Pooling and Balking: Decisions on COVID-19 Testing

17 Pages Posted: 16 Jun 2020 Last revised: 26 Jun 2020

See all articles by Daniel Zhuoyu Long

Daniel Zhuoyu Long

The Chinese University of Hong Kong (CUHK) - Department of Systems Engineering and Engineering Management

Rowan Wang

Singapore Management University

Zijin Zhang

University of Michigan, Stephen M. Ross School of Business

Date Written: June 14, 2020

Abstract

The most important issue in the prevention and mitigation of the COVID-19 pandemic is, perhaps, testing. To increase the convenience and efficiency of testing, many countries have set up walk-in testing sites. One fundamental decision for local governments or authorities to make is, should they build fewer centralized walk-in or drive-thru testing site (with more manpower and therefore a higher service rate) or more decentralized testing sites (each with less manpower and therefore a lower service rate)? To make this decision, one needs to understand the benefits and/or drawbacks of pooling incorporating people's balking behavior. In this short paper, we build classic queueing models to analytically characterize how system performance measures such as the expected waiting time, the expected queue length, and the balking probability change with the service rate, under different values of the implied utilization. These performance measures not only indicate the productivity and efficiency of testing operations, but also influence the safety and well-being of people and society.

Keywords: pooling; balking; waiting time; queue length

Suggested Citation

Long, Daniel Zhuoyu and Wang, Rowan and Zhang, Zijin, Pooling and Balking: Decisions on COVID-19 Testing (June 14, 2020). Available at SSRN: https://ssrn.com/abstract=3628484 or http://dx.doi.org/10.2139/ssrn.3628484

Daniel Zhuoyu Long (Contact Author)

The Chinese University of Hong Kong (CUHK) - Department of Systems Engineering and Engineering Management ( email )

Hong Kong
China

Rowan Wang

Singapore Management University ( email )

Li Ka Shing Library
70 Stamford Road
Singapore 178901, 178899
Singapore

Zijin Zhang

University of Michigan, Stephen M. Ross School of Business ( email )

701 Tappan Street
Ann Arbor, MI MI 48109
United States

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