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Optimal design of AS/RS storage systems with three-class-based assignment strategy under single and dual command operations

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Abstract

This paper presents an extension of the analytical models already proposed by the literature to compute the expected travel time of automated storage and retrieval systems (AS/RS) in three-class-based storage (3-CBS) rectangular-in-time (RIT) storage systems. The authors determined the analytical closed form of the mean travel time for both the single-command (SC) and the dual-command (DC) cycles varying the warehouse shape factor and the ABC turnover curve. The performances obtained by the adoption of the proposed analytical travel time model under different configurations of the warehousing system, i.e., shape, dimension of the classes, and ABC curve, are evaluated and compared. Finally, the optimal boundary limits for the 3-CBS AS/RS, considering both the SC and the DC cycles, are fixed presenting the percentage saving of such configurations toward the common random assignment policy.

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References

  1. Rouwenhorst B, Reuter B, Stockrahm V, van Houtum GJ, Mantel RJ, Zijm WHM (2010) Warehouse design and control: framework and literature review. Eur J Oper Res 122(3):515–533

    Article  Google Scholar 

  2. Accorsi R, Manzini R, Maranesi F (2014) A decision-support system for the design and management of warehousing systems. Comput Ind 65(1):175–186

    Article  Google Scholar 

  3. Gu J, Goetschalckx M, McGinnis LF (2010) Research on warehouse design and performance evaluation: a comprehensive review. Eur J Oper Res 203(3):539–549

    Article  MATH  Google Scholar 

  4. Sarker BR, Babu PS (1995) Travel time models in automated storage/retrieval systems: a critical review. Int J Prod Econ 40(2–3):173–184

    Article  Google Scholar 

  5. Roodbergen KJ, Vis I (2009) A survey of literature on automated storage and retrieval systems. Eur J Oper Res 194(2):343–362

    Article  MATH  Google Scholar 

  6. Hausman WH, Schwarz LB, Graves SC (1976) Optimal storage assignment in automatic warehousing systems. Manag Sci 22(6):629–638

    Article  MATH  Google Scholar 

  7. Graves SC, Hausman WH, Schwarz LB (1977) Storage-retrieval interleaving in automatic warehousing systems. Manag Sci 23(9):935–945

    Article  MATH  Google Scholar 

  8. Schwarz LB, Graves SC, Hausman WH (1978) Scheduling policies for automatic warehousing systems: simulation results. IIE Trans 10(3):260–270

    Google Scholar 

  9. Bozer YA, White JA (1984) Travel-time models for automated storage/retrieval systems. IIE Trans 16(4):329–338

    Article  Google Scholar 

  10. Rosenblatt MJ, Eynan A (1989) Deriving the optimal boundaries for class-based automatic storage/retrieval systems. Manag Sci 35(12):1519–1524

    Article  Google Scholar 

  11. Eynan A, Rosenblatt MJ (1994) Establishing zones in single command class-based rectangular AS/RS. IIE Trans 26(1):3–46

    Article  Google Scholar 

  12. Kim J, Seidmann A (1990) A framework for the exact evaluation of expected cycle times in automated storage systems with full-turnover allocation and random service requests. Comput Ind Eng 18(4):601–612

    Article  Google Scholar 

  13. Kouvelis P, Papanicolaaou V (1995) Expected travel time and optimal boundary formulas for a two-class-based automated storage/retrieval system. Int J Prod Res 33(10):2889–2905

    Article  MATH  Google Scholar 

  14. Pan CH, Wang CH (1996) A framework for the dual command cycle travel time model in automated warehousing systems. Int J Prod Res 34(8):2099–2117

    Article  MathSciNet  MATH  Google Scholar 

  15. Hwang H, Lee SB (1990) Travel-time models considering the operating characteristic of the storage/retrieval machine. Int J Prod Res 28(10):1779–1789

    Article  Google Scholar 

  16. Chang DT, Wen UP, Lin JT (1995) The impact of acceleration/deceleration on travel time models for automated storage/retrieval systems. IIE Trans 27(1):108–111

    Article  Google Scholar 

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

    Article  Google Scholar 

  18. Lerher T, Potrc I, Sraml 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. Chang DT, Wen UP (1997) The impact of rack configuration on the speed profile of the storage and retrieval machine. IIE Trans 29(7):525–531

    Google Scholar 

  20. Lee HF (1997) Performance analysis for automated storage/retrieval systems. IIE Trans 29(1):15–28

    Article  Google Scholar 

  21. Thonemann UW, Brandeau ML (1998) Optimal storage assignment policies for automated storage and retrieval systems with stochastic demands. Manag Sci 44(1):142–148

