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First-fit (FF) is an online algorithm for bin packing. Its input is a list of items of different sizes. Its input is a list of items of different sizes. Its output is a packing - a partition of the items into bins of fixed capacity, such that the sum of sizes of items in each bin is at most the capacity.
First-fit-decreasing (FFD) is an algorithm for bin packing. Its input is a list of items of different sizes. Its input is a list of items of different sizes. Its output is a packing - a partition of the items into bins of fixed capacity, such that the sum of sizes of items in each bin is at most the capacity.
Best-fit is an online algorithm for bin packing. Its input is a list of items of different sizes. Its output is a packing - a partition of the items into bins of fixed capacity, such that the sum of sizes of items in each bin is at most the capacity. Ideally, we would like to use as few bins as possible, but minimizing the number of bins is an ...
Next-k-Fit (NkF) is a variant of Next-Fit, but instead of keeping only one bin open, the algorithm keeps the last k bins open and chooses the first bin in which the item fits. Therefore, it is called a k-bounded space algorithm. [ 12 ]
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The "worst fit" algorithm chooses the largest hole. The "first-fit algorithm" chooses the first hole that is big enough. The "next fit" algorithm keeps track of where each file was written. The "next fit" algorithm is faster than "first fit," which is in turn faster than "best fit," which is the same speed as "worst fit". [5]
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Next-k-Fit is a variant of Next-Fit, but instead of keeping only one bin open, the algorithm keeps the last bins open and chooses the first bin in which the item fits. For k ≥ 2 {\displaystyle k\geq 2} , NkF delivers results that are improved compared to the results of NF, however, increasing k {\displaystyle k} to constant values larger than ...