Skip to main content
Log in

Simulation-based regression analysis for the replenishment strategy of the crane & shuttle-based storage and retrieval system

  • Published:
Cluster Computing Aims and scope Submit manuscript

Abstract

This research focuses on big experimental data analysis and the replenishment operation in a crane & shuttle based storage and retrieval system (C&SBS/RS). It is proposed that the order structure is expressed by three indicators: the order strength, the order size, and the order density. This aims to develop a regression function for the replenishment strategy to reveal the relationship between the order structure and replenishment parameters. The simulation model of the system is developed using FlexSim 7.1. A total of 13,440 combinations of order structures are provided as the simulation input. The statistical analyses are completed using the popular statistical software MINITAB. In this study, we use two different methods, best subset regression, and stepwise regression, to fit the regression function and find the best regression. According to the regression function, operation managers can develop better operation strategies.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Küçükyaşar, M., Ekren, Y.B., Lerher, T.: Cost and performance comparison for tier-captive and tier-to-tier SBS/RS warehouse configurations. Int. Trans. Oper. Res. 28(4), 1847–1863 (2020)

    Article  Google Scholar 

  2. Xu, X., Zhao, X., Zou, B., Gong, Y.Y., Wang, H.: Travel time models for a three-dimensional compact AS/RS considering different I/O point policies. Int. J. Prod. Res. 58(18), 5432–5455 (2020)

    Article  Google Scholar 

  3. Tappia, E., Roy, D., Melacini, M., De Koster, R.: Integrated storage-order picking systems: technology, performance models, and design insights. Eur. J. Oper. Res. 274(3), 947–965 (2019)

    Article  MathSciNet  Google Scholar 

  4. Azadeh, K., De Koster, R., Roya, D.: Robotized and automated warehouse systems: review and recent developments. Transport. Sci. 53(4), 917–945 (2019)

    Article  Google Scholar 

  5. Ekren, B.Y., Heragu, S.S.: Simulation-based regression analysis for the rack configuration of an autonomous vehicle storage and retrieval system. Int. J. Prod. Res. 48(21), 6257–6274 (2010)

    Article  Google Scholar 

  6. Heragu, B.Y.E.A.: Simulation based performance analysis of an autonomous vehicle storage and retrieval system. Simul. Model. Pract. Theory 7, 1640–1650 (2011)

    Google Scholar 

  7. Roy, D., Krishnamurthy, A., Heragu, S.S., Malmborg, C.J.: Performance analysis and design trade-offs in warehouses with autonomous vehicle technology. IIE Trans. 12, 1045–1060 (2012)

    Article  Google Scholar 

  8. Roy, D., Krishnamurthy, A., Heragu, S.S., Malmborg, C.J.: Blocking effects in warehouse systems with autonomous vehicles. IEEE Trans. Autom. Sci. Eng. 2, 439–451 (2014)

    Article  Google Scholar 

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

    Article  Google Scholar 

  10. Ekren, B.Y., Heragu, S.S., Krishnamurthy, A., Malmborg, C.J.: An approximate solution for semi-open queueing network model of an autonomous vehicle storage and retrieval system. IEEE Trans. Autom. Sci. Eng. 1, 205–215 (2013)

    Article  Google Scholar 

  11. Ekren, B.Y., Heragu, S.S., Krishnamurthy, A., Malmborg, C.J.: Matrix-geometric solution for semi-open queuing network model of autonomous vehicle storage and retrieval system. Comput. Ind. Eng. (2014). https://doi.org/10.1016/j.cie.2013.12.002

    Article  Google Scholar 

  12. Lerher, T., Ekren, B.Y., Dukic, G., Rosi, B.: Travel time model for shuttle-based storage and retrieval systems. Int. J. Adv. Manuf. Technol. 78(9–12), 1705–1725 (2015)

    Article  Google Scholar 

  13. Lerher, T.: Travel time model for double-deep shuttle-based storage and retrieval systems. Int. J. Prod. Res. 54(9), 2519–2540 (2016)

    Article  Google Scholar 

  14. Zou, B., Xu, X., Yale, Gong Y., De Koster, R.: Modeling parallel movement of lifts and vehicles in tier-captive vehicle-based warehousing systems. Eur. J. Oper. Res. 254(1), 51–67 (2016)

    Article  MathSciNet  Google Scholar 

  15. Ning, Z., Lei, L., Saipeng, Z., Lodewijks, G.: An efficient simulation model for rack design in multi-elevator shuttle-based storage and retrieval system. Simul. Model. Pract. Theory 67, 100–116 (2016)

