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.
|Copyright:||© 1998 Elsevier|
Electrical Engineering, Mathematics and Computer Science (EEMCS)
|Link to this item:||http://purl.utwente.nl/publications/73917|
|Export this item as:||BibTeX|
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