Capacity Analysis of Sequential Zone Picking Systems

References

• Adan IJBF, Van der Wal J (2011) Mean values techniques. Boucherie R, van Dijk N, eds. Queueing Networks: A Fundamental Approach (Springer, New York), 561–586.Crossref, Google Scholar
• Balsamo S, De Nitto Personé V, Onvural R (2001) Analysis of Queueing Networks with Blocking (Springer, Boston).Crossref, Google Scholar
• Baskett F, Chandy K, Muntz R, Palacios F (1975) Open, closed, and mixed networks of queues with different classes of customers. J. ACM 22(2):248–260.Crossref, Google Scholar
• Baynat B, Dallery Y (1993) A unified view of product-form approximation techniques for general closed queueing networks. Performance Evaluation 18(3):205–224.Crossref, Google Scholar
• Bolch G, Greiner S, de Meer H, Trivedi KS (2006) Queueing Networks and Markov Chains: Modeling and Performance Evaluation with Computer Science Applications, 2nd ed. (Wiley-Interscience, Hoboken, NJ).Crossref, Google Scholar
• Boucherie RJ (1998) Norton’s equivalent for queueing networks comprised of quasireversible components linked by state-dependent routing. Performance Evaluation 32(2):83–99.Crossref, Google Scholar
• Chandy KM, Sauer CH (1980) Computational algorithms for product form queueing networks. Comm. ACM 23(10):573–583.Crossref, Google Scholar
• Chandy KM, Herzog U, Woo L (1975) Parametric analysis of queuing networks. IBM J. Res. Development 19(1):36–42.Crossref, Google Scholar
• Chao X, Miyazawa M (2000) Queueing networks with instantaneous movements: A unified approach by quasi-reversibility. Adv. Appl. Probab. 32(1):284–313.Crossref, Google Scholar
• De Koster M (1994) Performance approximation of pick-to-belt orderpicking systems. Eur. J. Oper. Res. 72(3):558–573.Crossref, Google Scholar
• De Koster M, Le-Duc T, Roodbergen KJ (2007) Design and control of warehouse order picking: A literature review. Eur. J. Oper. Res. 182(2):481–501.Crossref, Google Scholar
• Drury J (1988) Toward more efficient order picking. Technical Report 1, The Institute of Materials Management, Cranfield, UK.Google Scholar
• Economou A, Fakinos D (1998) Product form stationary distributions for queueing networks with blocking and rerouting. Queueing Systems 30(3):251–260.Crossref, Google Scholar
• 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.Crossref, Google Scholar
• Henderson W, Taylor PG (2001) State-dependent coupling of quasireversible nodes. Queueing Systems 37(1):163–197.Crossref, Google Scholar
• Hsieh YJ, Bozer YA (2005) Analytical modeling of closed-loop conveyors with load recirculation. Computational Science and Its Applications - ICCSA 2005, Lecture Notes in Computer Science, vol. 3483 (Springer, Berlin), 437–447.Google Scholar
• Jia J, Heragu S (2009) Solving semi-open queuing networks. Oper. Res. 57(2):391–401.Link, Google Scholar
• Kelly FP (1979) Reversibility and Stochastic Networks, 1st ed. (Wiley, Chichester, UK).Google Scholar
• Le-Duc T, De Koster RMBM (2007) Travel time estimation and order batching in a 2-block warehouse. Eur. J. Oper. Res. 176(1):374–388.Crossref, Google Scholar
• Melacini M, Perotti S, Tumino A (2010) Development of a framework for pick-and-pass order picking system design. Internat. J. Adv. Manufacturing Tech. 53(9):841–854.Google Scholar
• Osorio C, Bierlaire M (2009) An analytic finite capacity queueing network model capturing the propagation of congestion and blocking. Eur. J. Oper. Res. 196(3):996–1007.Crossref, Google Scholar
• Papadopoulos HT, Heavey C, Browne J (1993) Queueing Theory in Manufacturing Systems Analysis and Design (Chapman and Hall, London).Google Scholar
• Park BC (2012) Order picking: Issues, systems and models. Manzini R, ed. Warehousing in the Global Supply Chain: Advanced Models, Tools and Applications for Storage Systems, 1st ed. (Springer-Verlag, London), 1–30.Google Scholar
• Perros HG (1994) Queueing Networks with Blocking (Oxford University Press, Inc., New York).Google Scholar
• Petersen CG (2000) An evaluation of order picking policies for mail order companies. Production Oper. Management 9(4):319–335.Google Scholar
• Petersen CG (2002) Considerations in order picking zone configuration. Internat. J. Oper. Production Management 22(7):793–805.Crossref, Google Scholar
• Pittel B (1979) Closed exponential networks of queues with saturation: The Jackson-type stationary distribution and its asymptotic analysis. Math. Oper. Res. 4(4):357–378.Link, Google Scholar
• Reiser M (1981) Mean-value analysis and convolution method for queue-dependent servers in closed queueing networks. Performance Evaluation 1(1):7–18.Crossref, Google Scholar
• Reiser M, Lavenberg SS (1980) Mean-value analysis of closed multichain queuing networks. J. ACM 27(2):313–322.Crossref, Google Scholar
• Schassberger R (1984) Decomposable stochastic networks: Some observations. Model. Performance Evaluation Methodology 60:135–150.Crossref, Google Scholar
• Schmidt LC, Jackman J (2000) Modeling recirculating conveyors with blocking. Eur. J. Oper. Res. 124(2):422–436.Crossref, Google Scholar
• Stidham S Jr (2002) Analysis, design, and control of queueing systems. Oper. Res. 50(1):197–216.Link, Google Scholar
• van der Gaast JP, Adan IJBF, De Koster MBM (2018) Conveyor merges in zone picking systems: A tractable and accurate approximate model. Transportation Sci. 52(6):1428–1443.Link, Google Scholar
• Van Dijk NM (1988) On Jackson’s product form with ”jump-over” blocking. Oper. Res. Lett. 7(5):233–235.Crossref, Google Scholar
• Vanderlande (2007) Zone picking met VISION.ZPS. Product brochure, Vanderlande, Veghel, Netherlands.Google Scholar
• Walrand J (1983) A note on Norton’s theorem for queuing networks. J. Appl. Probab. 20(2):442–444.Crossref, Google Scholar
• Whitt W (1982) Approximating a point process by a renewal process I: Two basic methods. Oper. Res. 30(1):125–147.Link, Google Scholar
• Wolff RW (1989) Stochastic Modeling and the Theory of Queues, 1st ed. (Prentice Hall, London).Google Scholar
• Yao DD, Buzacott JA (1987) Modeling a class of flexible manufacturing systems with reversible routing. Oper. Res. 35(1):87–93.Link, Google Scholar
• Yu M, De Koster R (2008) Performance approximation and design of pick-and-pass order picking systems. IIE Trans. 40(11):1054–1069.Crossref, Google Scholar
• Yu M, De Koster R (2009) The impact of order batching and picking area zoning on order picking system performance. Eur. J. Oper. Res. 198(2):480–490.Crossref, Google Scholar