T19:15:41Z","timestamp":1544210141000},"page":"327-349","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Solving Constrained Non-linear Integer and Mixed-Integer Global Optimization Problems Using Enhanced Directed Differential Evolution Algorithm"],"prefix":"10.1007","author":[{"given":"Ali Khater","family":"Mohamed","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ali Wagdy","family":"Mohamed","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ehab Zaki","family":"Elfeky","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohamed","family":"Saleh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,12,8]]},"reference":[{"key":"16_CR1","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/j.ins.2012.01.008","volume":"194","author":"AW Mohamed","year":"2012","unstructured":"Mohamed, A.W., Sabry, H.Z.: Constrained optimization based on modified differential evolution algorithm. Inf. Sci. 194, 171\u2013208 (2012)","journal-title":"Inf. Sci."},{"issue":"2","key":"16_CR2","doi-asserted-by":"crossref","first-page":"1679","DOI":"10.1016\/j.asoc.2010.04.024","volume":"11","author":"R Mallipeddi","year":"2011","unstructured":"Mallipeddi, R., Suganthan, P.N., Pan, Q.K., Tasgetiren, M.F.: Differential evolution algorithm with ensemble of parameters and mutation strategies. Appl. Soft Comput. 11(2), 1679\u20131696 (2011)","journal-title":"Appl. Soft Comput."},{"key":"16_CR3","doi-asserted-by":"crossref","unstructured":"Hassanien, A.E., Alamry, E.: Swarm Intelligence: Principles, Advances, and Applications. CRC\u2014Taylor & Francis Group, (2015). ISBN 9781498741064\u2014CAT# K26721","DOI":"10.1201\/b19133"},{"key":"16_CR4","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/S0098-1354(00)00653-0","volume":"25","author":"L Costa","year":"2001","unstructured":"Costa, L., Oliveira, P.: Evolutionary algorithms approach to the solution of mixed non-linear programming. Comput. Chem. Eng. 25, 257\u2013266 (2001)","journal-title":"Comput. Chem. Eng."},{"key":"16_CR5","doi-asserted-by":"crossref","first-page":"1295","DOI":"10.1016\/S0898-1221(04)90123-X","volume":"47","author":"YC Lin","year":"2004","unstructured":"Lin, Y.C., Hwang, K.S., Wang, F.S.: A mixed-coding scheme of evolutionary algorithms to solve mixed-integer nonlinear programming problems. Comput. Math. Appl. 47, 1295\u20131307 (2004)","journal-title":"Comput. Math. Appl."},{"key":"16_CR6","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1115\/1.2912596","volume":"112","author":"E Sandgren","year":"1990","unstructured":"Sandgren, E.: Nonlinear integer and discrete programming in mechanical design. ASME Y. Mech. Des. 112, 223\u2013229 (1990)","journal-title":"ASME Y. Mech. Des."},{"issue":"3","key":"16_CR7","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1205\/026387698524839","volume":"76","author":"V Dua","year":"1998","unstructured":"Dua, V., Pistikopoulos, E.N.: Optimization techniques for process synthesis and material design under uncertainty. Chem. Eng. Res. Des. 76(3), 408\u2013416 (1998)","journal-title":"Chem. Eng. Res. Des."},{"issue":"8","key":"16_CR8","doi-asserted-by":"crossref","first-page":"935","DOI":"10.1016\/j.epsr.2009.12.015","volume":"80","author":"JPS Catal\u00e3o","year":"2010","unstructured":"Catal\u00e3o, J.P.S., Pousinho, H.M.I., Mendes, V.M.F.: Mixed-integer\u00a0nonlinear approach for the optimal scheduling of a head-dependent hydro chain. Electr. Power Syst. Res. 80(8), 935\u2013942 (2010)","journal-title":"Electr. Power Syst. Res."