The first comprehensive account of the theory of mass transportation problems
and its applications. In Volume I, the authors systematically develop the theory
with emphasis on the Monge-Kantorovich mass transportation and the
Kantorovich-Rubinstein mass transshipment problems. They then discuss a variety
of different approaches towards solving these problems and exploit the rich
interrelations to several mathematical sciences - from functional analysis to
probability theory and mathematical economics. The second volume is devoted to
applications of the above problems to topics in applied probability, theory of
moments and distributions with given marginals, queuing theory, risk theory of
probability metrics and its applications to various fields, among them general
limit theorems