A location problem on unicyclic networks: Balanced case

TitleA location problem on unicyclic networks: Balanced case
Publication TypeJournal Article
Year of Publication1992
AuthorsKiran, A. S., A. Tamer Ünal, and S. Karabati
JournalEuropean Journal of Operational Research

The problem of locating n stations on a unicyclic unidirectional network is considered. We formulated the problem as an integer program for the case of a balanced flow matrix, i.e., the total inflow to a station equals the total outflow from that station. The integer programming formulation reduces the problem to a station sequencing problem regardless of the actual station locations on the network. Furthermore, the empirical evidence suggests that the LP solutions to the relaxed IP formulations are optimal.