Solving multidimensional 0-1 knapsack problem by P systems with input and active membranes

Membrane systems are biologically motivated theoretical models of distributed and parallel computing. In this paper, we present a membrane algorithm to solve multidimensional 0-1 knapsack problem in linear time by recognizer P systems with input and with active membranes using 2-division. This algorithm can also be modified to solve general 0-1 integer programming problem.