    Article  MATH  Google Scholar 

  22. Han M, McGinnis LF, Shieh JS, White JA (1987) On sequencing retrievals in an automated storage/retrieval system. IIE Trans 19(1):56–66

    Article  Google Scholar 

  23. Eben-Chaime M (1992) Operations sequencing in automated warehousing systems. Int J Prod Res 30(9):2401–2409

    Article  Google Scholar 

  24. Eynan A, Rosenblatt MJ (1993) An interleaving policy in automated storage/retrieval systems. Int J Prod Res 31(1):1–18

    Article  Google Scholar 

  25. Lee HF, Schaefer SK (1996) Retrieval sequencing for unit load automated storage and retrieval systems with multiple openings. Int J Prod Res 34(10):2943–2962

    Article  MATH  Google Scholar 

  26. Lee HF, Schaefer SK (1997) Sequencing methods for automated storage and retrieval systems with dedicated storage. Comput Ind Eng 32(2):351–362

    Article  Google Scholar 

  27. Mahajan S, Rao BV, Peters BA (1998) A retrieval sequencing heuristic for miniload end-of-aisle automated storage/retrieval systems. Int J Prod Res 36(6):1715–1731

    Article  MATH  Google Scholar 

  28. Eben-Chaime M, Pliskin N (1997) Operations management of multiple machine automatic warehousing systems. Int J Prod Econ 51(1–2):83–98

    Article  Google Scholar 

  29. Foley RD, Frazelle EH (1991) Analytical results for miniload throughput and the distribution of dual command travel time. IIE Trans 23(3):273–281

    Article  Google Scholar 

  30. Park BC, Frazelle EH, White JA (1999) Buffer sizing models for end-of-aisle order picking systems. IIE Trans 31(1):31–38

    Google Scholar 

  31. Park BC, Foley RD, Frazelle EH (1999) Dual command travel time distribution and performance of miniload systems with 2-class storage. Department of Industrial Engineering, Keimyung University, Taegu, Working paper

    Google Scholar 

  32. Bozer YA, White JA (1990) Design and performance models for end-of-aisle order picking systems. Manag Sci 36(7):852–866

    Article  Google Scholar 

  33. Van den Berg JP, Zijm WHM (1999) Models for warehouse management: classification and examples. Int J Prod Econ 59(1):519–528

    Article  Google Scholar 

  34. Van den Berg JP (2002) Analytic expressions for the optimal dwell point in an automated storage/retrieval system. Int J Prod Econ 76(1):13–25

    Article  Google Scholar 

  35. Park BC, Foley RD, White JA, Frazelle EH (2003) Dual command travel times and miniload system throughput with turnover-based storage. IIE Trans 35(4):343–355

    Article  Google Scholar 

  36. Park BC (2006) Performance of automated storage/retrieval systems with non-square-in-time racks and two-class storage. Int J Prod Res 44(6):1107–1123

    Article  Google Scholar 

  37. Koh SG, Kwon H, Kim YJ (2005) An analysis of the end-of-aisle order picking system: multi-aisle served by a single order picker. Int J Prod Econ 98(2):162–171

    Article  Google Scholar 

  38. Lee YH, Lee MH, Hur S (2005) Optimal design of rack structure with modular cell in AS/RS. Int J Prod Econ 98(2):172–178

    Article  Google Scholar 

  39. Manzini R, Gamberi M, Regattieri A (2006) Design and control of an AS/RS. Int J Adv Manuf Technol 28(7–8):766–774

    Article  Google Scholar 

  40. Manzini R, Gamberi M, Persona A, Regattieri A (2007) Design of a class based storage picker to product order picking system. Int J Adv Manuf Technol 32(7–8):811–821

    Article  Google Scholar 

  41. Regattieri A, Gamberi M, Manzini R, Persona A (2008) Monte Carlo approach for performance evaluation in automatic storage and retrieval systems. J Ent Res Manag 26:1–19

    Google Scholar 

  42. Mohammadreza V, Tang SH, Seyed MH, Napsiah I (2008) A statistical model for expected cycle time of SP-AS/RS: an application of Monte Carlo simulation. Appl Artif Intell 22:824–840

    Article  Google Scholar 

  43. Lerher T, Sraml M, Potrc I (2011) Simulation analysis of mini-load multi shuttle automated storage and retrieval systems. Int J Adv Manuf Technol 54:337–348

    Article  Google Scholar 

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Correspondence to Mauro Gamberi.

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Bortolini, M., Accorsi, R., Gamberi, M. et al. Optimal design of AS/RS storage systems with three-class-based assignment strategy under single and dual command operations. Int J Adv Manuf Technol 79, 1747–1759 (2015). https://doi.org/10.1007/s00170-015-6872-1

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  • DOI: https://doi.org/10.1007/s00170-015-6872-1

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