Title
New analytical bounds on the average undershoot in an infinite horizon (s, S) inventory system.
Abstract
We provide new bounds on the average undershoot in an infinite horizon (s,S) inventory system with i.i.d demands with known moments up to order three. The two moment bound improves on Lorden’s bound [G. Lorden, On Excess over the Boundary, Annals of Mathematical Statistics 41 (2) (1970) 520–527] for small values of S–s and low values of the coefficient of variation. The three moment bound provides further improvement for negatively skewed demands. The bounds are sharp and shown to be useful when the asymptotically tight two moment approximation fails.
Year
DOI
Venue
2013
10.1016/j.orl.2012.11.011
Operations Research Letters
Keywords
Field
DocType
Inventory,Moment bounds,Semidefinite program
Mathematical optimization,Combinatorics,Overshoot (signal),Mathematical statistics,Infinite horizon,Inventory system,Mathematics
Journal
Volume
Issue
ISSN
41
1
0167-6377
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
Chun-Hung Chiu1855.77
Ngai-Hang Z. Leung271.00
Karthik Natarajan340731.52