Abstract
Stacking and shuffling problems are key logistics problems in various areas such as container shipping or steel industry. The aim of this paper is motivated by a real world instance arised in steel production. Slabs, continously but randomly casted, need to be arranged for transport while having a certain number of buffer stacks available. The optimization problem arising is assigning transport lotnumbers, regarding properties of slabs, as well as minimizing shuffling movements while arranging the slabs, regarding the implicitly given transport order. For that purpose, a combined optimization problem, being composed of two sub-problems is developed. Further computational studies are conducted in order to investigate the complexity of the problem. A combined solution approach is developed solving the problem in a sequential way using customized algorithms in order to make advantage of specialised algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Caserta, M., Schwarze, S., Voß, S.: A mathematical formulation and complexity considerations for the blocks relocation problem. Eur. J. Oper. Res. 219(1), 96–104 (2012)
De Castillo, B., Daganzo, C.F.: Handling strategies for import containers at marine terminals. Transp. Res. Part B: Methodol. 27(2), 151–166 (1993)
Fernandes, E.F.A., Freire, L., Passos, A.C., Street, A.: Solving the non-linear slab stack shuffling problem using linear binary integer programming. In: EngOpt 2012–3rd International Conference on Engineering Optimization (2012)
IBM, C. IBM Software. Retrieved from CPLEX Optimizer. http://www-01.ibm.com/software/commerce/optimization/cplex-optimizer/, 30 April 2015
Kang, J., Ryu, K.R., Kim, K.H.: Deriving stacking strategies for export containers with uncertain weight information. J. Intell. Manuf. 17, 399–410 (2006)
Kim, K.H., Bae, J.W.: Re-marshalling export containers in port container terminals. Comput. Ind. Eng. 35, 655–658 (1998)
König, F.G., Lübbecke, M., Möhring, R.H., Schäfer, G., Spenke, I.: Solutions to real-world instances of PSPACE-complete stacking. In: Arge, L., Hoffmann, M., Welzl, E. (eds.) ESA 2007. LNCS, vol. 4698, pp. 729–740. Springer, Heidelberg (2007)
Lee, Y., Hsu, N.Y.: An optimization model for the container pre-marshalling problem. Comput. Oper. Res. 34, 3295–3313 (2007)
Luo, J., Wu, Y., Halldorsson, A., Song, X.: Storage and stacking logistics problems in container terminals. OR Insight 24, 256–275 (2011)
Singh, K.A., Srinivas, Tiwari, M.K.: Modelling the slab stack shuffling problem in developing steel rolling schedules and its solution using improved Parallel Genetic Algorithms. Int. J. Prod. Econ. 91, 135–147 (2004)
Tang, L.X., Liu, J.Y., Rong, A.Y., Yang, Z.H.: An effective heuristic algorithm to minimise stack shuffle in selecting steel slabs from the slab yard for heating and rolling. J. Oper. Res. Soc. 52, 1091–1097 (2001)
Tang, L.X., Liu, J.Y., Rong, A.Y., Yang, Z.H.: Modelling and a genetic algorithm solution for the slab stack shuffling problem when implementing steel rolling schedules. Int. J. Prod. Res. 40(7), 1083–1095 (2002)
Tang, L., Ren, H.: Modelling and a segmented dynamic programming-based heuristic approach for the slab stack shuffling problem. Comput. Oper. Res. 37, 368–375 (2010)
Wagner, S., Kronberger, G., Beham, A., Kommenda, M., Scheibenpflug, A., Pitzer, E., Vonolfen, S., Kofler, M., Winkler, S., Dorfer, V., Affenzeller, M.: Architecture and design of the HeuristicLab optimization environment. Top. Intell. Eng. Inf. 6, 197–261 (2014)
Wagner, S.: Heuristic optimization software systems - modeling of heuristic optimization algorithms in the HeuristicLab software environment. Ph.D. Thesis, Johannes Kepler University Linz (2009)
Acknowledgments
The work described in this paper was done within the COMET Project Heuristic Optimization in Production and Logistics (HOPL), #843532 funded by the Austrian Research Promotion Agency (FFG).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Fechter, J., Beham, A., Wagner, S., Affenzeller, M. (2015). Modeling a Lot-Aware Slab Stack Shuffling Problem. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2015. EUROCAST 2015. Lecture Notes in Computer Science(), vol 9520. Springer, Cham. https://doi.org/10.1007/978-3-319-27340-2_42
Download citation
DOI: https://doi.org/10.1007/978-3-319-27340-2_42
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-27339-6
Online ISBN: 978-3-319-27340-2
eBook Packages: Computer ScienceComputer Science (R0)