},{"key":"16_CR9","unstructured":"Garroppo, R.G., Giordano, S., Nencioni, G., Scutell\u00e0, M.G.: Mixed integer non-linear programming models for green network design. Comput. Oper. Res. 40(1), 273\u2013281 (2013)"},{"issue":"20","key":"16_CR10","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/j.ins.2014.03.110","volume":"279","author":"S Maldonado","year":"2014","unstructured":"Maldonado, S., P\u00e9rez, J., Weber, R., Labb\u00e9, M.: Feature selection for support vector machines via mixed integer linear programming. Inf. Sci. 279(20), 163\u2013175 (2014)","journal-title":"Inf. Sci."},{"issue":"3","key":"16_CR11","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1016\/j.ejor.2013.05.001","volume":"230","author":"C \u00c7etinkaya","year":"2013","unstructured":"\u00c7etinkaya, C., Karaoglan, I., G\u00f6k\u00e7en, H.: Two-stage vehicle routing problem with arc time windows: a mixed integer programming formulation and a heuristic approach. Eur. J. Oper. Res. 230(3), 539\u2013550 (2013)","journal-title":"Eur. J. Oper. Res."},{"issue":"8","key":"16_CR12","doi-asserted-by":"crossref","first-page":"1359","DOI":"10.1016\/j.compchemeng.2011.01.014","volume":"35","author":"P Liu","year":"2011","unstructured":"Liu, P., Whitaker, A., Pistikopoulos, E.N., Li, Z.: A mixed-integer programming approach to strategic planning of chemical centers: a case study in the UK. Comput. Chem. Eng. 35(8), 1359\u20131373 (2011)","journal-title":"Comput. Chem. Eng."},{"issue":"4","key":"16_CR13","doi-asserted-by":"crossref","first-page":"1205","DOI":"10.1016\/j.cie.2008.07.012","volume":"56","author":"G Xu","year":"2009","unstructured":"Xu, G., Papageorgiou, L.G.: A mixed integer optimization model for data classification. Comput. Ind. Eng. 56(4), 1205\u20131215 (2009)","journal-title":"Comput. Ind. Eng."},{"key":"16_CR14","doi-asserted-by":"crossref","unstructured":"Grossmann, I.E., Sahinidis, N.V. (eds.): Special Issue On Mixed-Integer Programming And Its Application To Engineering, Part I: Optimization Engineering, vol. 3, no. 4. Kluwer Academic Publishers, Netherlands (2002)","DOI":"10.1023\/A:1021039126272"},{"key":"16_CR15","unstructured":"Grossmann, I.E., Sahinidis, N.V. (eds.): Special Issue on Mixed-integer Programming and its Application to Engineering, Part II: Optimization Engineering, vol. 4, no. 1. Kluwer Academic Publishers, Netherlands (2002)"},{"key":"16_CR16","doi-asserted-by":"crossref","unstructured":"Hsieh Y.C., et al.: Solving nonlinear constrained optimization problems: an immune evolutionary based two-phase approach. Appl. Math. Model. (2015). http:\/\/dx.doi.org\/10.1016\/j.apm.2014.12.019","DOI":"10.1016\/j.apm.2014.12.019"},{"issue":"1","key":"16_CR17","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1007\/s10589-005-0985-7","volume":"31","author":"CK Ng","year":"2005","unstructured":"Ng, C.K., Zhang, L.S., Li, D., Tian, W.W.: Discrete filled function method for discrete global optimization. Comput. Optim. Appl. 31(1), 87\u2013115 (2005)","journal-title":"Comput. Optim. Appl."},{"issue":"12","key":"16_CR18","doi-asserted-by":"crossref","first-page":"1533","DOI":"10.1287\/mnsc.31.12.1533","volume":"31","author":"OK Gupta","year":"1985","unstructured":"Gupta, O.K., Ravindran, A.: Branch and bound experiments in convex nonlinear integer programming. Manag. Sci. 31(12), 1533\u20131546 (1985)","journal-title":"Manag. Sci."