Lagrangian Formulation for Energy-efficient Warehouse Design

Ivan Derpich, Juan Sepulveda

Abstract


Energy consumption in modern warehouses is today an important issue which has not received much attention in the scientific community. In this paper it is addressed the problem of warehouse design considering the energy costs incurred by vehicles and equipment in a fully or partially automated facility. Closed-form solutions are obtained by a formulating the Lagrangian of an operational cost function with equality constraints. The contribution of the paper is to develop formulas for reduced energy consumption and pollution, both relevant aspects in sustainable engineering systems. An example applied to a distributor of MRO items is presented. In this version the energy cost is integrated into the formula, modifying the method presented in [1].

Keywords


Energy optimization, integrated facility design, green supply chains

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References


I. Derpich and J. Sepulveda (2016), A Model for Storage Facility Design with Energy Costs, Computers Communications and Control (ICCCC), 2016 6th International Conference on, IEEE Xplore, e-ISSN 978-1-5090-1735-5, DOI: 10.1109/ICCCC.2016.7496753, 147 - 150.
https://doi.org/10.1109/ICCCC.2016.7496753

Y. Bassan, Y. Roll and M.J. Rosenblatt (1980), Internal Layout Design of a Warehouse, IIE Transactions, 12(4): 317-322.
https://doi.org/10.1080/05695558008974523

S. Onut, U.R.Tuzkaya, D. Bilgehan (2008), A particle swarm optimization algorithm for the multiple level warehouse layout design problem, Computers & Industrial Engineering, 54: 783-799.
https://doi.org/10.1016/j.cie.2007.10.012

P. Baker and M. Canessa (2009), Warehouse design: A structured approach, European Journal of Operational Research, 193: 425-436.
https://doi.org/10.1016/j.ejor.2007.11.045

J. Gu, M.Goetschalckx and L.F. McGinnis (2010), Research on warehouse design and performance evaluation: A comprehensive review, European Journal of Operational Research, 203:539-549.
https://doi.org/10.1016/j.ejor.2009.07.031

B. Rouwenhorst, B., B. Reuterb, V. Stockrahmb, G.J. van Houtumc, R.J. Mantela and W.H.M. Zijmc (2000), Warehouse design and control: Framework and literature review, European Journal of Operational Research, 122(3): 515-533.
https://doi.org/10.1016/S0377-2217(99)00020-X

S.S. Heragu, L. DU, R.J. Mantel and P.C. Schuur (2005), Mathematical model for warehouse design and product allocation International Journal of Production Research, 43(2):327-338.
https://doi.org/10.1080/00207540412331285841

S. Zhou, Y. Gong and R. De Koster(2016), Designing self-storage warehouses with customer choice, International Journal of Production Research, 54(10): 3080-3104.
https://doi.org/10.1080/00207543.2016.1158880

K.J. Roodbergen and F.A. Vis (2006), A model for warehouse layout, IIE Transactions, 38:799-811.
https://doi.org/10.1080/07408170500494566

J. Li, M. Moghaddam and S.Y. Nof (2016), Dynamic storage assignment with product affinity and ABC classification - a case study, Int J Adv Manuf Technol, 84:2179-2194.
https://doi.org/10.1007/s00170-015-7806-7

R.L. Francis (1967), On some problems of rectangular warehouse design and layout, Journal of Industrial Engineering, 18: 595-604.

D. G. Luenberger (1989), Linear and non linear programming, Chapter 10, Addison Wesley Iberoamericana, 299-305.




DOI: https://doi.org/10.15837/ijccc.2017.1.2782



Copyright (c) 2017 Ivan Derpich, Juan Sepulveda

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