Application of queuing theory in production-inventory optimization

Authors

  • M. R. Gholamian Department of Industrial Engineering, Iran University of Science and Technology, Narmak, 16844, Tehran, Iran
  • Mohammad Feizabadi Department of Industrial Engineering, Sharif University, Azady, Tehran, Iran
  • Reza Rashid Department of Industrial Engineering, Iran University of Science and Technology, Narmak, 16844, Tehran, Iran
  • Seyed Farzad Hoseini Department of Industrial Engineering, Iran University of Science and Technology, Narmak, 16844, Tehran, Iran
Abstract:

This paper presents a mathematical model for an inventory control system in which customers’ demands and suppliers’ service time are considered as stochastic parameters. The proposed problem is solved through queuing theory for a single item. In this case, transitional probabilities are calculated in steady state. Afterward, the model is extended to the case of multi-item inventory systems. Then, to deal with the complexity of this problem, a new heuristic algorithm is developed. Finally, the presented bi-level inventory-queuing model is implemented as a case study in Electroestil Company.

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Journal title

volume 11  issue 4

pages  -

publication date 2015-12-01

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