Yeni bir depo tasarım problemi ve polinomsal zamanlı optimal sipariş toplama algoritması önerisi

Yıl 2018, , 1569 - 1588, 19.12.2018

Ömer Öztürkoğlu , Deniz Hoşer

https://doi.org/10.17341/gazimmfd.416453

Cited By: 2

Öz

Bu çalışmada, depolardaki ana koridorların yerleşim düzeni ile ilgili olarak yeni bir tasarım problemi tanımlanmıştır. Bu problemde, depolarda sıklıkla kullanılan doğrusal düz orta ana koridor kesikli olarak, örneğin mal toplama koridorları üzerindeki tüneller olarak tanımlanmıştır. Böylece, depolarda en maliyetli ve sipariş teslim süresini en çok etkileyen işlemlerden birisi olan sipariş toplama işlemini daha etkin hale getirebilmek için tünellerin nerelere konumlandırılacağı problemi ortaya atılmıştır. Ayrıca, bu yeni tasarım probleminde sipariş toplama rota uzunluğunu optimal olarak hesaplayabilmek için polinomsal zamanda dinamik programlama esaslı yeni bir algoritma geliştirilmiştir. Geliştirilen bu algoritma ile büyük sayıdaki siparişler için bile çok kısa sürede sonuçlar alınmıştır. Geliştirilen algoritmanın performansı literatürde gezgin satıcı probleminin çözümünde kullanılan Held-Karp dal-sınır algoritması ile karşılaştırılmıştır. Son olarak, örnek bir problem çözülmüş ve algoritmanın uygulanması anlatılmıştır.

