### Abstract

Original language | English |
---|---|

Place of Publication | Tilburg |

Publisher | Operations research |

Number of pages | 28 |

Volume | 2012-040 |

Publication status | Published - 2012 |

### Publication series

Name | CentER Discussion Paper |
---|---|

Volume | 2012-040 |

### Fingerprint

### Keywords

- Single-machine scheduling
- Family scheduling model
- Setup times
- Cooperative Game
- Core
- Marginal Vector.

### Cite this

*Family Sequencing and Cooperation*. (CentER Discussion Paper; Vol. 2012-040). Tilburg: Operations research.

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**Family Sequencing and Cooperation.** / Grundel, S.; Ciftci, B.B.; Borm, P.E.M.; Hamers, H.J.M.

Research output: Working paper › Discussion paper › Other research output

TY - UNPB

T1 - Family Sequencing and Cooperation

AU - Grundel, S.

AU - Ciftci, B.B.

AU - Borm, P.E.M.

AU - Hamers, H.J.M.

N1 - Pagination: 28

PY - 2012

Y1 - 2012

N2 - To analyze the allocation problem of the maximal cost savings of the whole group of jobs, we define and analyze a so-called corresponding cooperative family sequencing game which explicitly takes into account the maximal cost savings for any coalition of jobs. Using nonstandard techniques we prove that each family sequencing game has a non-empty core by showing that a particular marginal vector belongs to the core. Finally, we specifically analyze the case in which the initial order is family ordered.

AB - To analyze the allocation problem of the maximal cost savings of the whole group of jobs, we define and analyze a so-called corresponding cooperative family sequencing game which explicitly takes into account the maximal cost savings for any coalition of jobs. Using nonstandard techniques we prove that each family sequencing game has a non-empty core by showing that a particular marginal vector belongs to the core. Finally, we specifically analyze the case in which the initial order is family ordered.

KW - Single-machine scheduling

KW - Family scheduling model

KW - Setup times

KW - Cooperative Game

KW - Core

KW - Marginal Vector.

M3 - Discussion paper

VL - 2012-040

T3 - CentER Discussion Paper

BT - Family Sequencing and Cooperation

PB - Operations research

CY - Tilburg

ER -