},{"key":"16_CR19","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/0305-0548(94)90024-8","volume":"21","author":"B Borchers","year":"1994","unstructured":"Borchers, B., Mitchell, J.E.: An improved branch and bound algorithm for mixed integer nonlinear programming. Comput. Oper. Res. 21, 359\u2013367 (1994)","journal-title":"Comput. Oper. Res."},{"key":"16_CR20","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/BF00934810","volume":"10","author":"AM Geoffrion","year":"1972","unstructured":"Geoffrion, A.M.: Generalized benders decomposition. J. Optim. Theory Appl. 10, 237\u2013260 (1972)","journal-title":"J. Optim. Theory Appl."},{"issue":"3","key":"16_CR21","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/BF02592064","volume":"36","author":"GI DuranMA","year":"1986","unstructured":"DuranMA, G.I.: An outer approximation algorithm for a class of mixed-integer nonlinear programs. Math. Program. 36(3), 307\u2013339 (1986)","journal-title":"Math. Program."},{"issue":"1\u20133","key":"16_CR22","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/BF01581153","volume":"66","author":"R Fletcher","year":"1994","unstructured":"Fletcher, R., Leyffer, S.: Solving mixed-integer programs by outer approximation. Math. Program. 66(1\u20133), 327\u2013349 (1994)","journal-title":"Math. Program."},{"issue":"10\u201311","key":"16_CR23","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1016\/0098-1354(92)80028-8","volume":"16","author":"I Quesada","year":"1992","unstructured":"Quesada, I., Grossmann, I.E.: An LP\/NLP based branch and bound algorithm for convex MINLP optimization problems. Comput. Chem. Eng. 16(10\u201311), 937\u2013947 (1992)","journal-title":"Comput. Chem. Eng."},{"key":"16_CR24","doi-asserted-by":"crossref","first-page":"S131","DOI":"10.1016\/0098-1354(95)00164-W","volume":"19","author":"T Westerlund","year":"1995","unstructured":"Westerlund, T., Pettersson, F.: A cutting plane method for solving convex MINLP problems. Comput. Chem. Eng. 19, S131\u2013S136 (1995)","journal-title":"Comput. Chem. Eng."},{"key":"16_CR25","doi-asserted-by":"crossref","first-page":"2125","DOI":"10.1016\/S0098-1354(00)00581-0","volume":"24","author":"S Lee","year":"2000","unstructured":"Lee, S., Grossmann, I.E.: New algorithms for nonlinear generalized disjunctive programming. Comput. Chem. Eng. 24, 2125\u20132142 (2000)","journal-title":"Comput. Chem. Eng."},{"key":"16_CR26","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1016\/j.disopt.2006.10.011","volume":"5","author":"P Bonami","year":"2008","unstructured":"Bonami, P., Biegler, L.T., Conn, A.R., Cornu\u00e9jols, G., Grossmann, I.E., Laird, C.D., Lee, J., Lodi, A., Margot, F., Sawaya, N., W\u00e4chter, A.: An algorithmic framework for convex mixed integer nonlinear programs. Discret. Optim. 5, 186\u2013204 (2008)","journal-title":"Discret. Optim."},{"key":"16_CR27","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1287\/ijoc.1090.0373","volume":"22","author":"K Abhishek","year":"2010","unstructured":"Abhishek, K., Leyffer, S., Linderoth, J.T.: FilMINT: an outer-approximation-based solver for nonlinear mixed integer programs. INFORMS J. Comput. 22, 555\u2013567 (2010)","journal-title":"INFORMS J. Comput."},{"key":"16_CR28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0962492913000032","volume":"22","author":"P Belotti","year":"2013","unstructured":"Belotti, P., Kirches, C., Leyffer, S., Linderoth, J., Luedtke, J., Mahajan, A.: Mixed-integer nonlinear optimization. Acta Num. 22, 1\u2013131 (2013)","journal-title":"Acta Num."