A cyclic production problem: an application of max-algebra

Nawijn, Wim M. (1998) A cyclic production problem: an application of max-algebra. European Journal of Operational Research, 104 (1). pp. 187-200. ISSN 0377-2217

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Abstract:	Given are m identical machines, each of which performs the same N operations Oi, 1 ≤ i ≤ N, cyclically and indefinitely, i.e. a production run on a machine looksO1, O2,…,ON, O1, O2,…,ON, O1…. There are nim to to perform operation Oi. The tools are transported between the machines by means of an infinitely fast transport device. Given a particular transport policy we prove the existence of stationary cyclic behaviour, determine the corresponding cycle time, and investigate the long run behaviour of the system starting from a given initial state.
Item Type:	Article
Copyright:	© 1998 Elsevier
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Discrete Mathematics and Mathematical Programming (DMMP)
Link to this item:	http://purl.utwente.nl/publications/73917
Official URL:	http://dx.doi.org/10.1016/S0377-2217(96)00336-0
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