Geodesic
Machine Load Balancing Game with linear externalities
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 13 (2021) no. 2, pp. 62-79

Voir la notice de l'article provenant de la source Math-Net.Ru

The Machine Load Balancing Game with linear externalities is considered. A set of jobs is to be assigned to a set of machines with different latencies depending on their own loads and also loads on other machines. Jobs choose machines to minimize their own latencies. The social cost of a schedule is the maximum delay among all machines, i.e. makespan. For the case of two machines in this model an Nash equilibrium existence is proven and of the expression for the Price of Anarchy is obtained.
Keywords: machine load balancing game, linear externalities, Nash equilibrium, price of anarchy. 
@article{MGTA_2021_13_2_a3,
     author = {Julia V. Chirkova},
     title = {Machine {Load} {Balancing} {Game} with linear externalities},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {62--79},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2021_13_2_a3/}
}
TY  - JOUR
AU  - Julia V. Chirkova
TI  - Machine Load Balancing Game with linear externalities
JO  - Matematičeskaâ teoriâ igr i eë priloženiâ
PY  - 2021
SP  - 62
EP  - 79
VL  - 13
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MGTA_2021_13_2_a3/
LA  - ru
ID  - MGTA_2021_13_2_a3
ER  - 
%0 Journal Article
%A Julia V. Chirkova
%T Machine Load Balancing Game with linear externalities
%J Matematičeskaâ teoriâ igr i eë priloženiâ
%D 2021
%P 62-79
%V 13
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MGTA_2021_13_2_a3/
%G ru
%F MGTA_2021_13_2_a3
Julia V. Chirkova. Machine Load Balancing Game with linear externalities. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 13 (2021) no. 2, pp. 62-79. http://geodesic.mathdoc.fr/item/MGTA_2021_13_2_a3/