Approximate Analysis of Batch Ordering Policies in Distribution Inventory Systems
نویسندگان
چکیده
We have considered a distribution inventory system with one warehouse and several retailers. Customer demand arrives at the retailers and the material flow between echelons is driven by reorder point/order quantity inventory control policies. Our objective is to calculate the long-run inventory statistics. The challenge in this system is to characterize the demand arrival process at the warehouse. A similar example is a queue to which the arrival process is the superposition of separate arrival streams, each of whose inter-arrival times is of Erlang distribution. We present a methodology to characterize such arrival streams as Markovian processes. We extend the methodology to phase-type arrival streams as well.
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