A Branch and Bound Algorithm for Capacitated Minimum Spanning Tree Problem (Research Note)

Jun Han, Graham McMahon, Stephen Sugden

Abstract: This paper studies the capacitated minimum spanning tree problem (CMST), which is one of the most fundamental and significant problems in the optimal design of communication networks. CMST has a great variety of applications, such as in the design of local access networks, the design of minimum cost teleprocessing networks, the vehicle routing and so on. A solution method using branch and bound technique is introduced. Computational experiences demonstrate the algorithm’s effectiveness.