Title
On the Downs-Thomson Paradox in a Self-Financing Two-Tier Queuing System.
Abstract
We model a two-tier queuing system with free and toll service options as two parallel M/M/1 servers. We solve for the welfare-maximizing toll service capacity and toll subject to the constraint that the toll service cover its costs. If the free and toll services are both used in equilibrium, a larger free-service capacity implies longer expected waiting time for the free service and lower welfare: an analogue to the Downs-Thomson paradox in transportation economics. The paradox is caused by the presence of scale economies in the toll service combined with the requirement that it be self-financing.
Year
DOI
Venue
2014
10.1287/msom.2014.0476
M&SOM-MANUFACTURING & SERVICE OPERATIONS MANAGEMENT
Keywords
Field
DocType
queuing system,two-tier service system,equilibrium arrival rates,pricing and capacity decisions,Downs-Thomson paradox
Economics,Transport economics,Toll,Microeconomics,Server,Downs–Thomson paradox,Queue management system,Welfare,Economies of scale,Operations management
Journal
Volume
Issue
ISSN
16
2
1523-4614
Citations 
PageRank 
References 
8
0.65
4
Authors
3
Name
Order
Citations
PageRank
Pengfei Guo1102.03
Robin Lindsey280.65
Zhe George Zhang342444.55