Abstract
In this paper we model the operation of a mining stockyard by an \erk queue. We describe the stockpile configuration of the stockyard by a set of discrete parameters, taking values in the set of positive integers, which define the queueing system. Our goal is to optimise both the throughput and a penalised throughput of this queueing system, by selecting the optimal number and size of the stockpiles within the stockyard. This is accomplished by the development of several tools, including a local search algorithm that exploits the specific nature and constraints of the system.
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References
Balakrishnan, A., Francis, R. L. and Grotzinger, S. J. 1996. Bottleneck Resource Allocation in Manufacturing. Management Science 42-11:1611–1625.
Banaszak, Z. A. and Honczarenk, J. 1997. Design of a Performance Repetative Manufacturing System. Proceedings of the Institution of Mechanical Engineers Part B Journal of Engineering Manufacture 211-4:329–334.
Brimberg, J. and Mehrez, A. 1997. A Note on the Allocation of Queuing Facilities Using A Minisum Criterion. Journal of the Operational Research Society 48:195–201.
Buzacott, J. A., and Shanthikumar, J. G. 1992. Stochastic Models of Manufacturing Systems. New Jersey: Prentice-Hall.
Cassandras, C. G. 1993.Discrete Event Systems: Modelling and Performance Analysis. Boston: Irwin and Aksen Ass.
Cheng, D. W. and Yao, D. D. Tandem Queues With General Blocking: A Unified Model and Stochastic Comparisons. Discrete Event Systems: Theory and Applications 2:207–234.
Conway, R., Maxwell, W., McClain, J. O. and Thomas, L. J. 1988. The Role of Work-In-Progress Inventory In Serial Production Lines. Operations Research 36:229–241.
Glasserman, P. and Yao, D. D. 1996. Structure Buffer-Allocation Problems. Discrete Event Systems: Theory and Applications 6-6:9–41.
Ho, Y. C., Sreenivas, R. and Vakili, P. 1992. Ordinal Optimization of Discrete Event Dynamic Systems. Journal of Discrete Event Systems 2-2:61–68.
Jarvis, J. P. Optimal Assignment in aMarkovian Queuing System. Computers and Operations Research 8:17–23.
Karabati, S., Kouvelis, P. and Yu., G. 1995. The Discrete Resource Allocation Problem in FlowLines. Management Science 9-9:1417–1430.
Kleinrock, L. 1975. Queueing Systems Volume 1: Theory, New York: John Wiley & Sons.
Kumar, R., Garg, V. K. and Marcus, S. J. 1995. Finite Buffer Realization of Input-Output DES. IEEE Transactions on Automatic Control 40-6:1042–1053.
Lauzon, S. C., Ma, A. K. L. and Benhabib, B. 1996. Application of Discrete Event System Theory to Flexible Manufacturing. IEEE Control Systems Magazine 16-1:41–48.
Nogami, S., Komota, Y. and Hoshiko, Y. 1984. Analysis of the GI/E k/1 Queue With Finite Waiting Room by the Supplementary Variable Approach. Electronics and Communications in Japan 67-A1:10–19.
Ohsone, T. 1981. The GI/E k /1 Queue With Finite Waiting Room. Journal of the Operations Research Society of Japan 24-4:375–390.
Papadimitriou, C. and Steiglitz, K. 1982. Combinatorial Optimisation Algorithms and Complexity. New Jersey: Prentice Hall.
Panayiotou, C. G. and Cassandras, C. G. 1996. Optimization of Kanban-Based Production Systems. Proceedings WODES '96, pp. 39–44.
Righter, R. 1989. A Resource Allocation Problem In A Random Environment. Operations Research 37-2:329–338.
Yang, M. S., Lee, L. and Ho, Y. C. 1997. On Stochastic Optimisation and Its Application to Manufacturing. Lectures In Applied Mathematics, Mathematics of Stochastic Manufacturings Systems 33:317–331.
Zerhourni, N., Ferney, M. and Elmoudri, A. 1995. Transcient Analysis of Manufacturing Systems Using Petri Nets. Mathematics and Computers in Simulation 39-5/6:635–639.
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Binkowski, M., McCarragher, B.J. A Queueing Model for the Design and Analysis of a Mining Stockyard. Discrete Event Dynamic Systems 9, 75–98 (1999). https://doi.org/10.1023/A:1008397332376
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DOI: https://doi.org/10.1023/A:1008397332376