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Modeling an Inventory-queueing System for a Producer-retailer System with a Special (r,Q) Inventory Control Policy and Exponential Leadtime

Nosrat Mirshekarlou, Elahm | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47703 (01)
  4. University: Sharif University of Technology
  5. Department: Industrial Engineering
  6. Advisor(s): Mahlooji, Hashem
  7. Abstract:
  8. This thesis covers the problem of a 2-echolen inventory system including a producer and retailer. Producer makes each part and stores it in its own warehouse which is capable of holding as many as S parts. Time that takes for the producer to produce each part is described by an exponential distribution with a fixed rate. Retailer which has its own warehouse with capacity R sees customers arriving with a Poisson distribution. If either of retailer or producer is out of inventory, system does not accept new customers and it is a lost sale, otherwise the customer is served. Whenever retailer runs out of stock, it places an order of size R. producer then looks at its own inventory, if possible a shipment is sent to the retailer. The time to receive a shipment follows exponential distribution. After defining the problem, a Markov chain is designed for the problem. The Markov chain is too hard to be solved directly, thus several techniques are used to simplify the whole chain and reduce it to a simpler problem. Finally, state probabilities are found with approximation. Using state probabilities we can define and calculate several objective functions for the whole system. We define a usual cost function consisting of 2 inventory holding costs and cost of lost sale. Cost function is a function of R and S. The results are validated comparing to the results of a series of simulation runs
  9. Keywords:
  10. Modeling ; Exponential Distribution ; Queueing-Inventory System ; Queuing Theory ; Ret Ailers ; Producer-Retailer System

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