Analysis of a Decentralized Production-Inventory System

@article{Caldentey2003AnalysisOA,
  title={Analysis of a Decentralized Production-Inventory System},
  author={Ren{\'e} Caldentey and L. Wein},
  journal={Manuf. Serv. Oper. Manag.},
  year={2003},
  volume={5},
  pages={1-17}
}
We model an isolated portion of a competitive supply chain as aM/M/1 make-to-stock queue. The retailer carries finished goods inventory to service a Poisson demand process, and specifies a policy for replenishing his inventory from an upstream supplier. The supplier chooses the service rate, i.e., the capacity of his manufacturing facility, which behaves as a single-server queue with exponential service times. Demand is backlogged and both agents share the backorder cost. In addition, a linear… Expand
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