Skip to main content

A Pomset-Based Model for Estimating Workcells’ Setups in Assembly Sequence Planning

  • Conference paper
  • First Online:
  • 830 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2527))

Abstract

This paper presents a model based on pomsets (partially ordered multisets) for estimating the minimum number of setups in the workcells in Assembly Sequence Planning. This problem is focused through the minimization of the makespan (total assembly time) in a multirobot system. The planning model considers, apart from the durations and resources needed for the assembly tasks, the delays due to the setups in the workcells. An A* algorithm is used to meet the optimal solution. It uses the And/Or graph for the product to assemble, that corresponds to a compressed representation of all feasible assembly plans. Two basic admissible heuristic functions can be defined from relaxed models of the problem, considering the precedence constraints and the use of resources separately. The pomset-based model presented in this paper takes into account the precedence constraints in order to obtain a better estimation for the second heuristic function, so that the performance of the algorithm could be improved.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.H. Wilson, L. Kavraki, T. Lozano-Pérez and J.C. Latombe. Two-Handed Assembly Sequencing. Int. Jour. of Robotic Research. Vol. 14, pp. 335–350, 1995.

    Article  Google Scholar 

  2. L.S. Homem de Mello and A.C. Sanderson. A Correct and Complete Algorithm for the Generation of Mechanical Assembly Sequences. IEEE Trans. Robotic and Automation.Vol 7(2), 1991, pp. 228–240.

    Article  Google Scholar 

  3. T. L. Calton. Advancing design-for-assembly. The next generation in assembly planning. Proc. 1999 IEEE International Symposium on Assembly and Task Planning, pp. 57–62, Porto, Portugal, July 1999.

    Google Scholar 

  4. M. H. Goldwasser and R. Motwani. Complexity measures for assembly sequences. Int. Journal of Computational Geometry and Applications, 9:371–418, 1999.

    Article  MathSciNet  Google Scholar 

  5. C. Del Valle and E.F. Camacho. Automatic Assembly Task Assignment for a Multirobot Environment. Control Eng. Practice, Vol. 4, No. 7, 1996, pp. 915–921.

    Article  Google Scholar 

  6. L.S. Homem de Mello and A.C. Sanderson. And/Or Graph Representation of Assembly Plans. IEEE Trans. Rob. Automation. Vol. 6, No. 2, pp. 188–199, 1990.

    Article  Google Scholar 

  7. J. Pearl. Heuristics: Intelligent Search Strategies for Computer Problem Solving. Reading, MA, Addison-Wesley, 1984.

    Google Scholar 

  8. V.R. Pratt. Modeling Concurrency with Partial Orders. Int. Journal of Parallel Programming. Vol. 15, No. 1, pp. 33–71, Feb 1986.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Del Valle, C., Toro, M., Ceballos, R., Aguilar-Ruiz, J.S. (2002). A Pomset-Based Model for Estimating Workcells’ Setups in Assembly Sequence Planning. In: Garijo, F.J., Riquelme, J.C., Toro, M. (eds) Advances in Artificial Intelligence — IBERAMIA 2002. IBERAMIA 2002. Lecture Notes in Computer Science(), vol 2527. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36131-6_85

Download citation

  • DOI: https://doi.org/10.1007/3-540-36131-6_85

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00131-7

  • Online ISBN: 978-3-540-36131-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics