Bin packing – First fit algorithm

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Presentation transcript:

Bin packing – First fit algorithm A B C D E F Each block will be fitted into the first bin that has room for it. 6 5 4 3 3 3 2 2 1

Bin packing – First fit algorithm 4 A B C D E F The first block fits into the first bin 6 5 3 3 3 2 2 1

Bin packing – First fit algorithm 1 4 A B C D E F The second block fits in the first bin 6 5 3 3 3 2 2

Bin packing – First fit algorithm 2 1 4 A B C D E F The third block will not fit in the first bin 6 5 3 3 3 2

Bin packing – First fit algorithm 1 4 2 A B C D E F But there is room in the second bin 6 5 3 3 3 2

Bin packing – First fit algorithm 5 5 1 5 4 2 A B C D E F The third bin is the first one the 5 will fit in 6 3 3 3 2

Bin packing – First fit algorithm 3 1 3 5 4 2 A B C D E F The second bin has room for the 3 6 3 3 2

Bin packing – First fit algorithm 2 2 2 1 3 5 4 2 2 A B C D E F The fourth bin is the first one with room for the next one 6 3 3

Bin packing – First fit algorithm 3 3 3 1 3 5 3 4 2 2 A B C D E F The next one also fits in the fourth bin 6 3

Bin packing – First fit algorithm 6 6 6 6 6 1 3 5 3 4 2 2 A B C D E F No room until the fifth bin for the 6 3

Bin packing – First fit algorithm 3 3 3 3 3 6 1 3 5 3 4 3 2 2 A B C D E F The 3 has to start a new bin Total usage is 6 bins.

Bin packing – First fit decreasing algorithm A B C D E F With the first fit decreasing algorithm we sort the blocks into descending order first. 6 5 4 3 3 3 2 2 1

Bin packing – First fit decreasing algorithm A B C D E F 6 5 4 3 3 3 2 2 1

Bin packing – First fit decreasing algorithm 6 A B C D E F Now we use the first fit algorithm 5 4 3 3 3 2 2 1

Bin packing – First fit decreasing algorithm 5 6 5 A B C D E F 4 3 3 3 2 2 1

Bin packing – First fit decreasing algorithm 4 4 6 5 4 A B C D E F 3 3 3 2 2 1

Bin packing – First fit decreasing algorithm 3 3 3 6 5 4 3 A B C D E F 3 3 2 2 1

Bin packing – First fit decreasing algorithm 3 3 3 6 3 5 4 3 A B C D E F 3 2 2 1

Bin packing – First fit decreasing algorithm 3 3 3 3 6 3 5 4 3 3 A B C D E F 2 2 1

Bin packing – First fit decreasing algorithm 2 2 6 2 3 5 4 3 3 A B C D E F 2 1

Bin packing – First fit decreasing algorithm 2 2 2 2 6 2 3 5 2 4 3 3 A B C D E F 1

Bin packing – First fit decreasing algorithm 1 6 1 2 3 5 2 4 3 3 A B C D E F We have packed them into 5 bins.