TY - JOUR
T1 - Mass transhipment problems and ideal metrics
AU - Rachev, S. T.
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1991/1/1
Y1 - 1991/1/1
N2 - Given initial and final mass distributions P and Q on Rkwe study dual and explicit solutions of the mass transhipment problem: [formula omitted] where mnis a signed measure with d.f. Fmn For the usual choice of the cost function, c(x, y) = ║ x – y║, the solution of the transhipment problem determines an ideal metric of order kn + 1.
AB - Given initial and final mass distributions P and Q on Rkwe study dual and explicit solutions of the mass transhipment problem: [formula omitted] where mnis a signed measure with d.f. Fmn For the usual choice of the cost function, c(x, y) = ║ x – y║, the solution of the transhipment problem determines an ideal metric of order kn + 1.
KW - ideal probability metrices
KW - mass transhipment problem
KW - network flow problem
UR - http://www.scopus.com/inward/record.url?scp=84914773893&partnerID=8YFLogxK
U2 - 10.1080/01630569108816452
DO - 10.1080/01630569108816452
M3 - Article
AN - SCOPUS:84914773893
VL - 12
SP - 563
EP - 573
JO - Numerical Functional Analysis and Optimization
JF - Numerical Functional Analysis and Optimization
SN - 0163-0563
IS - 5-6
ER -