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On Queue-Length Information in a Tandem Queueing System

Authors: Jingwei Ji; Ricky Roet-Green;

On Queue-Length Information in a Tandem Queueing System

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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