학술논문

Braess's paradox in a queueing network with state-dependent routing
Document Type
Article
Source
Journal of Applied Probability; March 1997, Vol. 34 Issue: 1 p134-154, 21p
Subject
Language
ISSN
00219002; 14756072
Abstract
We consider initially two parallel routes, each of two queues in tandem, with arriving customers choosing the route giving them the shortest expected time in the system, given the queue lengths at the customer's time of arrival. All interarrival and service times are exponential.We then augment this network to obtain a Wheatstone bridge, in which customers may cross from one route to the other between queues, again choosing the route giving the shortest expected time in the system, given the queue lengths ahead of them.We find that Braess's paradox can occur: namely in equilibrium the expected transit time in the augmented network, for some service rates, can be greater than in the initial network.