},{"key":"16_CR29","first-page":"153","volume-title":"Foundations on computational intelligence, studies in computational intelligence","author":"L Liberti","year":"2009","unstructured":"Liberti, L., Cafieri, S., Tarissan, F.: Reformulations in mathematical programming: a computational approach. In: Abraham, A., Hassanien, A.E., Siarry, P. (eds.) Foundations on computational intelligence, studies in computational intelligence, vol. 203, pp. 153\u2013234. Springer, New York (2009)"},{"key":"16_CR30","doi-asserted-by":"crossref","unstructured":"D\u2019Ambrosio, C., Lodi, A.: Mixed integer nonlinear programming tools: a practical overview. 4OR 9(4), 329\u2013349 (2011) (cit. on p. 13)","DOI":"10.1007\/s10288-011-0181-9"},{"key":"16_CR31","doi-asserted-by":"crossref","first-page":"991","DOI":"10.1002\/cite.201400037","volume":"86","author":"F Trespalacios","year":"2014","unstructured":"Trespalacios, F., Grossmann, I.E.: Review of mixed-integer nonlinear and generalized disjunctive programming methods. Chem. Ing. Tec. 86, 991\u20131012 (2014)","journal-title":"Chem. Ing. Tec."},{"issue":"2","key":"16_CR32","first-page":"97","volume":"17","author":"S Burer","year":"2012","unstructured":"Burer, S., Letchford, A.N.: Non-convex mixed-integer nonlinear programming: a survey. Surv. Oper. Res. Manag. Sci. 17(2), 97\u2013106 (2012)","journal-title":"Surv. Oper. Res. Manag. Sci."},{"key":"16_CR33","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1023\/A:1021039126272","volume":"3","author":"IE Grossmann","year":"2002","unstructured":"Grossmann, I.E.: Review of non-linear mixed integer and disjunctive programming techniques. Optim. Eng. 3, 227\u2013252 (2002)","journal-title":"Optim. Eng."},{"issue":"12","key":"16_CR34","doi-asserted-by":"crossref","first-page":"1349","DOI":"10.1016\/S0098-1354(97)00015-X","volume":"21","author":"MF Cardoso","year":"1997","unstructured":"Cardoso, M.F., Salcedo, R.L., Feyo de Azevedo, S., Barbosa, D.: A simulated annealing approach to the solution of minlp problems. Comput. Chem. Eng. 21(12), 1349\u20131364 (1997)","journal-title":"Comput. Chem. Eng."},{"key":"16_CR35","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/S0305-0548(03)00240-5","volume":"32","author":"SL Rosen","year":"2005","unstructured":"Rosen, S.L., Harmonosky, C.M.: An improved simulated annealing simulation optimization method for discrete parameter stochastic systems. Comput. Oper. Res. 32, 343\u2013358 (2005)","journal-title":"Comput. Oper. Res."},{"issue":"9","key":"16_CR36","doi-asserted-by":"crossref","first-page":"2449","DOI":"10.1016\/j.cor.2005.07.009","volume":"33","author":"F Glover","year":"2006","unstructured":"Glover, F.: Parametric tabu-search for mixed integer programs. Comput. Oper. Res. 33(9), 2449\u20132494 (2006)","journal-title":"Comput. Oper. Res."},{"issue":"19","key":"16_CR37","doi-asserted-by":"crossref","first-page":"2869","DOI":"10.1016\/j.ins.2005.04.009","volume":"176","author":"Z Hua","year":"2006","unstructured":"Hua, Z., Huang, F.: A variable-grouping based genetic algorithm for large-scale integer programming. Inf. Sci. 176(19), 2869\u20132885 (2006)","journal-title":"Inf. Sci."},{"issue":"6","key":"16_CR38","doi-asserted-by":"crossref","first-page":"1148","DOI":"10.1016\/j.cor.2009.10.006","volume":"37","author":"SE Kesen","year":"2010","unstructured":"Kesen, S.E., Das, S.K., G\u00fcng\u00f6r, Z.: A genetic algorithm based heuristic for scheduling of virtual manufacturing cells (VMCs). Comput. Oper. Res. 37(6), 1148\u20131156 (2010)","journal-title":"Comput. Oper. Res."