The generalized p-centdian on network

Since the median approach is based on averaging, it often provides solutions where remote and low-population density areas are discriminated against in terms of accessibility to public facilities, as compared with centrally situated and high-population density areas. On the other hand, locating a facility at the centre may cause a large increase in total distance, thus generating a substantial loss in spatial efficiency. This has led to a search for some compromise solution concept. Halpern has introduced the λ-Centdian as a parametric solution concept based on the bicriteria center median model. He has modeled the corresponding trade-offs with a convex combination of the unweighted center and weighted median objectives. In this paper we study the λ-Centdian like a convex combination of the weighted center and weighted median objectives; we called it the generalized Centdian problem.