Title
Robust Approximation to Multiperiod Inventory Management
Abstract
We propose a robust optimization approach to address a multiperiod inventory control problem under ambiguous demands, that is, only limited information of the demand distributions such as mean, support, and some measures of deviations. Our framework extends to correlated demands and is developed around a factor-based model, which has the ability to incorporate business factors as well as time-series forecast effects of trend, seasonality, and cyclic variations. We can obtain the parameters of the replenishment policies by solving a tractable deterministic optimization problem in the form of a second-order cone optimization problem (SOCP), with solution time; unlike dynamic programming approaches, it is polynomial and independent on parameters such as replenishment lead time, demand variability, and correlations. The proposed truncated linear replenishment policy (TLRP), which is piecewise linear with respect to demand history, improves upon static and linear policies, and achieves objective values that are reasonably close to optimal.
Year
DOI
Venue
2010
10.1287/opre.1090.0746
Operations Research
Keywords
Field
DocType
demand distribution,ambiguous demand,linear policy,robust approximation,multiperiod inventory management,replenishment policy,demand variability,correlated demand,multiperiod inventory control problem,replenishment lead time,robust optimization approach,proposed truncated linear replenishment,robust optimization,inventory control
Dynamic programming,Mathematical optimization,Polynomial,Robust optimization,Inventory control,Lead time,Optimization problem,Piecewise linear function,Complete information,Operations management,Mathematics
Journal
Volume
Issue
ISSN
58
3
0030-364X
Citations 
PageRank 
References 
42
1.48
29
Authors
2
Name
Order
Citations
PageRank
Chuen-Teck See1421.48
Melvyn Sim21909117.68