An imperfect production process for time varying demand with inflation and time value of money - An EMQ model

Biswajit Sarkar, Shib Sankar Sana, Kripasindhu Chaudhuri

Research output: Contribution to journalArticle

98 Citations (Scopus)


The paper deals with an economic manufacturing quantity (EMQ) model for time-dependent (quadratic) demand pattern. Every manufacturing sector wants to produce perfect quality items. But in long run process, there may arise different types of difficulties like labor problem, machinery capabilities problems, etc.; due to that the machinery systems shift from in-control state to out-of-control state as a result the manufacturing systems produce imperfect quality items. The imperfect items are reworked at a cost to become the perfect one. The rework cost may be reduced by improvements in product reliability i.e.; the production process depend on time and also the reliability parameter. We want to determine the optimal product reliability and production rate that achieves the biggest total integrated profit for an imperfect manufacturing process using Euler-Lagrange theory to build up the necessary and sufficient conditions for optimality of the dynamic variables. Finally, a numerical example is discussed to test the model which is illustrated graphically also.

Original languageEnglish
Pages (from-to)13543-13548
Number of pages6
JournalExpert Systems with Applications
Issue number11
Publication statusPublished - 2011 Oct 1


All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Computer Science Applications
  • Artificial Intelligence

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