Analysis of a (Q, r, T) inventory policy with deterministic and random yields when future supply is uncertain

Mahmut Parlar, David Perry

Research output: Contribution to journalArticlepeer-review


This paper considers a stochastic inventory model where the quantity ordered sometimes may not be available due to strikes, etc. We represent the supplier's availability process as a two-state continuous time Markov chain where one state corresponds to availability and the other state corresponds to unavailability of the supplier. The problem is to determine the reorder point, the order quantity when the system is found in ON state, and how long to wait before the next order if system is in OFF state. It is assumed that the state of the system is identified at a cost. Using the renewal reward theorem we construct the objective function as the long-run average cost. Numerical . sensitivity analysis results are provided. We also analyze the problem when the yield (i.e., amount received, if available) is random, and discuss an example with Beta distributed yield.

Original languageEnglish
Pages (from-to)431-443
Number of pages13
JournalEuropean Journal of Operational Research
Issue number2
StatePublished - 20 Jul 1995

Bibliographical note

Funding Information:
* This research was supported by the Natural Sciences and Engineering Research Council of Canada under Grant No. A5872. * * Corresponding author.

ASJC Scopus subject areas

  • General Computer Science
  • Modeling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management


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