MPL Model Library MPL Model Library



DorianAutoMedia, Example 8, Winston


   {  Exmpl9.2-8_DorianAutoMedia.mpl  }

   {  Winston, Operations Research, Applications and Algorithms, 4th ed.  }

   {  Chapter 9.2,  Example 8, Piecewise Linear (MIP),  Size: 5x6,  Page 494  }


TITLE    
    DorianAutoMedia;

INDEX
    mag := (jocks,family);
    adlevel := 1..3;

DATA
    Exposure[mag,adlevel]    := 1000 * (10, 3,2.5,
                                         8, 6,  2);
    AdsInLevel[mag,adlevel] := ( 6, 4, 5, 
                                 4, 8, 3);      
    Budget := 20000;
    AdCost := 1000; 

INTEGER VARIABLES
    Advertise[mag,adlevel];
    
MODEL

    MAX TotalExposure = SUM(mag,adlevel: Advertise * Exposure); 
                
SUBJECT TO

    BudgetLimit -> BUDL:

        SUM(mag,adlevel: Advertise * AdCost) <= Budget;

BOUNDS
    Advertise <= AdsInLevel;

END







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