Optimal production run time and inspection errors in an imperfect production system with warranty

Biswajit Sarkar, Bimal Kumar Sett, Sumon Sarkar

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


This paper considers an imperfect production system to obtain the optimal production run time and inspection policy. Contrary to the existing literature this model considerers that product inspection performs at any arbitrary time of the production cycle and after the inspection, all defective products produced until the end of the production run are fully reworked. Due to some misclassification during inspection, from the inspector's side two types of inspection errors as Type I and Type II are considered to make the model more realistic rather than existing models. Defective items, found by the inspector, are salvaged at some cost before being shipped. Non-inspected defective items are passed to customers with free minimal repair warranty. The model gives three special cases, where it is found that this model converges over the exiting literature. Some numerical examples along with graphical representations are provided to illustrate the proposed model with comparison with the existing models. Sensitivity analysis of the optimal solution with respect to key parameters of the model has been carried out and the implications are discussed.

Original languageEnglish
Pages (from-to)267-282
Number of pages16
JournalJournal of Industrial and Management Optimization
Issue number1
Publication statusPublished - 2018

Bibliographical note

Publisher Copyright:
© 2017 American Institute of Mathematical Sciences.

All Science Journal Classification (ASJC) codes

  • Business and International Management
  • Strategy and Management
  • Control and Optimization
  • Applied Mathematics


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