Skip to main content
SpringerLink
Log in

A New Approach to Rework in Merge Production Systems

  • Conference paper
  • First Online:
Book cover Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 236))

  • 1160 Accesses

Abstract

This paper introduces and incorporates the concept of rework in modelling of a merge production system under random conditions. Merge and split production stages are common in assembly lines. Merging of components can be performed correctly or otherwise. If not done properly, a merging operation can be redone, i.e. the merging operation can be reworked. This paper explains the modelling of a two stage merge production system subject to rework using semi-regenerative stochastic processes. The modelling has been done to obtain various busy period durations over finite time duration for transient state analysis. Also, the modelling and analysis has been carried out without any particular assumption on the distributions of processing times. All the processing times involved have been assumed to be arbitrarily distributed.

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

Access this chapter

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Institutional subscriptions

References

  1. Birolini, A.: On the use of stochastic processes in modeling reliability problems. Springer-Verlag, Lecture Notes in Economics and Mathematical Systems (1985)

    Book  MATH  Google Scholar 

  2. Buffa, E.S.: Modern production/operations management, 7th edn. Wiley Eastern Ltd., New Delhi (1983)

    Google Scholar 

  3. Buzacott, J.A., Shanthikumar, J.G.: Stochastic models of manufacturing sys-tems. Prentice Hall Inc., New Jersey (1993)

    Google Scholar 

  4. De Koster, M.B.M., Wigngaard, J.: On the equivalence of multi-stage production lines and two-stage lines. I.I.E Trans. 19, 351–354 (1987).

    Google Scholar 

  5. Yang, L., Jingshan, L.: Performance analysis of split and merge production systems. In: Proceedings of 2009 American Control Conference, pp. 2190–2195 (2009).

    Google Scholar 

  6. Jones, J.G.: On the numerical solution of convolution integral equations and systems of such equations. Math. Comput. 15, 131–142 (1961)

    Article  MATH  Google Scholar 

  7. Neuts, M.F.: Matrix-geometric solutions in stochastic models: an algorithmic approach. The John Hopkins University Press, Baltimore and London (1981)

    MATH  Google Scholar 

  8. Gopalan, M.N.: Dinesh Kumar, U.: On the production rate of a merge production system. Int. J. Qual. Reliab. Manage. 11(1994), 66–72 (1994)

    Google Scholar 

  9. Koneigsberg, E.: Production lines and internal storages : a review. Manage. Sci. 5, 410–433 (1959)

    Article  Google Scholar 

  10. Shanthikumar, J.G., Tien, C.C.: An algorithmic solution to two-stage transfer lines with possible scrapping of units. Manage. Sci. 29, 1069–1086 (1993)

    Article  Google Scholar 

  11. Buscher, U., Lindner, G.: Optimizing a production system with rework and equal sized batch shipments. Comput. Oper. Res. 34, 515–535 (2007)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Management Department, BITS, Pilani, 333031, India

    S. Kannan

  2. Operations Management, Fortune Institute of International Business, Vasant Vihar, New Delhi, 110057, India

    Sadia Samar Ali

Authors
  1. S. Kannan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sadia Samar Ali
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Kannan .

Editor information

Editors and Affiliations

  1. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    B. V. Babu

  2. Department of Computer Science, Liverpool Hope University, Liverpool, United Kingdom

    Atulya Nagar

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  4. Department of Paper Technology, Indian Institute of Technology Roorkee, Roorkee, India

    Millie Pant

  5. Department of Applied Mathematics, South Asian University, New Delhi, India

    Jagdish Chand Bansal

  6. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Kanad Ray

  7. Institute of Engineering and Technology, JK Lakshmipat University, Jaipur, Rajasthan, India

    Umesh Gupta

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer India

About this paper

Cite this paper

Kannan, S., Ali, S.S. (2014). A New Approach to Rework in Merge Production Systems. In: Babu, B., et al. Proceedings of the Second International Conference on Soft Computing for Problem Solving (SocProS 2012), December 28-30, 2012. Advances in Intelligent Systems and Computing, vol 236. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1602-5_56

Download citation

  • DOI: https://doi.org/10.1007/978-81-322-1602-5_56

  • Published:

  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-1601-8

  • Online ISBN: 978-81-322-1602-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation