A Hybrid Approach for the 01 Multidimensional Knapsack problem
نویسندگان
چکیده
& is called a knapsack constraint. The special case of the MKP01 with %*!) is the classical knapsack problem (KP01), whose usual statement is the following. Given a knapsack of capacity and objects, each being associated a profit (gain) and a volume occupation, one wants to select + ( +, and + not fixed) objects such that the total profit is maximized and the capacity of the knapsack is not exceeded. It is well known that the KP01 is not strongly NP-hard because there are polynomial approximation algorithms to solve it. This is not the case for the general MKP01. The MKP01 can formulate many practical problems such as capital budgeting where project
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