On Queue-Length Information in a Tandem Queueing System

44 Pages Posted: 11 Dec 2020 Last revised: 1 Dec 2021

See all articles by Jingwei Ji

Jingwei Ji

University of Southern California

Ricky Roet-Green

University of Rochester - Simon Business School

Date Written: November 11, 2020

Abstract

We consider a system where customers have to go through two service phases. For example, patients who arrive to an ER first wait for being admitted and then wait to be seeing by a physician. Assuming patients are served according to the order of their arrival (FCFS), we study the case where queue-length information is available at arrival: customers observe the state of the entire system and decide whether to join or not. We calculate the equilibrium strategy and show that customer strategy is not necessarily a function of the total number of customers in the system. We also show that when customers join the system they might balk in front of the second queue, but never renege from the first queue. To learn the value of information we compare the observable system with a system in which queue-length information is only partially available: instead of observing the full system state, customers observe queue length only at arrival to each queue.

Keywords: tandem queues, strategic queueing, queue-length information, revenue, social welfare

Suggested Citation

Ji, Jingwei and Roet-Green, Ricky, On Queue-Length Information in a Tandem Queueing System (November 11, 2020). Available at SSRN: https://ssrn.com/abstract=3728894 or http://dx.doi.org/10.2139/ssrn.3728894

Jingwei Ji

University of Southern California ( email )

3650 McClintock Ave
Los Angeles, CA 90089
United States

Ricky Roet-Green (Contact Author)

University of Rochester - Simon Business School ( email )

Rochester, NY 14627
United States

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