Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives
    
    
  
  
  
      
      
      
        
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 8, pp. 1401-1415
    
  
  
  
  
  
    
      
      
        
      
      
      
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              Adaptive methods for the polyhedral approximation of the convex Edgeworth–Pareto hull in multiobjective monotone integer optimization problems are proposed and studied. For these methods, theoretical convergence rate estimates with respect to the number of vertices are obtained. The estimates coincide in order with those for filling and augmentation $H$-methods intended for the approximation of nonsmooth convex compact bodies.
            
            
            
          
        
      @article{ZVMMF_2016_56_8_a3,
     author = {A. I. Pospelov},
     title = {Hausdorff methods for approximating the convex {Edgeworth{\textendash}Pareto} hull in integer problems with monotone objectives},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1401--1415},
     publisher = {mathdoc},
     volume = {56},
     number = {8},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a3/}
}
                      
                      
                    TY - JOUR AU - A. I. Pospelov TI - Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2016 SP - 1401 EP - 1415 VL - 56 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a3/ LA - ru ID - ZVMMF_2016_56_8_a3 ER -
%0 Journal Article %A A. I. Pospelov %T Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2016 %P 1401-1415 %V 56 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a3/ %G ru %F ZVMMF_2016_56_8_a3
A. I. Pospelov. Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 8, pp. 1401-1415. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a3/
