Paradoxes in distributed decisions on optimal load balancing for networks of homogeneous computers

Journal of the ACM

Volumn 49, Issue 3, 2002, Pages 407-433

  Kameda, Hisao ^a   Pourtallier, Odile ^b  

^a UNIVERSITY OF TSUKUBA   (Japan)

^b INRIA   (France)

Author keywords

Braess paradox; Distributed decision; Homogeneous distributed system; Load balancing; Nash equilibrium; Noncooperative game; Performance optimization; Wardrop equilibrium

Indexed keywords

COMMUNICATION SYSTEMS; COMPUTER NETWORKS; OPTIMIZATION; PACKET NETWORKS; TELECOMMUNICATION LINKS; VECTORS;

HOMOGENEOUS COMPUTERS; OPTIMAL LOAD BALANCING; PARADOXIAL BEHAVIOR; PERFORMANCE OPTIMIZATION;

COMPUTER SYSTEMS;

EID: 4243202772     PISSN: 00045411     EISSN: None     Source Type: Journal    
DOI: 10.1145/567112.567113     Document Type: Article

References (26)

1. ARORA, N., AND SEN, S. 1997. Resolving social dilemmas using genetic algorithms: Initial results. In Proceedings of the 7th International Conference on Genetic Algorithms. Michigan State University, 689-695.
2. BRAESS, D. 1968. Über ein Paradoxen aus der Verkehrsplanung. Unternehmensforschung 12, 258-268.
3. CALVERT, B., SOLOMON, W., AND ZIEDINS, I. 1997. Braess's paradox in a queueing network with state-dependent routing, J. Appl. Prob. 34, 134-154.
4. COHEN, J. E., AND JEFFRIES, C. 1997. Congestion resulting from increased capacity in single-server queueing networks. IEEE/ACM Trans. Netw. 5, 1220-1225.
5. COHEN, J. E., AND KELLY, F. P. 1990. A paradox of congestion in a queuing network. J. Appl. Prob. 27, 730-734.
6. FRANK, M. 1981. The Braess paradox. Math. Prog. 20, 283-302.
7. HAURIE, A., AND MARCOTTE, P. 1985. On the relationship between Nash-Cournot and Wardrop equilibria. Networks 15, 295-308.
8. KAMEDA, H. 2002. How harmful the paradox can be in the Braess/Cohen-Kelly-Jeffries networks. In Proceedings of IEEE INFOCOM 2002 (New York, NY). IEEE Computer Society Press, Los Alamitos, Calif.
9. KAMEDA, H., ALTMAN, E., KOZAWA, T., AND HOSOKAWA, Y. 2000. Braess-like paradoxes in distributed computer systems. IEEE Trans. Automatic Contr. 45, 1687-1691.
10. KAMEDA, H., HOSOKAWA, Y., AND POURTALLIER, O. 2001a. Effects of symmetry on Braess-like paradoxes in distributed computer systems - A numerical study -. In Proceedings of the 40th IEEE Conference on Decision and Control (Orlando, Fl.) IEEE Computer Society Press, Los Alamitos, Calif., 831-836.
11. KAMEDA, H., KOZAWA, T., AND LI, J. 1997'a. Anomalous relations among various performance objectives in distributed computer systems. In Proceedings of the 1st World Congress on Systems Simulation. IEEE Computer Society Press, Los Alamitos, Calif., 459-465.
12. KAMEDA, H., LI, J., KIM, C., AND ZHANG, Y. 1997b. Optimal Load Balancing in Distributed Computer Systems. Springer-Verlag, New York.
13. KAMEDA, H., OHTA, M., AND HOSOKAWA, Y. 2001b. Effects of symmetry on paradoxical cost degradation in a Nash non-cooperative network system. In Proceedings of IFAC Symposium on Modeling and Control of Economic Systems (SME 2001) (Klagenfurt, Austria).
14. KIM, C., AND KAMEDA, H. 1990. An algorithm for optimal static load balancing in distributed computer systems. IEEE Trans. Comput. 41, 381-384.
15. KLEINROCK, L. 1976. Queueing Systems, Volume II: Computer Applications. Wiley, New York.
16. KORILIS, Y. A., LAZAR, A. A., AND ORDA, A. 1995. Architecting noncooperative networks. IEEE J. Sel. Areas Commun. 13, 1241-1251.
17. KORILIS, Y. A., LAZAR, A. A., AND ORDA, A. 1999. Avoiding the Braess paradox in noncooperative networks. J. Appl. Prob. 36, 211-222.
18. KOUTSOUPIAS, E., AND PAPADIMITRIOU, C. 1999. Worst-case equilibria. In Proceedings of the 16th Annual Symposium on Theoretical Aspects of Computer Science. 404-413.
19. LI, J., AND KAMEDA, H. 1998. Load balancing problems for multiclass jobs in distributed/parallel computer systems. IEEE Trans. Comput. 47, 322-332.
20. MURCHLAND, J. D. 1970. Braess's paradox of traffic flow. Transpn. Res. 4, 391-394.
21. ORDA, A., ROM, R., AND SHIMKIN, N. 1993. Competitive routing in multiuser communication networks. IEEE/ACM Trans. Netw. 1, 614-627.
22. ROSEN, J. B. 1965. Existence and uniqueness of equilibrium points for concave n-person games. Econometrica 33, 153-163.
23. ROUGHGARDEN, T., AND TARDOS, É. 2000. How bad is selfish routing? In Proceedings of the 41th IEEE Annual Symposium on Foundation of Computer Science. IEEE Computer Society Press, Los Alamitos, Calif., 93-102.
24. SAMUELSON, P. 1992. Tragedy of the open road: Avoiding paradox by use of regulated public utilities that charge corrected Knightian tolls. J. Int. Comparat. Econ. 1, 3-12.
25. SHAPIRO, J. F. 1979. Mathematical Programming, Structures and Algorithms. Wiley, New York.
26. TANTAWI, A. N., AND TOWSLEY, D. 1985. Optimal static load balancing in distributed computer systems. J. ACM 32, 2 (Apr.), 445-465.