},{"key":"16_CR39","unstructured":"Turkkan, N.: Discrete optimization of structures using a floating-point genetic algorithm. In: Annual Conference of the Canadian Society for Civil Engineering, Moncton, Canada, 4\u20137 June 2003"},{"key":"16_CR40","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1016\/0360-8352(96)00041-1","volume":"30","author":"T Yokota","year":"1996","unstructured":"Yokota, T., Gen, M., Li, Y.X.: Genetic algorithm for non-linear mixed integer programming problems and its applications. Comput. Ind. Eng. 30, 905\u2013917 (1996)","journal-title":"Comput. Ind. Eng."},{"issue":"1","key":"16_CR41","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1007\/s11814-010-0323-3","volume":"28","author":"T Wasanapradit","year":"2011","unstructured":"Wasanapradit, T., Mukdasanit, N., Chaiyaratana, N., Srinophakun, T.: Solving mixed-integer nonlinear programming problems using improved genetic algorithms. Korean J. Chem. Eng. 28(1), 32\u201340 (2011)","journal-title":"Korean J. Chem. Eng."},{"issue":"2","key":"16_CR42","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1016\/j.amc.2009.02.044","volume":"212","author":"K Deep","year":"2009","unstructured":"Deep, K., Singh, K.P., Kansal, M.L., Mohan, C.: A real coded genetic algorithm for solving integer and mixed integer optimization problems. Appl. Math. Comput. 212(2), 505\u2013518 (2009)","journal-title":"Appl. Math. Comput."},{"key":"16_CR43","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/0965-9978(95)00104-2","volume":"25","author":"J Cai","year":"1996","unstructured":"Cai, J., Thierauf, G.: Evolution strategies for solving discrete optimization problems. Adv. Eng. Softw. 25, 177\u2013183 (1996)","journal-title":"Adv. Eng. Softw."},{"key":"16_CR44","doi-asserted-by":"crossref","unstructured":"Costa, L., Oliveira, P.: Evolutionary algorithms approach to the solution of mixed integer non-linear programming problems. Comput. Chem. Eng. 25(2\u20133), 257\u2013266","DOI":"10.1016\/S0098-1354(00)00653-0"},{"key":"16_CR45","doi-asserted-by":"crossref","first-page":"931","DOI":"10.1016\/S0307-904X(00)00026-3","volume":"24","author":"YJ Cao","year":"2000","unstructured":"Cao, Y.J., Jiang, L., Wu, Q.H.: An evolutionary programming approach to mixed-variable optimization problems. App. Math. Model. 24, 931\u2013942 (2000)","journal-title":"App. Math. Model."},{"key":"16_CR46","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1023\/A:1008761113491","volume":"14","author":"C Mohan","year":"1999","unstructured":"Mohan, C., Nguyen, H.T.: A controlled random search technique incorporating the simulating annealing concept for solving integer and mixed integer global optimization problems. Comput. Optim. Appl. 14, 103\u2013132 (1999)","journal-title":"Comput. Optim. Appl."},{"issue":"1","key":"16_CR47","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/j.amc.2010.05.009","volume":"217","author":"SF Woon","year":"2010","unstructured":"Woon, S.F., Rehbock, V.: A critical review of discrete filled function methods in solving nonlinear discrete optimization problems. Appl. Math. Comput. 217(1), 25\u201341 (2010)","journal-title":"Appl. Math. Comput."},{"issue":"2","key":"16_CR48","doi-asserted-by":"crossref","first-page":"280","DOI":"10.1016\/j.cam.2006.02.032","volume":"202","author":"Y Yongjian","year":"2007","unstructured":"Yongjian, Y., Yumei, L.: A new discrete filled function algorithm for discrete global optimization. J. Comput. Appl. Math. 202(2), 280\u2013291 (2007)","journal-title":"J. Comput. Appl. Math."