Authors
Nelly Litvak, Ivo Adan
Publication date
2001/3
Journal
Journal of Applied Probability
Volume
38
Issue
1
Pages
45-54
Publisher
Cambridge University Press
Description
A carousel is an automated warehousing system consisting of a large number of drawers rotating in a closed loop. In this paper, we study the travel time needed to pick a list of items when the carousel operates under the nearest item heuristic. We find a closed form expression for the distribution and all moments of the travel time. We also analyse the asymptotic behaviour of the travel time when the number of items tends to infinity. All results follow from probabilistic arguments based on properties of uniform order statistics.
Total citations
Scholar articles
N Litvak, I Adan - Journal of Applied Probability, 2001