Optimal buffer inventory and inspection errors in an imperfect production system with preventive maintenance

Bimal Kumar Sett, Sumon Sarkar, Biswajit Sarkar

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)


This paper considers an imperfect production system with preventive maintenance to obtain the optimal buffer inventory and inspection policy for sold products with free minimal repair warranty. The production system is subject to a random movement from an in-control to an out-of-control state, where some proportion of defective items are produced by the production system during both the in-control and out-of-control states. Online inspection is continuing after a time variable during the production process. Another offline human-based inspection policy is considered at the end of the production cycle to identify the defective items. Defective items found by the inspector are salvaged at some fixed cost before being shipped and the non-inspected items are passed to the customer with free minimal repair warranty. During human-based inspection, some misclassifications may arise from the inspector’s side. Thus, two types of inspection errors (Type I and Type II) are considered to make the model more realistic rather than the existing models. A numerical example along with graphical representations are provided to illustrate the proposed model. Sensitivity analysis of the optimal solution with respect to major parameters of the system has been carried out, and the implications are discussed.

Original languageEnglish
Pages (from-to)545-560
Number of pages16
JournalInternational Journal of Advanced Manufacturing Technology
Issue number1-4
Publication statusPublished - 2017 Apr 1

Bibliographical note

Publisher Copyright:
© 2016, Springer-Verlag London.

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Software
  • Mechanical Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering


Dive into the research topics of 'Optimal buffer inventory and inspection errors in an imperfect production system with preventive maintenance'. Together they form a unique fingerprint.

Cite this