A central-limit-theorem version of the periodic Little’s law

Ward Whitt () and Xiaopei Zhang ()
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Ward Whitt: Columbia University
Xiaopei Zhang: Columbia University

Queueing Systems: Theory and Applications, 2019, vol. 91, issue 1, No 2, 15-47

Abstract: Abstract We establish a central-limit-theorem (CLT) version of the periodic Little’s law (PLL) in discrete time, which complements the sample-path and stationary versions of the PLL we recently established, motivated by data analysis of a hospital emergency department. Our new CLT version of the PLL extends previous CLT versions of LL. As with the LL, the CLT version of the PLL is useful for statistical applications.

Keywords: Little’s law; $$L = \lambda W$$ L = λ W; Periodic queues; Central limit theorem; Emergency departments; Weak convergence in $$(\ell _1)^d$$ ( ℓ 1 ) d; 60F05; 60F25; 60K25; 90B22 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11134-018-9588-8

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