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Link weights are the principal parameters of shortest path routing protocols,the most commonly used protocols for IP networks. The problem of optimallysetting link weights for unique shortest path routing is addressed. Due to thecomplexity of the constraints involved, there exist challenges to formulate theproblem properly, so that a solution algorithm may be developed which couldprove to be more efficient than those already in existence. In this paper, anovel complete formulation with a polynomial number of constraints is firstintroduced and then mathematically proved to be correct. It is furtherillustrated that the formulation has advantages over a prior one in terms ofboth constraint structure and model size for a proposed decomposition method tosolve the problem.

A Novel Mathematical Model for the Unique Shortest Path Routing Problem