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Variance-based approximations of transaction waiting times in autonomous vehicle storage and retrieval systems

Author

Listed:
  • Li Zhang
  • Ananth Krishnamurthy
  • Charles J. Malmborg
  • Sunderesh S. Heragu

Abstract

Approximation strategies for transaction waiting times are proposed for use in Autonomous Vehicle Storage and Retrieval Systems (AVS/RSs) with non-Poisson arrival rates and non-exponential service times. The proposed modelling tools dynamically adjust approximations based on the variance of the transaction inter-arrival times observed in a system. Simulation-based validation studies indicate that this strategy can reduce the magnitude of errors in estimated transaction waiting times by approximately 80% relative to static approximations. The design conceptualisation applications of the proposed technique are demonstrated over a series of realistically sized demonstration problems. [Received 8 April 2008; Revised 20 July 2008; Accepted 2 August 2008]

Suggested Citation

  • Li Zhang & Ananth Krishnamurthy & Charles J. Malmborg & Sunderesh S. Heragu, 2009. "Variance-based approximations of transaction waiting times in autonomous vehicle storage and retrieval systems," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 3(2), pages 146-169.
    • Handle: RePEc:ids:eujine:v:3:y:2009:i:2:p:146-169
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    Citations

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    Cited by:

    1. Roy, Debjit & Krishnamurthy, Ananth & Heragu, Sunderesh & Malmborg, Charles, 2015. "Queuing models to analyze dwell-point and cross-aisle location in autonomous vehicle-based warehouse systems," European Journal of Operational Research, Elsevier, vol. 242(1), pages 72-87.
    2. Liu, Tian & Gong, Yeming & De Koster, René B.M., 2018. "Travel time models for split-platform automated storage and retrieval systems," International Journal of Production Economics, Elsevier, vol. 197(C), pages 197-214.
    3. Martin Epp & Simon Wiedemann & Kai Furmans, 2017. "A discrete-time queueing network approach to performance evaluation of autonomous vehicle storage and retrieval systems," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 960-978, February.
    4. Bipan Zou & Xianhao Xu & Yeming Gong & René de Koster, 2016. "Modeling parallel movement of lifts and vehicles in tier-captive vehicle-based warehousing systems," Post-Print hal-01892897, HAL.
    5. Bipan Zou & Yeming (Yale) Gong & Xianhao Xu & Zhe Yuan, 2017. "Assignment rules in robotic mobile fulfilment systems for online retailers," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 6175-6192, October.
    6. Elena Tappia & Debjit Roy & René de Koster & Marco Melacini, 2017. "Modeling, Analysis, and Design Insights for Shuttle-Based Compact Storage Systems," Transportation Science, INFORMS, vol. 51(1), pages 269-295, February.
    7. Debjit Roy & Ananth Krishnamurthy & Sunderesh Heragu & Charles Malmborg, 2015. "Stochastic models for unit-load operations in warehouse systems with autonomous vehicles," Annals of Operations Research, Springer, vol. 231(1), pages 129-155, August.
    8. Azadeh, K. & de Koster, M.B.M. & Roy, D., 2017. "Robotized Warehouse Systems: Developments and Research Opportunities," ERIM Report Series Research in Management ERS-2017-009-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    9. Riccardo Manzini & Riccardo Accorsi & Giulia Baruffaldi & Teresa Cennerazzo & Mauro Gamberi, 2016. "Travel time models for deep-lane unit-load autonomous vehicle storage and retrieval system (AVS/RS)," International Journal of Production Research, Taylor & Francis Journals, vol. 54(14), pages 4286-4304, July.
    10. Kaveh Azadeh & René De Koster & Debjit Roy, 2019. "Robotized and Automated Warehouse Systems: Review and Recent Developments," Transportation Science, INFORMS, vol. 53(4), pages 917-945, July.
    11. Kaveh Azadeh & Debjit Roy & René De Koster, 2019. "Design, Modeling, and Analysis of Vertical Robotic Storage and Retrieval Systems," Transportation Science, INFORMS, vol. 53(5), pages 1213-1234, September.
    12. Azadeh, K. & Roy, D. & de Koster, M.B.M., 2016. "Vertical or Horizontal Transport? - Comparison of robotic storage and retrieval systems," ERIM Report Series Research in Management ERS-2016-009-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    13. Tappia, E. & Roy, D. & de Koster, M.B.M. & Melacini, M., 2015. "Modeling, Analysis, and Design Insights for Shuttle-based Compact Storage Systems," ERIM Report Series Research in Management ERS-2015-010-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.

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