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1 results

  • Continuous production/inventory model with analogy to certain queueing and dam models

  • David Perry, Benny Levikson
  • Journal:
    Advances in Applied Probability / Volume 21 / Issue 1 / March 1989
    Published online by Cambridge University Press:
    01 July 2016, pp. 123-141
    Print publication:
    March 1989

  • We consider two storage/production systems in which items are produced continuously over time with fixed rate. In the first system items have infinite lifetime, while in the second system the lifetime of the items are finite and fixed. The inventory level distributions and other important functionals associated with these storage systems are derived. This derivation is accomplished by an analogy existing between the storage systems and certain queueing systems and a finite dam model. Optimization problems connected with these systems are also considered.