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The service area of an MSC (mobile switching center) is defined as the union of the service areas of the base stations connected to the MSC and is assumed to have a hexagonal shape. An analytical approach to the performance analysis of the link between MSCs for supporting the inter-MSC soft handoff scheme of B.H. Cheung and V.C.M. Leung (see IEEE JSAC, vol.15, p.1276-88, 1997) is developed to obtain the probability that a soft handoff to an adjacent MSC is blocked due to a shortage of link capacity.