Abstract
A novel state-space model of a multi-node supply chain is presented, controlled via local proportional inventory-replenishment policies. The model is driven by a stochastic sequence representing customer demand. The model is analysed under stationarity conditions and a simple recursive scheme is developed for updating its covariance matrix. This allows us to characterise the 'bullwhip effect' (demand amplification) in the chain and to solve an optimisation problem for a three-node model involving the minimisation of inventory subject to a probabilistic constraint on downstream demand. Finally, issues related to estimation schemes based on local historical data are briefly discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 699-711 |
| Number of pages | 13 |
| Journal | International Journal of Systems Science |
| Volume | 39 |
| Issue number | 7 |
| Early online date | 19 May 2008 |
| DOIs | |
| Publication status | Published - Jul 2008 |
Funding
C.I. Papanagnou would like to thank Greek State Scholarships Foundation (I.K.Y.) for the financial support of his research.
Keywords
- Bullwhip effect
- Covariance matrix estimation
- Information-sharing
- State-space model
- Supply chain
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