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Travel time models for automated warehouses with aisle transferring storage and retrieval machine

Author

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  • Lerher, Tone
  • Potrc, Iztok
  • Sraml, Matjaz
  • Tollazzi, Tomaz

Abstract

This paper presents analytical travel time models for the computation of travel time for automated warehouses with the aisle transferring S/R machine (in continuation multi-aisle AS/RS). These models consider the operating characteristics of the storage and retrieval machine such as acceleration and deceleration and the maximum velocity. Assuming uniform distributed storage rack locations and pick aisles and using the probability theory, the expressions of the cumulative distribution functions with which the mean travel time is calculated, have been determined. The computational models enable the calculation of the mean travel time for the single and dual command cycles, from which the performance of multi-aisle AS/RS can be evaluated. A simulation model of multi-aisle AS/RS has been developed to compare the performances of the proposed analytical travel time models. The analyses show that regarding all examined types of multi-aisle AS/RS, the results of proposed analytical travel time models correlate with the results of simulation models of multi-aisle AS/RS.

Suggested Citation

  • Lerher, Tone & Potrc, Iztok & Sraml, Matjaz & Tollazzi, Tomaz, 2010. "Travel time models for automated warehouses with aisle transferring storage and retrieval machine," European Journal of Operational Research, Elsevier, vol. 205(3), pages 571-583, September.
    • Handle: RePEc:eee:ejores:v:205:y:2010:i:3:p:571-583
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    References listed on IDEAS

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    1. Gu, Jinxiang & Goetschalckx, Marc & McGinnis, Leon F., 2007. "Research on warehouse operation: A comprehensive review," European Journal of Operational Research, Elsevier, vol. 177(1), pages 1-21, February.
    2. Warren H. Hausman & Leroy B. Schwarz & Stephen C. Graves, 1976. "Optimal Storage Assignment in Automatic Warehousing Systems," Management Science, INFORMS, vol. 22(6), pages 629-638, February.
    3. Roodbergen, Kees Jan & Vis, Iris F.A., 2009. "A survey of literature on automated storage and retrieval systems," European Journal of Operational Research, Elsevier, vol. 194(2), pages 343-362, April.
    4. Stephen C. Graves & Warren H. Hausman & Leroy B. Schwarz, 1977. "Storage-Retrieval Interleaving in Automatic Warehousing Systems," Management Science, INFORMS, vol. 23(9), pages 935-945, May.
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    Citations

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    Cited by:

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    2. Vishwesh Singbal & Gajendra K. Adil & Rakesh Venkitasubramony, 2020. "Case Article—Forward-Reserve Storage Design: A Case of Carriage Repair Workshop, Indian Railways," INFORMS Transactions on Education, INFORMS, vol. 21(1), pages 30-34, September.
    3. 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.
    4. Hamzaoui, Mohammed A. & Arbaoui, Taha & Yalaoui, Farouk & Sari, Zaki, 2021. "An exact optimization method based on dominance properties for the design of AS/RSs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 146(C).
    5. Subir S. Rao & Gajendra K. Adil, 2017. "Analytical models for a new turnover-based hybrid storage policy in unit-load warehouses," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 327-346, January.
    6. 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.
    7. Mahroof, Kamran, 2019. "A human-centric perspective exploring the readiness towards smart warehousing: The case of a large retail distribution warehouse," International Journal of Information Management, Elsevier, vol. 45(C), pages 176-190.

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