The knapsack problem states that − given a set of items, holding weights and profit values, one must determine the subset of the items to be added in a knapsack such that, the total weight of the items must not exceed the limit of the knapsack and its total profit value is maximum....
Fractional Knapsack problem Infractional knapsack fractionsof an item can be taken rather than having to make a binary choice for each of them. In this objective function is mathematically represented by: Max Where,Pi= profit and Xi = fraction. ...
Every solution to the fractional multidimensional knapsack problem admits a cost鈥揵enefit interpretation: for each solution, it is possible to associate a price to each dimension such that an object is placed (not placed) in the knapsack if its cost under the associated price system is strictly...
G. Olsen. Determining Optimal Polling Frequency Using a Learning Automata-based Solution to the Fractional Knapsack Problem. In Proceedings of theO.-C. Granmo, B.J. Oommen, S.A. Myrer and M.G. Olsen, "Determining Optimal Polling Frequency Using a Learning Automata-Based Solution to the ...
It is a very special case of the well-known Integer Linear Programming Problem. The purpose of this paper is to analyze several feasible solutions to a Fractional Knapsack Problem using greedy approach. Based on the knapsack algorithm to take different feasible solutions, in this set of feasible...
Value considerations in three-dimensional packing — a heuristic procedure using the fractional knapsack problem. European Journal of Operational Research , 74 143–151, 1994. MATHMOHANTY, B. B.; MATHUR, K.; IVANCIC, N. J. 1994. Value considerations in three-dimensional packing - A heuristic ...
Granmo O-C, Oommen BJ (2006) On allocating limited sam- pling resources using a learning automata-based solution to the fractional knapsack problem. In: Proceedings of the 2006 interna- tional intelligent information processing and web mining confer- ence (IIS:IIPW'06). Advances in soft ...
Our solution resorts to a subtle aggregation procedure that drives the system towards equalizing the derivatives of the material value functions in a similar manner to the Homo Egualis theory. Furthermore, we report experimental results that catalogue the applicability of our solution to the problem ...