Skip to main content

A Free-Slack-Based Genetic Algorithm for the Robotic Cell Problem with Controllable Processing Times

  • Chapter
  • First Online:
Heuristics, Metaheuristics and Approximate Methods in Planning and Scheduling

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 236))

Abstract

We present a novel genetic algorithm for the Robotic Cell Problem with controllable processing times. This challenging problem arises in an automated production cell that consists of m consecutive machines as well as a material handling robot. The problem requires finding the operations processing times, job assignment, and robot movements. The objective is to minimize the makespan subject to a budget constraint. We describe a free-slack-based genetic algorithm for the linear resource consumption case. We present the results of a computational study and we provide evidence that the proposed algorithm consistently outperforms MIP-based heuristics from the literature.

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

Access this chapter

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 EPUB and 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
Hardcover Book
USD 109.99
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

Institutional subscriptions

References

  • Akturk MS, Ilhan T (2011) Single CNC machine scheduling with controllable processing times to minimize total weighted tardiness. Comput Oper Res 38(4):771–781

    Article  Google Scholar 

  • Al-Salem M, Kharbeche M, Khallouli W, Haouari M (2015) Mip-based heuristics for the robotic cell problem with controllable processing times. Technical Report, CENG/MIE, Qatar University

    Google Scholar 

  • Biskup D, Cheng TCE (1999) Single-machine scheduling with controllable processing times and earliness, tardiness and completion time penalties. Eng Optim 31(3):329–336

    Article  Google Scholar 

  • Carlier J, Haouari M, Kharbeche M, Aziz M (2010) An optimization-based heuristic for the robotic cell problem. Eur J Oper Res 202(3):636–645

    Article  Google Scholar 

  • Dawande MW, Geismar HN, Sethi SP, Chelliah S (2007) Throughput optimization in robotic cells, vol 101. Springer, New York

    Google Scholar 

  • Janiak A (1991) Single machine scheduling problem with a common deadline and resource dependent release dates. Eur J Oper Res 53(3):317–325

    Article  Google Scholar 

  • Kharbeche M, Carlier J, Haouari M, Aziz M (2011) Exact methods for the robotic cell problem. Flex Serv Manuf J 23(2):242–261

    Article  Google Scholar 

  • Koulamas C, Gupta S, Kyparisis GJ (2010) A unified analysis for the single-machine scheduling problem with controllable and non-controllable variable job processing times. Eur J Oper Res 205(2):479–482

    Article  Google Scholar 

  • Shabtay D, Steiner G (2007) A survey of scheduling with controllable processing times. Discret Appl Math 155(13):1643–1666

    Article  Google Scholar 

  • Wang J-B, Xia Z-Q (2007) Single machine scheduling problems with controllable processing times and total absolute differences penalties. Eur J Oper Res 177(1):638–645

    Article  Google Scholar 

  • Xu K, Feng Z, Keliang J (2010) A tabu-search algorithm for scheduling jobs with controllable processing times on a single machine to meet due-dates. Comput Oper Res 37(11):1924–1938

    Article  Google Scholar 

  • ZdrzaÅ‚ka S (1991) Scheduling jobs on a single machine with release dates, delivery times and controllable processing times: worst-case analysis. Oper Res Lett 10(9):519–523

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammed Al-Salem .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Al-Salem, M., Haouari, M., Kharbeche, M., Khallouli, W. (2016). A Free-Slack-Based Genetic Algorithm for the Robotic Cell Problem with Controllable Processing Times. In: Rabadi, G. (eds) Heuristics, Metaheuristics and Approximate Methods in Planning and Scheduling. International Series in Operations Research & Management Science, vol 236. Springer, Cham. https://doi.org/10.1007/978-3-319-26024-2_4

Download citation

Publish with us

Policies and ethics