Skip to main content
SpringerLink
Log in
Book cover

Operations Research, Engineering, and Cyber Security pp 57–68Cite as

Optimal Batch Production with Rework Process for Products with Time-Varying Demand Over Finite Planning Horizon

  • Chapter
  • First Online:

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 113))

Abstract

In this paper a finite planning horizon, production–inventory model with rework, is considered. During the production process defective items are produced. These items, after the end of the production process, are repaired and converted into items of perfect quality. The demand for the item is assumed to be time varying. The objective is the determination of the production–reworking schedule that minimizes the total cost over the planning horizon. A procedure is proposed for the determination of such schedule.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. F.W. Harris, How many parts to make at once. Fact. Mag. Manage. 10, 135–136, 152 (1913)

    Google Scholar 

  2. M.J. Rosenblatt, H.L. Lee, Economic production cycles with imperfect production processes. IIE Trans. 18, 48–55 (1986)

    Article  Google Scholar 

  3. M. Hariga, M. Ben-Daya, Note: the economic manufacturing lot-sizing problem with imperfect production processes: bounds and optimal solutions. Nav. Res. Log. 45, 423–433 (1998)

    Article  MATH  Google Scholar 

  4. I. Moon, B.C. Giri, K. Choi, Economic lot scheduling problem with imperfect production processes and setup times. J. Oper. Res. Soc. 53, 620–629 (2002)

    Article  MATH  Google Scholar 

  5. C.H. Wang, Integrated production and product inspection policy for a deteriorating production system. Int. J. Prod. Econ. 95, 123–134 (2005)

    Article  Google Scholar 

  6. S.S. Sana, S.K. Goyal, K. Chaudhuri, An imperfect production process in a volume flexible inventory model. Int. J. Prod. Econ. 105, 548–559 (2007)

    Article  Google Scholar 

  7. L.E. Cardenas-Barron, Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Comput. Ind. Eng. 57, 1105–1113 (2009)

    Article  Google Scholar 

  8. P.A. Hayek, M.K. Salameh, Production lot sizing with the reworking of imperfect quality item produced. Prod. Plan. Control. 12, 584–590 (2001)

    Article  Google Scholar 

  9. Y.P. Chiu, Determining the optimal lot size for the finite production model with random defective rate, the rework process, and backlogging, Eng. Optim. 35, 427–437 (2003)

    Article  Google Scholar 

  10. A.M.M. Jamal, B.R. Sarker, S. Mondal, Optimal manufacturing batch size with rework process at a single stage production system. Comput. Ind. Eng. 47, 77–89 (2004)

    Article  Google Scholar 

  11. L.E. Cardenas–Barron, Optimal manufacturing batch size with rework in a single–stage production system–a simple derivation. Comput. Ind. Eng. 55, 758–765 (2008)

    Google Scholar 

  12. P. Biswas, B. Sarker, Optimal batch quantity models for a lean production system with in-cycle rework and scrap. Int. J. Prod. Res. 46, 6585–6610 (2008)

    Article  Google Scholar 

  13. Y.S.P. Chiu, K.K. Chen, F.T. Cheng, M.F. Wu, Optimization of the finite production rate model with scrap, rework and stochastic machine breakdown. Comput. Math. Appl. 59, 919–932 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. C.J. Chung, G.A. Widyadana, H.M. Wee, Economic production quantity model for deteriorating inventory with random machine unavailability and shortage. Int. J. Prod. Res. 49, 883–902 (2011)

    Article  MATH  Google Scholar 

  15. H.M. Wee, W.T. Wang, P.C. Yang, A production quantity model for imperfect quality items with shortage and screening constraint. Int. J. Prod. Res. 51, 1869–1884 (2013)

    Article  Google Scholar 

  16. A.H. Tai, Economic production quantity models for deteriorating/imperfect products and service with rework. Comput. Ind. Eng. 66, 879–888 (2013)

    Article  Google Scholar 

  17. B. Pal, S.S. Sana, K. Chaudhuri, Maximising profits for an EPQ model with unreliable machine and rework of random defective items. Int. J. Syst. Sci. 44, 582–594 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  18. B. Sarkar, L.E. Cardenas–Barron, M. Sarkar, M.L. Singgih, An economic production quantity model with random defective rate, rework process and backorders for a single stage production system. J. Manuf. Syst. 33, 423–435 (2014)