},{"key":"16_CR49","doi-asserted-by":"crossref","unstructured":"Socha, K.: ACO for continuous and Mixed-Variable Optimization. Ant Colony, Optimization and Swarm Intelligence. Springer, Berlin, Heidelberg, pp. 25\u201336 (2004)","DOI":"10.1007\/978-3-540-28646-2_3"},{"issue":"7","key":"16_CR50","doi-asserted-by":"crossref","first-page":"2217","DOI":"10.1016\/j.cor.2008.08.015","volume":"36","author":"M Schl\u00fcter","year":"2009","unstructured":"Schl\u00fcter, M., Egea, J.A., Banga, J.R.: Extended ant colony optimization for non-convex mixed integer nonlinear programming. Comput. Oper. Res. 36(7), 2217\u20132229 (2009)","journal-title":"Comput. Oper. Res."},{"issue":"3","key":"16_CR51","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/j.compchemeng.2006.05.016","volume":"31","author":"L Yiqing","year":"2007","unstructured":"Yiqing, L., Xigang, Y., Yongjian, L.: An improved PSO algorithm for solving non-convex NLP\/MINLP problems with equality constraints. Comput. Chem. Eng. 31(3), 153\u2013162 (2007)","journal-title":"Comput. Chem. Eng."},{"key":"16_CR52","doi-asserted-by":"crossref","first-page":"2731","DOI":"10.1007\/s11771-014-2235-6","volume":"21","author":"T Yue","year":"2014","unstructured":"Yue, T., Guan-zheng, T., Shu-guang, D.: Hybrid particle swarm optimization with chaotic search for solving integer and mixed integer programming problems. J. Cent. S. Univ. 21, 2731\u20132742 (2014)","journal-title":"J. Cent. S. Univ."},{"issue":"11","key":"16_CR53","doi-asserted-by":"crossref","first-page":"2068","DOI":"10.3923\/itj.2011.2068.2075","volume":"10","author":"Y Gao","year":"2011","unstructured":"Gao, Y., Ren, Z., Gao, Y.: Modified differential evolution algorithm of constrained nonlinear mixed integer programming problems. Inf. Technol. J. 10(11), 2068\u20132075 (2011)","journal-title":"Inf. Technol. J."},{"key":"16_CR54","doi-asserted-by":"crossref","unstructured":"Lin, Y.C., Hwang, K.S., Wang, F.S.: A mixed-coding scheme of evolutionary algorithms to solve mixed-integer nonlinear programming problems. Comput. Math. Appl. 47(8\u20139), 1295\u20131307 (2004)","DOI":"10.1016\/S0898-1221(04)90123-X"},{"issue":"9","key":"16_CR55","doi-asserted-by":"crossref","first-page":"1238","DOI":"10.1080\/0305215X.2013.836637","volume":"46","author":"H Li","year":"2014","unstructured":"Li, H., Zhang, L.: A discrete hybrid differential evolution algorithm for solving integer programming problems. Eng. Optim. 46(9), 1238\u20131268 (2014)","journal-title":"Eng. Optim."},{"key":"16_CR56","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/j.cie.2015.04.012","volume":"85","author":"AW Mohamed","year":"2015","unstructured":"Mohamed, A.W.: An improved differential evolution algorithm with triangular mutation for global numerical optimization. Comput. Ind. Eng. 85, 359\u2013375 (2015)","journal-title":"Comput. Ind. Eng."},{"key":"16_CR57","unstructured":"Storn, R., Price, K.: Differential evolution\u2014a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report TR-95\u2013012, ICSI http:\/\/www.icsi.berkeley.edu\/~storn\/litera.html (1995)"},{"issue":"4","key":"16_CR58","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","volume":"11","author":"R Storn","year":"1997","unstructured":"Storn, R., Price, K.: Differential Evolution- a simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11(4), 341\u2013359 (1997)","journal-title":"J. Glob. Optim."},{"key":"16_CR59","unstructured":"Engelbrecht, A.P.: Fundamentals of Computational Swarm Intelligence. John Wiley & Sons Ltd (2005)"},{"issue":"1","key":"16_CR60","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/TEVC.2010.2059031","volume":"15","author":"S Das","year":"2011","unstructured":"Das, S., Suganthan, P.N.: Differential evolution: a survey of the state-of-the-art. IEEE Trans. Evol. Comput. 