A cyclic production problem: an application of max-algebra

W.M. Nawijn

doi:10.1016/S0377-2217(96)00336-0

A cyclic production problem: an application of max-algebra

W.M. Nawijn

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	Undefined
Pages (from-to)	187-200
Number of pages	14
Journal	European journal of operational research
Volume	104
Issue number	1
DOIs	https://doi.org/10.1016/S0377-2217(96)00336-0
Publication status	Published - 1998

Keywords

Production
Eigenvalue problem
Knapsack function
METIS-140558
Cycle time
Minimax-algebra
IR-73917

Access to Document

10.1016/S0377-2217(96)00336-0

Cite this

Nawijn, W. M. (1998). A cyclic production problem: an application of max-algebra. European journal of operational research, 104(1), 187-200. https://doi.org/10.1016/S0377-2217(96)00336-0

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