Distribution Channel Coordination Through Penalty Schemes

  • Quansheng Lei
  • Jian Chen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3930)


This paper studies a stochastic inventory problem from the viewpoint of minimizing distribution system costs. First, the order quantity of every period must be greater than some minimal level and less than some upper limit, and we apply penalties to the retailer when his/her purchase quantity exceeds these specified boundaries. Then the dynamic programming equation for the problem is established, and we prove the existence of an optimal policy and characterize the dynamic programming equation both in finite and infinite horizons. Finally, an example is provided, and computational results indicate that penalty schemes can lead to significant savings in total expected distribution system costs.


Distribution Center Order Quantity Supply Contract Bullwhip Effect Inventory Position 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Quansheng Lei
    • 1
  • Jian Chen
    • 2
  1. 1.School of AutomationBeijing University of Posts and TelecommunicationsBeijingChina
  2. 2.School of Economics and ManagementTsinghua UniversityBeijingChina

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