    Google Scholar 

  19. C.K. Sivashankari, S. Panayappan, Production inventory model with reworking of imperfect production, scrap and shortages. Int. J. Manag. Sci. Eng. Manag. 9, 9–20 (2014)

    Google Scholar 

  20. E.A. Silver, D.F. Pyke, R. Peterson, Inventory Management and Production Planning and Scheduling (Wiley, New York, 1998

    Google Scholar 

  21. Z.T. Balkhi, On a finite production lot size inventory model for deteriorating items: an optimal solution. Eur. J. Oper. Res. 132, 210–223 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  22. S. Sana, S.K. Goyal, K.S. Chaudhuri, Production–inventory model for a deteriorating item with trended demand and shortages. Eur. J. Oper. Res. 157, 357–371 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  23. A. Roy, S. Kar, M. Maiti, Volume flexible production-policy for randomly deteriorating item with trended demand and shortages. Int. J. Prod. Econ. 128, 188–199 (2010)

    Article  Google Scholar 

  24. H.-L. Yang, A partial backlogging production-inventory lot-size model for deteriorating items with time-varying production and demand rate over a finite time horizon. Int. J. Syst. Sci. 42, 1397–1407 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  25. L. Benkherouf, D. Boushehri, Optimal policies for a finite-horizon production inventory model. Adv. Oper. Res. Article ID 768929, 16 p. (2012). doi:10.1155/2012/768929

    Google Scholar 

  26. D. Das, M.B. Kar, A. Roy, S. Kar, Two-warehouse production inventory model for a deteriorating item with time-varying demand and shortages: a genetic algorithm with varying population size approach. Optim. Eng. 15, 889–907 (2014)

    Article  MathSciNet  Google Scholar 

  27. L. Benkherouf, K. Skouri, I. Konstantaras, Optimal control of production remanufacturing and refurbishing activities in a finite planning horizon inventory system. J. Optim. Theory Appl. 168, 677–698 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  28. L. Benkherouf, M.A. Omar, Optimal manufacturing batch size with rework for a finite-horizon and time-varying demand rates inventory model. RAIRO Oper. Res. 51 (1), 173–187 (2017)

    Article  Google Scholar 

  29. T.M. Al-Khamis, L. Benkherouf, M.A. Omar, Optimal policies for a finite-horizon batching inventory model. Int. J. Syst. Sci 45, 2196–2202 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  30. S. Dharmadhikari, J.D. Kumar, Unimodality, convexity, and applications, in Probability and Mathematical Statistics (Academic, Boston, 1988)

    MATH  Google Scholar 

  31. H. Rau, B.C. Ouyang, A general and optimal approach for three inventory models with a linear trend in demand. Comput. Ind. Eng. 52, 521–532 (2007)

    Article  Google Scholar 

  32. L. Benkherouf, B.H. Gilding, On a class of optimization problems for finite time horizon models. SIAM J. Control Optim. 48, 993–1030 (2009)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Science, Department of Statistics and Operations Research, Kuwait University, Safat, Kuwait

    Lakdere Benkherouf

  2. Department of Mathematics, University of Ioannina, Ioannina, Greece

    Konstantina Skouri

  3. Department of Business Administration, School of Business Administration, University of Macedonia, Thessaloniki, Greece

    Ioannis Konstantaras

Authors
  1. Lakdere Benkherouf
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Konstantina Skouri
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ioannis Konstantaras
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Konstantina Skouri .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Hellenic Military Academy, Vari Attikis, Greece

    Nicholas J. Daras

  2. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Benkherouf, L., Skouri, K., Konstantaras, I. (2017). Optimal Batch Production with Rework Process for Products with Time-Varying Demand Over Finite Planning Horizon. In: Daras, N., Rassias, T. (eds) Operations Research, Engineering, and Cyber Security. Springer Optimization and Its Applications, vol 113. Springer, Cham. https://doi.org/10.1007/978-3-319-51500-7_3

Download citation

Publish with us

Policies and ethics

Search

Navigation