The 0-1 Multidimensional Knapsack Problem



This web page is intended to give some additional information as support to the abstract PaperId = 495

"Tabu Search for 0-1 Multidimensional Knapsack Revisited: 
Choosing Internal Heuristics and Fine Tuning of Parameters"

authored by M. Josep Blesa, Lluís Hernàndez and Fatos Xhafa 
submitted to YOR 12 Workshop


 
The 0-1 Multidimensional Knapsack problem  is a well-known NP-hard problem. It is a generalisation of the 0-1 simple knapsack problem. It is an important combinatorial optimization problem both from a theoretic and practical point of view. Its mathematical formulation (as an integer linear program) is as follows:
maximize cj· xj
subject toAi,j · x bi , for all i=1.. m,
                    xj  in  {0,1}, for all j=1..n
where cj represents the benefit of the item j, bi represents the ith capacity and Ai,jrepresent the entries of the constraint matrix.
 

Table of Contents:


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