Anahtar Kelimeler

Depo tasarımı, sipariş toplama rota uzunluğu

Kaynakça

• Hsu C. M., Chen K. Y., Chen M. C., Batching orders in warehouses by minimizing travel distance with genetic algorithms, Computers in Industry, 56(2), 169-178, 2005.
• Drury J., Towards More Efficient Order Picking, IMM Monograph No. 1, Report, The Institute of Materials Management, Cranfield, U.K., 1988.
• Bartholdi J.J., Hackman S.T., Warehouse and Distribution Science, Release: 0.95, Supply Chain and Logistics Institute, Georgia Institute of Technology, Atlanta, USA, 25, 2011.
• Tompkins J. A., White J. A., Bozer Y. A., Tanchoco J. M. A., Facilities Planning, John Wiley and Sons, 2010.
• Hall R.W., Distance approximations for routing manual pickers in a warehouse, IIE transactions, 25(4), 76-87, 1993.
• Petersen C.G., An evaluation of order picking routeing policies, International Journal of Operations & Production Management, 17(11), 1098-1111, 1997.
• Roodbergen K.J., Koster R., Routing methods for warehouses with multiple cross aisles, International Journal of Production Research, 39(9), 1865-1883, 2001.
• Petersen C.G., The impact of routing and storage policies on warehouse efficiency, International Journal of Operations & Production Management, 19(10), 1053-1064, 1999.
• Petersen C.G., Schmenner R.W., An Evaluation of Routing and Volume‐based Storage Policies in an Order Picking Operation, Decision Sciences, 30(2), 481-501, 1999.
• Petersen C.G., Aase G., A comparison of picking, storage, and routing policies in manual order picking, International Journal of Production Economics, 92(1), 11-19, 2004.
• Petersen C.G., Considerations in order picking zone configuration, International Journal of Operations & Production Management, 22(7), 793-805, 2002.
• Kunder R., Gudehus T., Mittlere Wegzeiten beim eindimensionalen Kommissionaren, Zeitschrift fur Operazions Research, 19:B3-B72, 1975.
• Roodbergen K.J., Vis I.F., A model for warehouse layout, IIE Transactions, 38(10), 799-811, 2006.
• Le-Duc T., De Koster R., Travel Distance Estimation in Single-Block ABC-Storage Strategy Warehouses, Distribution Logistics, 185-200, 2005.
• Caron F., Marchet G., Perego A., Routing policies and COI-based storage policies in picker-to-part systems, International Journal of Production Research, 36(3), 713-732, 1998.
• Hwang H., Oh Y.H., Lee, Y.K., An evaluation of routing policies for order-picking operations in low-level picker-to-part system, International Journal of Production Research, 42(18), 3873-3889, 2004.
• Le-Duc T., De Koster R.M.B., Travel distance estimation and storage zone optimization in a 2-block class-based storage strategy warehouse, International Journal of Production Research, 43(17), 3561-3581, 2005.
• Roodbergen K.J., Sharp G.P., Vis I.F., Designing the layout structure of manual order picking areas in warehouses, IIE Transactions, 40(11), 1032-1045, 2008.
• Ratliff H.D., Rosenthal A.S., Order-picking in a rectangular warehouse: a solvable case of the traveling salesman problem, Operations Research, 31(3), 507-521, 1983.
• De Koster R., Le-Duc T., Roodbergen, K.J., Design and control of warehouse order picking: A literature review, European Journal of Operational Research, 182(2), 481-501, 2007.
• Theys C., Bräysy O., Dullaert W., Raa B., Using a TSP heuristic for routing order pickers in warehouses, European Journal of Operational Research, 200(3), 755-763, 2010.
• De Koster R., Van Der Poort E., Routing orderpickers in a warehouse: a comparison between optimal and heuristic solutions, IIE transactions, 30(5), 469-480, 1998.
• Roodbergen K.J., De Koster R., Routing order pickers in a warehouse with a middle aisle, European Journal of Operational Research, 133(1), 32-43, 2001.
• Gelders L., Heeremans D., Het travelng salesman probleem toegepast op order picking, Tijdschrift voor economie en management, 39(4), 1994.
• Little J.D.C., Murty K.G., Sweeney D.W., Karel C., An algorithm for the traveling salesman problem, Operations Research, 11(6), 972-989, 1963.
• Vaughan T.S., The effect of warehouse cross aisles on order picking efficiency, International Journal of Production Research, 37(4), 881-897, 1999.
• Daniels R.L., Rummel J.L., Schantz R., A model for warehouse order picking, European Journal of Operational Research, 105(1), 1-17, 1998.
• Makris P.A., Giakoumakis I.G., k-Interchange heuristic as an optimization procedure for material handling applications, Applied Mathematical Modelling, 27(5), 345-358, 2003.
• Scholz A., An Exact Solution Approach to the Single-Picker Routing Problem in Warehouses with an Arbitrary Block Layout, (No. 160006), Otto-von-Guericke University Magdeburg, Faculty of Economics and Management, 2016.
• Gue K.R., Meller R.D., Aisle configurations for unit-load warehouses, IIE Transactions, 41(3), 171-182, 2009.
• Öztürkoğlu Ö., Gue K.R., Meller R.D., Optimal unit-load warehouse designs for single-command operations, IIE Transactions, 44(6), 459-475, 2012.
• Öztürkoğlu Ö., Gue K. R., Meller R.D., A constructive aisle design model for unit-load warehouses with multiple pickup and deposit points, European Journal of Operational Research, 236(1), 382-394, 2014.
• Çelik M., Süral H., Order picking under random and turnover-based storage policies in fishbone aisle warehouses, IIE Transactions, 2013, DOI:10.1080/0740817X.2013.768871.
• Berglund P., Batta R., Optimal placement of warehouse cross-aisles in a picker-to-part warehouse with class-based storage, IIE Transactions, 44(2), 107-120, 2012.
• Henn S., Koch S., Gerking H., Wäscher G., A U-shaped layout for manual order-picking systems, Logistics Research, 1-17, 2013, DOI:10.1007/s12159-013-0104-6.
• Held M., Karp R.M, The traveling salesman problem and minimum spanning trees, Operations Research 18, 1138–1162, 1970.
• Volgenant T., Jonker R., A branch and bound algorithm for the symmetric traveling salesman problem based on the 1-tree relaxation, European Journal of Operational Research, 9(1), 83-89, 1982.