Task: Knapsack problem_Continuous







Python: 
items = [("beef",    3.8, 36.0),
         ("pork",    5.4, 43.0),
         ("ham",     3.6, 90.0),
         ("greaves", 2.4, 45.0),
         ("flitch",  4.0, 30.0),
         ("brawn",   2.5, 56.0),
         ("welt",    3.7, 67.0),
         ("salami",  3.0, 95.0),
         ("sausage", 5.9, 98.0)]

MAXWT = 15.0

sorted_items = sorted(((value/amount, amount, name)
                       for name, amount, value in items),
                      reverse = True)
wt = val = 0
bagged = []
for unit_value, amount, name in sorted_items:
    portion = min(MAXWT - wt, amount)
    wt     += portion
    addval  = portion * unit_value
    val    += addval
    bagged += [(name, portion, addval)]
    if wt >= MAXWT:
        break

print("    ITEM   PORTION VALUE")
print("\n".join("%10s %6.2f %6.2f" % item for item in bagged))
print("\nTOTAL WEIGHT: %5.2f\nTOTAL VALUE: %5.2f" % (wt, val))





Ada: with Ada.Text_IO;
with Ada.Float_Text_IO;
with Ada.Strings.Unbounded;
 
procedure Knapsack_Continuous is
   package US renames Ada.Strings.Unbounded;
 
   type Item is record
      Name   : US.Unbounded_String;
      Weight : Float;
      Value  : Positive;
      Taken  : Float;
   end record;
 
   function "<" (Left, Right : Item) return Boolean is
   begin
      return Float (Left.Value) / Left.Weight <
             Float (Right.Value) / Right.Weight;
   end "<";
 
   type Item_Array is array (Positive range <>) of Item;
 
   function Total_Weight (Items : Item_Array) return Float is
      Sum : Float := 0.0;
   begin
      for I in Items'Range loop
         Sum := Sum + Items (I).Taken;
      end loop;
      return Sum;
   end Total_Weight;
 
   function Total_Value (Items : Item_Array) return Float is
      Sum : Float := 0.0;
   begin
      for I in Items'Range loop
         Sum := Sum + Float (Items (I).Value) / Items(I).Weight * Items (I).Taken;
      end loop;
      return Sum;
   end Total_Value;
 
   procedure Solve_Knapsack_Continuous
     (Items        : in out Item_Array;
      Weight_Limit : Float)
   is
   begin
      
      Sorting : declare
         An_Item : Item;
         J       : Natural;
      begin
         for I in Items'First + 1 .. Items'Last loop
            An_Item := Items (I);
            J       := I - 1;
            while J in Items'Range and then Items (J) < An_Item loop
               Items (J + 1) := Items (J);
               J             := J - 1;
            end loop;
            Items (J + 1) := An_Item;
         end loop;
      end Sorting;
      declare
         Rest : Float := Weight_Limit;
      begin
         for I in Items'Range loop
            if Items (I).Weight <= Rest then
               Items (I).Taken := Items (I).Weight;
            else
               Items (I).Taken := Rest;
            end if;
            Rest := Rest - Items (I).Taken;
            exit when Rest <= 0.0;
         end loop;
      end;
   end Solve_Knapsack_Continuous;
    All_Items : Item_Array :=
     ((US.To_Unbounded_String ("beef"), 3.8, 36, 0.0),
      (US.To_Unbounded_String ("pork"), 5.4, 43, 0.0),
      (US.To_Unbounded_String ("ham"), 3.6, 90, 0.0),
      (US.To_Unbounded_String ("greaves"), 2.4, 45, 0.0),
      (US.To_Unbounded_String ("flitch"), 4.0, 30, 0.0),
      (US.To_Unbounded_String ("brawn"), 2.5, 56, 0.0),
      (US.To_Unbounded_String ("welt"), 3.7, 67, 0.0),
      (US.To_Unbounded_String ("salami"), 3.0, 95, 0.0),
      (US.To_Unbounded_String ("sausage"), 5.9, 98, 0.0));
 
begin
   Solve_Knapsack_Continuous (All_Items, 15.0);
   Ada.Text_IO.Put ("Total Weight: ");
   Ada.Float_Text_IO.Put (Total_Weight (All_Items), 0, 2, 0);
   Ada.Text_IO.New_Line;
   Ada.Text_IO.Put ("Total Value:  ");
   Ada.Float_Text_IO.Put (Total_Value (All_Items), 0, 2, 0);
   Ada.Text_IO.New_Line;
   Ada.Text_IO.Put_Line ("Items:");
   for I in All_Items'Range loop
      if All_Items (I).Taken > 0.0 then
         Ada.Text_IO.Put ("   ");
         Ada.Float_Text_IO.Put (All_Items (I).Taken, 0, 2, 0);
         Ada.Text_IO.Put_Line (" of " & US.To_String (All_Items (I).Name));
      end if;
   end loop;
end Knapsack_Continuous;