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With the advent of modern communications systems, much attention has been puton developing methods for securely transferring information betweenconstituents of wireless sensor networks. To this effect, we introduce amathematical programming formulation for the key management problem, whichbroadly serves as a mechanism for encrypting communications. In particular, aninteger programming model of the q-Composite scheme is proposed and utilized todistribute keys among nodes of a network whose topology is known. Numericalexperiments demonstrating the effectiveness of the proposed model are conductedusing using a well-known optimization solver package. An illustrative exampledepicting an optimal encryption for a small-scale network is also presented.

An Integer Programming Formulation of the Key Management Problem in Wireless Sensor Networks