Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Non-smooth resource allocation problem. / Krylatov, Alexander; Shirokolobova, Anastasia; Zakharov, Victor; Malygin, Igor.
2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. 7973977.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Non-smooth resource allocation problem
AU - Krylatov, Alexander
AU - Shirokolobova, Anastasia
AU - Zakharov, Victor
AU - Malygin, Igor
PY - 2017/7/10
Y1 - 2017/7/10
N2 - This paper deals with one of the canonical problems in networked systems - the resource allocation problem, that is based on user equilibrium principle. The user equilibrium principle was formulated in the middle of XX-th century by John Wardrop. Resource allocation problem has widespread applications. Urban road networks, financial networks, power grids and other systems could be modeled as network equilibrium problems with convex performance functions. The present paper is focused on the resource allocation problem with convex non-smooth piecewise linear nondecreasing performance function. The constructive tool to cope with such problem was developed.
AB - This paper deals with one of the canonical problems in networked systems - the resource allocation problem, that is based on user equilibrium principle. The user equilibrium principle was formulated in the middle of XX-th century by John Wardrop. Resource allocation problem has widespread applications. Urban road networks, financial networks, power grids and other systems could be modeled as network equilibrium problems with convex performance functions. The present paper is focused on the resource allocation problem with convex non-smooth piecewise linear nondecreasing performance function. The constructive tool to cope with such problem was developed.
UR - http://www.scopus.com/inward/record.url?scp=85027459719&partnerID=8YFLogxK
U2 - 10.1109/CNSA.2017.7973977
DO - 10.1109/CNSA.2017.7973977
M3 - Conference contribution
AN - SCOPUS:85027459719
BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 Constructive Nonsmooth Analysis and Related Topics
Y2 - 22 May 2017 through 27 May 2017
ER -
ID: 9179030