15(1), 4\u201331 (2011)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"16_CR61","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/S0045-7825(99)00389-8","volume":"186","author":"K Deb","year":"2000","unstructured":"Deb, K.: An efficient constraint handling method for genetic algorithms. Comput. Methods Appl. Mech. Eng. 186, 311\u2013338 (2000)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"4","key":"16_CR62","doi-asserted-by":"crossref","first-page":"424","DOI":"10.1109\/TEVC.2005.846817","volume":"9","author":"S Venkatraman","year":"2005","unstructured":"Venkatraman, S., Yen, G.G.: A generic framework for constrained optimization using genetic algorithms. IEEE Trans. Evol. Comput. 9(4), 424\u2013435 (2005)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"16_CR63","volume-title":"Differential Evolution: A Practical Approach to Global Optimization","author":"KV Price","year":"2005","unstructured":"Price, K.V., Storn, R.M., Lampinen, J.A.: Differential Evolution: A Practical Approach to Global Optimization, 1st edn. Springer-Verlag, New York (2005)","edition":"1"},{"issue":"1","key":"16_CR64","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1023\/A:1024653025686","volume":"27","author":"HY Fan","year":"2003","unstructured":"Fan, H.Y., Lampinen, J.: A trigonometric mutation operation to differential evolution. J. Glob. Optim. 27(1), 105\u2013129 (2003)","journal-title":"J. Glob. Optim."},{"key":"16_CR65","doi-asserted-by":"publisher","unstructured":"Mohamed, A.W., Suganthan, P.N.: Real-parameter unconstrained optimization based on enhanced fitness-adaptive differential evolution algorithm with novel mutation. Soft. Comput. (2017). https:\/\/doi.org\/10.1007\/s00500-017-2777-2","DOI":"10.1007\/s00500-017-2777-2"},{"key":"16_CR66","doi-asserted-by":"crossref","unstructured":"Mohamed, A.W., Sabry, H.Z., Farhat, A.: Advanced differential evolution algorithm for global numerical optimization. In: Proceedings of the IEEE International Conference on Computer Applications and Industrial Electronics (ICCAIE 2011), Penang, Malaysia, pp. 156\u2013161 (2011)","DOI":"10.1109\/ICCAIE.2011.6162123"},{"key":"16_CR67","doi-asserted-by":"crossref","unstructured":"Mohamed, A.W.: A novel differential evolution algorithm for solving constrained engineering optimization problems. J. Intell. Manuf. (2017)","DOI":"10.1007\/s10845-017-1294-6"},{"key":"16_CR68","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1155\/2017\/7974218","volume":"2017","author":"AW Mohamed","year":"2017","unstructured":"Mohamed, A.W., Almazyad, A.S.: Differential evolution with novel mutation and adaptive crossover strategies for solving large scale global optimization problems. Appl. Comput. Intell. Soft Comput. 2017, 18 (2017). https:\/\/doi.org\/10.1155\/2017\/7974218","journal-title":"Appl. Comput. Intell. Soft Comput."},{"issue":"1","key":"16_CR69","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1109\/TEVC.2010.2087271","volume":"15","author":"Y Wang","year":"2011","unstructured":"Wang, Y., Cai, Z., Zhang, Q.: Differential evolution with composite trial vector generation strategies and control parameters. IEEE Trans. Evol. Comput. 