Skip to main content
SpringerLink
Log in

Travel time model for shuttle-based storage and retrieval systems

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

This paper presents analytical travel time model for the computation of travel (cycle) time for shuttle-based storage and retrieval systems (in continuation SBS/RS). The proposed model considers the operating characteristics of the elevators lifting table and the shuttle carrier, such as acceleration and deceleration and the maximum velocity. Assuming uniform distributed storage rack locations and using the probability theory, the expressions of the cumulative distribution functions with which the mean travel time is calculated, have been determined. The proposed model enables the calculation of the mean travel (cycle) time for the single and dual command cycles, from which the performance of SBS/RS can be evaluated. The approximation model and a simulation model of SBS/RS have been used to compare the performances of the proposed analytical travel time model. The analysis shows that regarding all examined types of SBS/RS, the results of proposed analytical travel time model for SBS/RS correlate with the results of simulation models of SBS/RS.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bozer AY, White AJ (1984) Travel-time models for automated storage and retrieval systems, IIE Transactions 16(4):329–338

  2. Carlo HJ, Vis IFA (2012) Sequencing dynamic storage systems with multiple lifts and shuttles. Int J Prod Econ 140:844–853

    Article  Google Scholar 

  3. Ekren BY (2011) Performance evaluation AVS/RS under various design scenarios: a case study. Int J Adv Manuf Technol 55:1253–1261

    Article  Google Scholar 

  4. Ekren BY, Heragu SS (2010) Approximate analysis of load dependent general queuing networks with low service time variability. Eur J Oper Res 205:381–389

    Article  MATH  Google Scholar 

  5. Ekren BY, Heragu SS, Krishnamurthy A, Malmborg CJ (2010) Simulation based experimental design to identify factors affecting performance of AVS/RS. Comput Ind Eng 58:175–185

    Article  Google Scholar 

  6. Ekren BY, Heragu SS, Krishnamurthy A, Malmborg CJ (2013) An approximate solution for semi-open queuing network model of autonomous vehicle storage and retrieval system. IEEE Trans Autom Sci Eng 10:205–215

    Article  Google Scholar 

  7. Ekren BY, Heragu SS, Krishnamurthy A, Malmborg CJ (2014) Matrix-geometric solution for semi-open queuing network model of autonomous vehicle storage and retrieval system. Comput Ind Eng 68:78–86

    Article  Google Scholar 

  8. Ekren BY, Heragu SS (2010) Simulation based regression analysis for the rack configuration of autonomous vehicle storage and retrieval system. Int J Prod Res 48(21):6257–6274

    Article  Google Scholar 

  9. Ekren BY, Heragu SS (2011) Simulation based performance analysis of an autonomous vehicle storage and retrieval system. Simul Model Pract Theory 19:1640–1650

    Article  Google Scholar 

  10. Fukunari M, Malmborg CJ (2008) An efficient cycle time model for autonomous vehicle storage and retrieval systems. Int J Prod Res 46(12):3167–3184

    Article  MATH  Google Scholar 

  11. Fukunari M, Malmborg CJ (2009) A network queuing approach for evaluation of performance measures in autonomous vehicle storage and retrieval systems. Eur J Oper Res 193(1):152–167

    Article  MATH  Google Scholar 

  12. Kuo PH, Krishnamurthy A, Malmborg CJ (2007) Design models for unit load storage and retrieval systems using autonomous vehicle technology and resource conserving storage and dwell point policies. Appl Math Model 31(10):2332–2346

    Article  MATH  Google Scholar 

  13. Kuo PH, Krishnamurthy A, Malmborg CJ (2008) Performance modelling of autonomous vehicle storage and retrieval systems using class-based storage policies. Int J Comput Appl Technol 31(3–4):238–248

    Article  Google Scholar 

  14. Lerher T, Šraml M, Borovinšek M, Potrč I (2013) Multi-objective optimization of automated storage and retrieval systems. Ann Fac Eng Hunedoara 11:187–194

    Google Scholar 

  15. Lerher T, Borovinšek M, Sraml M (2013) A multi objective model for optimization of automated warehouses. V. In: Cheung J, Song H (eds) Logistics: perspectives, approaches and challenges. Nova Publishers, New York, pp 87–110

    Google Scholar 

  16. Lerher T, Edl M, Rosi B (2013) Energy efficiency model for the mini-load automated storage and retrieval systems. Int J Adv Manuf Technol 68:97–115

    Google Scholar 

  17. Lerher T, Šraml M, Kramberger J, Potrč I, Borovinšek M, Zmazek B (2005) Analytical travel time models for multi aisle automated storage and retrieval systems. Int J Adv Manuf Technol 30(3–4):340–356

    Google Scholar 

  18. Lerher T, Potrč I, Šraml M, Tollazzi T (2010) Travel time models for automated warehouses with aisle transferring storage and retrieval machine. Eur J Oper Res 205(3):571–583

    Article  MATH  Google Scholar 

  19. Lerher T (2013) Modern automation in warehousing by using the shuttle based technology. V. In: Freebush M (ed) Automation systems of the 21st century: new technologies, applications and impacts on the environment & industrial processes. Nova Publishers, New York, pp 51–86

    Google Scholar 

  20. Malmborg CJ (2002) Conceptualizing tools for autonomous vehicle storage and retrieval systems. Int J Prod Res 40(8):1807–1822

    Article  MATH  Google Scholar 

  21. Malmborg CJ (2003) Interleaving rule dynamics in autonomous vehicle storage and retrieval systems. Int J Prod Res 41(5):1057–1069

    Article  MATH  Google Scholar 

  22. Marchet G, Melacini M, Perotti S, Tappia E (2013) Development of a framework for the design of autonomous vehicle storage and retrieval systems. Int J Prod Res 51(14):4365–4387

    Article  Google Scholar 

  23. Oser J, Reisinger K (2008) Cycle time and drive optimization of a high performance transfer car. Progress in material handling research. The Material Handling Industry of America, Charlotte, North Carolina, USA, pp 446–457

  24. Roy D, Heragu SS, Krishnamurthy A, Malmborg CJ (2012) Performance analysis and design trade-offs in warehouses with autonomous vehicle technology. IIE Trans 44(12):1045–1060

    Article  Google Scholar 

  25. Sari Z, Ghomri L, Ekren BY, Lerher T (2014) Experimental validation of travel time models for shuttle-based automated storage and retrieval system. International Material Handling Research Colloquium 23–27, Vol. 1, 1–20

  26. Zhang L, Krishnamurthy A, Malmborg CJ, Heragu SS (2009) Variance-based approximations of transaction waiting times in autonomous vehicle storage and retrieval systems. Eur J Ind Eng 3(2):146–168

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Logistics, University of Maribor, Mariborska c. 7, SI, 3000, Celje, Slovenia

    Tone Lerher & Bojan Rosi

  2. Department of Industrial Engineering, Izmir University of Economics, Sakarya Caddesi, 156, Balçova, Izmir, 35330, Turkey

    Banu Y. Ekren

  3. Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lucica 5, 10002, Zagreb, Croatia

    Goran Dukic

Authors
  1. Tone Lerher
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Banu Y. Ekren
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Goran Dukic
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Bojan Rosi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tone Lerher.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lerher, T., Ekren, B.Y., Dukic, G. et al. Travel time model for shuttle-based storage and retrieval systems. Int J Adv Manuf Technol 78, 1705–1725 (2015). https://doi.org/10.1007/s00170-014-6726-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-014-6726-2

Keywords

Search

Navigation