Mean Flowtime and Inventory in Production Systems: A Finite Time Analogue to Little’s Law

Author(s)

John J. Kanet, University of DaytonFollow

Document Type

Article

Publication Date

9-2004

Publication Source

International Journal of Production Economics

Abstract

One of the most important results regarding flows in production systems is the well-known formula L=λW, commonly referred to as “Little's Law”. Whereas the formula pertains to steady state averages, we show here that it has a finite analogue, i.e., there is another “law” for the case of a finite time interval. The analogue has practical economic value as it provides a precise reconciliation of average inventory and time-in-system over a finite time interval—sometimes more relevant than “steady state” averages. Examples of the usefulness of the law in practical managerial situations are provided. An additional result is to show how the analogue leads to a straightforward proof of Little's Law that requires minimal assumptions.

Inclusive pages

37–46

ISBN/ISSN

0925-5273

Comments

Permission documentation is on file.

Copyright

Copyright © 2004, Elsevier

Publisher

Elsevier

Volume

91

Issue

1

Peer Reviewed

yes

eCommons Citation

Kanet, John J., "Mean Flowtime and Inventory in Production Systems: A Finite Time Analogue to Little’s Law" (2004). MIS/OM/DS Faculty Publications. 19.
https://ecommons.udayton.edu/mis_fac_pub/19