Some Properties of the Erlang-B and Erlang-C Formulae (Technical Supplement to 'Behavior-Aware Queueing: The Finite-Buffer Setting with Many Strategic Servers')

9 Pages Posted: 11 May 2023

See all articles by Yueyang Zhong

Yueyang Zhong

The University of Chicago Booth School of Business

Raga Gopalakrishnan

Smith School of Business at Queen's University

Amy Ward

The University of Chicago Booth School of Business

Date Written: April 26, 2023

Abstract

The Erlang-B and Erlang-C formulae are fundamental formulae in queueing theory. This document compiles some important properties of these formulae. This document serves as a technical supplement to Zhong et al. (2023) "Behavior-Aware Queueing: The Finite-Buffer Setting with Many Strategic Servers", augmenting the accompanying Electronic Companion (EC) with the proofs for Lemmas EC.1, EC.2, EC.3, EC.12 and EC.13.

Suggested Citation

Zhong, Yueyang and Gopalakrishnan, Ragavendran and Ward, Amy, Some Properties of the Erlang-B and Erlang-C Formulae (Technical Supplement to 'Behavior-Aware Queueing: The Finite-Buffer Setting with Many Strategic Servers') (April 26, 2023). Available at SSRN: https://ssrn.com/abstract=4430477 or http://dx.doi.org/10.2139/ssrn.4430477

Yueyang Zhong (Contact Author)

The University of Chicago Booth School of Business ( email )

5807 S. Woodlawn Avenue
Chicago, IL 60637
United States

Ragavendran Gopalakrishnan

Smith School of Business at Queen's University ( email )

143 Union Street
Kingston, Ontario K7L 3N6
Canada
+16135332340 (Phone)

HOME PAGE: http://https://smith.queensu.ca/faculty_and_research/faculty_list/gopalakrishnan-raga.php

Amy Ward

The University of Chicago Booth School of Business ( email )

5807 S Woodlawn Ave
Chicago, IL 60637
United States

HOME PAGE: http://www.chicagobooth.edu/faculty/directory/w/amy-ward

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