The Karmarkar–Karp (KK) bin packing algorithms are several related approximation algorithm for the bin packing problem. The bin packing problem is a problem...

solved exactly using the configuration linear program. The Karmarkar-Karp bin packing algorithm finds a solution with size at most O P T + O ( log 2 ⁡ (...

{1}{n}}\right)} in expectation. Largest Differencing Method (also called the Karmarkar–Karp algorithm) sorts the numbers in descending order and repeatedly replaces...

from this, an approximate solution to the primal LP; see Karmarkar-Karp bin packing algorithms. All in all, for any tolerance factor h, finds a basic feasible...

S2CID 10519631. Karmarkar, Narendra; Karp, Richard M. (November 1982). "An efficient approximation scheme for the one-dimensional bin-packing problem". 23rd...

considered important enough to have much research on specialized algorithms. A number of algorithms for other types of optimization problems work by solving linear...

terms relating to algorithms and data structures. For algorithms and data structures not necessarily mentioned here, see list of algorithms and list of data...

implemented by solving a knapsack problem. This is used by the Karmarkar-Karp bin packing algorithms. Let f be a convex function on Rn. The set K = { ( x , t...

Branch and bound algorithms have a number of advantages over algorithms that only use cutting planes. One advantage is that the algorithms can be terminated...

tractable, and so specialized algorithms that quickly rule out large parts of the search space or approximation algorithms must be resorted to instead....

1+O(1/n)} in expectation. Largest Differencing Method (also called the Karmarkar-Karp algorithm ) sorts the numbers in descending order and repeatedly replaces...