15(1), 55\u201366 (2011)","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"5","key":"16_CR70","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1109\/TEVC.2009.2014613","volume":"13","author":"JQ Zhang","year":"2009","unstructured":"Zhang, J.Q., Sanderson, A.C.: JADE: adaptive differential evolution with optional external archive. IEEE Trans. Evol. Comput. 13(5), 945\u2013958 (2009)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"16_CR71","doi-asserted-by":"publisher","unstructured":"Mohamed, A.W., Mohamed, A.K.: Adaptive guided differential evolution algorithm with novel mutation for numerical optimization. Int. J. Mach. Learn. Cyber. (2017). https:\/\/doi.org\/10.1007\/s13042-017-0711-7","DOI":"10.1007\/s13042-017-0711-7"},{"key":"16_CR72","doi-asserted-by":"crossref","unstructured":"Mohamed A.K., Mohamed A.W., Elfeky E.Z., Saleh M. (2018) Enhancing AGDE algorithm using population size reduction for global numerical optimization. In: Hassanien, A., Tolba, M., Elhoseny, M., Mostafa, M. (eds.) The International Conference on Advanced Machine Learning Technologies and Applications (AMLTA2018). AMLTA 2018. Advances in Intelligent Systems and Computing, vol. 723. Springer, Cham","DOI":"10.1007\/978-3-319-74690-6_7"},{"issue":"1","key":"16_CR73","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TEVC.2004.836819","volume":"9","author":"E Mezura-Montes","year":"2005","unstructured":"Mezura-Montes, E., Coello, C.A.C.: A simple multimembered evolution strategy to solve constrained optimization problems. IEEE Trans. Evol. Comput. 9(1), 1\u201317 (2005)","journal-title":"IEEE Trans. Evol. Comput."},{"key":"16_CR74","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1007\/s13042-015-0479-6","volume":"8","author":"AW Mohamed","year":"2017","unstructured":"Mohamed, A.W.: An efficient modified differential evolution algorithm for solving constrained non-linear integer and mixed-integer global optimization problems. Int. J. Mach. Learn. Cybernet. 8, 989 (2017)","journal-title":"Int. J. Mach. Learn. Cybernet."},{"key":"16_CR75","unstructured":"Lampinen, J., Zelinka, I.: Mixed integer-discrete-continuous optimization by differential evolution, part 1: the optimization method. In: O\u0161mera, P. (ed.) Proceedings of MENDEL\u201999, 5th International Mendel Conference on Soft Computing, Brno, Czech Republic, 9\u201312 June 1999"},{"key":"16_CR76","doi-asserted-by":"crossref","unstructured":"Omran, M.G.H., Engelbrecht, A.P.: Differential evolution for integer programming problems. In: 2007 IEEE Congress on Evolutionary Computation, pp. 2237\u20132242, Sept 2007","DOI":"10.1109\/CEC.2007.4424749"},{"key":"16_CR77","doi-asserted-by":"crossref","unstructured":"Li, Y., Gen, M.: Nonlinear mixed integer programming problems using genetic algorithm and penalty function. In: IEEE International Conference on Systems, Man, and Cybernetics, vol. 4, pp. 2677\u20132682 (1996)","DOI":"10.1109\/ICSMC.1996.561362"}],"container-title":["Studies in Computational Intelligence","Machine Learning Paradigms: Theory and Application"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-02357-7_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,4]],"date-time":"2026-04-04T10:31:52Z","timestamp":1775298712000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-02357-7_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,12,8]]},"ISBN":["9783030023560","9783030023577"],"references-count":77,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-02357-7_16","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"value":"1860-949X","type":"print"},{"value":"1860-9503","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,12,8]]}}}