A paradox of congestion in a queuing network
- 1 September 1990
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 27 (03) , 730-734
- https://doi.org/10.1017/s0021900200039280
Abstract
In an uncongested transportation network, adding routes and capacity to an existing network must decrease, or at worst not change, the average time individuals require to travel through the network from a source to a destination. Braess (1968) discovered that the same is not true in congested networks. Here we give an example of a queuing network in which added capacity leads to an increase in the mean transit time for everyone. Self-seeking individuals are unable to refrain from using the additional capacity, even though using it leads to deterioration in the mean transit time. This example appears to be the first queuing network to demonstrate the general principle that in non-co-operative games with smooth payoff functions, user-determined equilibria generically deviate from system-optimal equilibria.Keywords
This publication has 5 references indexed in Scilit:
- Inefficiency of Nash EquilibriaMathematics of Operations Research, 1986
- On some traffic equilibrium theory paradoxesTransportation Research Part B: Methodological, 1984
- Sensitivity analysis for the asymmetric network equilibrium problemMathematical Programming, 1984
- The Prevalence of Braess' ParadoxTransportation Science, 1983
- A Minimum Delay Routing Algorithm Using Distributed ComputationIEEE Transactions on Communications, 1977