An adaptive wavelet method for solving mixed-integer dynamic optimization problems with discontinuous controls and application to alkali–surfactant–polymer flooding

作者: Yulei Ge , Shurong Li , Yuhuan Shi , Lu Han

DOI: 10.1080/0305215X.2018.1508573

关键词: Hamiltonian mechanicsApplied mathematicsComputer scienceAdaptive strategiesFunction approximationFlooding (computer networking)Optimization problemHaarPolymer floodingAdaptive wavelet

摘要: ABSTRACTThis article presents an adaptive rationalized Haar function approximation method to solve dynamic optimization with mixed-integer and discontinuous controls. Three measures are taken deal the discontinuity. First, problem is converted into a multi-stage by non-uniform control vector parameterization. Secondly, strategy proposed regulate interval division order of vectors. Thirdly, structure detection presented refine subintervals, in which adjacent arcs same input type merged one modify redundant subintervals. During this solution, restriction realized integer truncation strategy. Combined Hamiltonian function, validation principle shown verify optimality solution. Finally, applied enhanced oil recovery for alkali–surfactant–polymer flooding. The effectiveness ...

参考文章(27)
J. Majak, B. Shvartsman, K. Karjust, M. Mikola, A. Haavajõe, M. Pohlak, On the accuracy of the Haar wavelet discretization method Composites Part B-engineering. ,vol. 80, pp. 321- 327 ,(2015) , 10.1016/J.COMPOSITESB.2015.06.008
A Anuntagool, P Intachote, P Naigowit, S Sirisinha, Rapid antigen detection assay for identification of Burkholderia (Pseudomonas) pseudomallei infection. Journal of Clinical Microbiology. ,vol. 34, pp. 975- 976 ,(1996) , 10.1128/JCM.34.4.975-976.1996
Martin Schlegel, Klaus Stockmann, Thomas Binder, Wolfgang Marquardt, Dynamic optimization using adaptive control vector parameterization Computers & Chemical Engineering. ,vol. 29, pp. 1731- 1751 ,(2005) , 10.1016/J.COMPCHEMENG.2005.02.036
Alexandra Coppe, Raphael T. Haftka, Nam-Ho Kim, Optimization of Distribution Parameters for Estimating Probability of Crack Detection Journal of Aircraft. ,vol. 46, pp. 2090- 2097 ,(2009) , 10.2514/1.43804
Din-Yuen Chan, Cheng-Yuan Ku, Ming-Chai Li, A method to improve integer linear programming problem with branch-and-bound procedure Applied Mathematics and Computation. ,vol. 179, pp. 484- 493 ,(2006) , 10.1016/J.AMC.2005.11.171
Masoomeh Mansoori, Alireza Nazemi, Solving infinite-horizon optimal control problems of the time-delayed systems by Haar wavelet collocation method Computational and Applied Mathematics. ,vol. 35, pp. 97- 117 ,(2016) , 10.1007/S40314-014-0184-1
Erik L. Demeulemeester, Willy S. Herroelen, A Branch-and-Bound Procedure for the Generalized Resource-Constrained Project Scheduling Problem Operations Research. ,vol. 45, pp. 201- 212 ,(1997) , 10.1287/OPRE.45.2.201
J. Majak, B.S. Shvartsman, M. Kirs, M. Pohlak, H. Herranen, Convergence theorem for the Haar wavelet based discretization method Composite Structures. ,vol. 126, pp. 227- 232 ,(2015) , 10.1016/J.COMPSTRUCT.2015.02.050
Siraj-ul-Islam, Imran Aziz, Božidar Šarler, The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets Mathematical and Computer Modelling. ,vol. 52, pp. 1577- 1590 ,(2010) , 10.1016/J.MCM.2010.06.023
Lorenz T. Biegler, Arturo M. Cervantes, Andreas Wächter, Advances in simultaneous strategies for dynamic process optimization Chemical Engineering Science. ,vol. 57, pp. 575- 593 ,(2002) , 10.1016/S0009-2509(01)00376-1