### Abstract

Original language | Undefined |
---|---|

Pages (from-to) | 187-200 |

Number of pages | 14 |

Journal | European journal of operational research |

Volume | 104 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1998 |

### Keywords

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

### Cite this

*European journal of operational research*,

*104*(1), 187-200. https://doi.org/10.1016/S0377-2217(96)00336-0

}

*European journal of operational research*, vol. 104, no. 1, pp. 187-200. https://doi.org/10.1016/S0377-2217(96)00336-0

**A cyclic production problem: an application of max-algebra.** / Nawijn, W.M.

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

TY - JOUR

T1 - A cyclic production problem: an application of max-algebra

AU - Nawijn, W.M.

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

KW - Production

KW - Eigenvalue problem

KW - Knapsack function

KW - METIS-140558

KW - Cycle time

KW - Minimax-algebra

KW - IR-73917

U2 - 10.1016/S0377-2217(96)00336-0

DO - 10.1016/S0377-2217(96)00336-0

M3 - Article

VL - 104

SP - 187

EP - 200

JO - European journal of operational research

JF - European journal of operational research

SN - 0377-2217

IS - 1

ER -