    Article  Google Scholar 

  16. Borovinšek, M., Ekren, B.Y., Burinskienė, A., Lerher, T.: Multi-objective optimisation model of shuttle-based storage and retrieval system. Transport. 32(2), 120–137 (2017)

    Article  Google Scholar 

  17. Ekren, B.Y., Akpunar, A., Sari, Z., Lerher, T.: A tool for time, variance and energy related performance estimations in a shuttle-based storage and retrieval system. Appl. Math. Model. 63, 109–127 (2018)

    Article  MathSciNet  Google Scholar 

  18. Ekren, B.Y.: A simulation-based experimental design for SBS/RS warehouse design by considering energy related performance metrics. Simul. Model. Pract. Theory 98, 101991 (2020)

    Article  Google Scholar 

  19. Ha, Y., Chae, J.: Free balancing for a shuttle-based storage and retrieval system. Simul. Model. Pract. Theory 82, 12–31 (2018)

    Article  Google Scholar 

  20. Wu, G., Zou, B., Xu, X.: Shuttle-based operating policies for multiple-lift compact automated parking systems based on queuing networks. Clust. Comput. 22, 6449 (2019)

    Article  Google Scholar 

  21. Yu, X., Liao, X., Li, W., Liu, X., Tao, Z.: Logistics automation control based on machine learning algorithm. Clust. Comput. 22, 4003 (2019)

    Google Scholar 

  22. Xu, X., Zhao, X., Zou, B., Li, M.: Optimal dimensions for multi-deep storage systems under class-based storage policies. Clust. Comput. 3, 861–875 (2019)

    Article  Google Scholar 

  23. Lamballais, T., Roy, D., De Koster, R.E.: Inventory allocation in robotic mobile fulfillment systems. IISE Trans. 1, 1–17 (2020)

    Article  Google Scholar 

  24. Eder, M.: Analytical model to estimate the performance of shuttle-based storage and retrieval systems with class-based storage policy. Int. J. Adv. Manuf. Technol. 107(5–6), 2091–2106 (2020)

    Article  Google Scholar 

  25. Lee, I.G., Chung, S.H., Yoon, S.W.: Two-stage storage assignment to minimize travel time and congestion for warehouse order picking operations. Comput. Ind. Eng. 139, 106129 (2020)

    Article  Google Scholar 

  26. Gagliardi, J.P., Ruiz, A., Renaud, J.: Space allocation and stock replenishment synchronization in a distribution center. Int. J. Prod. Econom. 115(1), 19–27 (2008)

    Article  Google Scholar 

  27. De Vries, H., Carrasco-Gallego, R., Farenhorst-Yuan, T., Dekker, R.: Prioritizing replenishments of the piece picking area. Eur. J. Oper. Res. 236(1), 126–134 (2014)

    Article  MathSciNet  Google Scholar 

  28. Jiang, M., Leung, K.H., et al.: Picking-replenishment synchronization for robotic forward–reserve warehouses. Transport. Res. E Logist. Transport. Rev. 144, 102138 (2020)

    Article  Google Scholar 

  29. Shen, C., Wu, Y., Zhou, C.: Selecting between sequential zoning and simultaneous zoning for picker-to-parts order picking system based on order cluster and genetic algorithm. Chin. J. Mech. Eng. 24(5), 820–828 (2011)

    Article  Google Scholar 

Download references

Funding

This research was supported by the Natural Science Foundation of Shandong Province (No. ZR2020MF085)

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yaohua Wu.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Appendix

Appendix

When the replenishment transaction arrives, CBS/RS processes the pallet outbound and pallet inbound, while SBS/RS processes the empty tote outbound and tote inbound. The flowchart is shown in Figs. 5, 6, 7 and 8.

Fig. 5
figure 5

Pallet outbound in the CBS/RS

Fig. 6
figure 6

Pallet inbound in the CBS/RS

Fig. 7
figure 7

Empty tote outbound in the SBS/RS

Fig. 8
figure 8

Empty tote inbound in the SBS/RS

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ma, W., Hu, J., Wang, Y. et al. Simulation-based regression analysis for the replenishment strategy of the crane & shuttle-based storage and retrieval system. Cluster Comput 25, 77–89 (2022). https://doi.org/10.1007/s10586-021-03372-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10586-021-03372-7

Keywords

Navigation