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2006

Approximate and exact algorithms for the fixed-charge knapsack problem

11 years 9 months ago
Approximate and exact algorithms for the fixed-charge knapsack problem
The subject of this paper is the formulation and solution of a variation of the classical binary knapsack problem. The variation that is addressed is termed the ``fixed-charge knapsack problem'', in which sub-sets of variables (activities) are associated with fixed costs. These costs may represent certain set-ups and/or preparations required for the associated sub-set of activities to be scheduled. Several potential real-world applications as well as problem extensions/generalizations are discussed. The efficient solution of the problem is facilitated by a standard branch-and-bound algorithm based on (1) a non-iterative, polynomial algorithm to solve the LP relaxation, (2) various heuristic procedures to obtain good candidate solutions by adjusting the LP solution, and (3) powerful rules to peg the variables. Computational experience shows that the suggested branch-and-bound algorithm shows excellent potential in the solution of a wide variety of large fixed-charge knapsack ...
Umit Akinc
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2006
Where EOR
Authors Umit Akinc
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