An inventory model with reliability in an imperfect production process

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144 Citations (Scopus)


The paper analyzes an economic manufacturing quantity (EMQ) model with price and advertising demand pattern in an imperfect production process under the effect of inflation. If the machine goes through a long-run process, it may shift from in-control state to out-of-control state. As a result, the system produces imperfect items. The imperfect items are reworked at a cost to make it as new. The production of imperfect quality items increases with time. To reduce the production of the imperfect items, the systems have to more reliable and the produced items depend on the reliability of the machinery system. In this direction, the author considers that the development cost, production cost, material cost are dependent on reliability parameter. Considering reliability as a decision variable, the author constructs an integrated profit function which is maximized by control theory. A numerical example along with graphical representation and sensitivity analysis are provided to illustrate the model.

Original languageEnglish
Pages (from-to)4881-4891
Number of pages11
JournalApplied Mathematics and Computation
Issue number9
Publication statusPublished - 2012 Jan 1

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics


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