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A feasible flow-based iterative algorithm for the two-level hierarchical time minimization transportation problem 期刊论文
COMPUTERS & OPERATIONS RESEARCH, 2017, 卷号: 86, 页码: 124-139
Authors:  Xie, Fanrong;  Butt, Muhammad Munir;  Li, Zuoan
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Transportation  Transportation problem  Hierarchical optimization  Polynomial algorithm  Network with lower and upper arc capacities  
An upper bound on the minimal total cost of the transportation problem with varying demands and supplies 期刊论文
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 2017, 卷号: 68, 页码: 105-118
Authors:  Xie, Fanrong;  Butt, Muhammad Munir;  Li, Zuoan;  Zhu, Linzhi
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Genetic algorithms  Transportation problem  Transportation problem with varying demands and supplies  Bounds on the minimal total cost  Upper bound on the minimal total cost  
A multigrid solver for Stokes control problems 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 卷号: 94, 期号: 12, 页码: 2297-2314
Authors:  Butt, Muhammad Munir
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Stokes equations  PDE-constrained optimization  multigrid  staggered grids  control-constrained  35Q93  49K20  65N55