Inventory Management with Dynamic Bayesian Network Software Systems

Inventory management at a single or multiple levels of a supply chain is usually performed with computations such as Economic Order Quantity or Markov Decision Processes. The former makes many unrealistic assumptions and the later requires specialist Operations Research knowledge to implement. Dynamic Bayesian networks provide an alternative framework which is accessible to non-specialist managers through off-the-shelf graphical software systems. We show how such systems may be deployed to model a simple inventory problem, and learn an improved solution over EOQ. We discuss how these systems can allow managers to model additional risk factors throughout a supply chain through intuitive, incremental extensions to the Bayesian networks.

[1]  R. Handfield,et al.  Purchasing and Supply Chain Management , 1997 .

[2]  David Kaye Managing Risk and Resilience in the Supply Chain , 2008 .

[3]  Evan L. Porteus Foundations of Stochastic Inventory Theory , 2002 .

[4]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[5]  Andrew W. Moore,et al.  Reinforcement Learning: A Survey , 1996, J. Artif. Intell. Res..

[6]  Nigel Slack,et al.  Operations management , 1994 .

[7]  Miroljub Kljajic,et al.  Adaptive Fuzzy Inventory Control Algorithm for Replenishment Process Optimization in an Uncertain Environment , 2007, BIS.

[8]  Nevin Lianwen Zhang,et al.  A computational theory of decision networks , 1993, Int. J. Approx. Reason..

[9]  Judea Pearl,et al.  Bayesian Networks , 1998, Encyclopedia of Social Network Analysis and Mining. 2nd Ed..

[10]  Stuart J. Russell,et al.  Dynamic bayesian networks: representation, inference and learning , 2002 .

[11]  Kin Keung Lai,et al.  Integration of Inventory and Transportation Decisions in a Logistics System , 2010 .

[12]  Scott Buffett A Markov Model for Inventory Level Optimization in Supply-Chain Management , 2005, Canadian Conference on AI.

[13]  S. Griffis EDITOR , 1997, Journal of Navigation.

[14]  Donald Erlenkotter,et al.  Ford Whitman Harris and the Economic Order Quantity Model , 1990, Oper. Res..

[15]  Pierpaolo Pontrandolfo,et al.  Inventory management in supply chains: a reinforcement learning approach , 2002 .

[16]  Andrew G. Barto,et al.  Reinforcement learning , 1998 .

[17]  Kenneth Lysons,et al.  Purchasing and Supply Chain Management , 2000 .

[18]  Ronald A. Howard,et al.  Influence Diagrams , 2005, Decis. Anal..

[19]  Richard S. Sutton,et al.  Dimensions of Reinforcement Learning , 1998 .