### Abstract

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

Title of host publication | Handbook of Combinatorial Optimization : Supplement Volume B |

Editors | Ding-Zhu Du, Panos M Pardalos |

Volume | B |

Place of Publication | Boston, MA |

Publisher | Springer |

Publication date | 2005 |

Pages | 259-311 |

ISBN (Print) | 9780387238296 |

ISBN (Electronic) | 9780387238302 |

DOIs | |

Publication status | Published - 2005 |

Externally published | Yes |

### Cite this

*Handbook of Combinatorial Optimization: Supplement Volume B*(Vol. B, pp. 259-311). Boston, MA: Springer. https://doi.org/10.1007/b102533

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*Handbook of Combinatorial Optimization: Supplement Volume B.*vol. B, Springer, Boston, MA, pp. 259-311. https://doi.org/10.1007/b102533

**The Generalized Assignment Problem and Extensions.** / Romero Morales, Dolores ; Romeijn, H. Edwin.

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

TY - CHAP

T1 - The Generalized Assignment Problem and Extensions

AU - Romero Morales, Dolores

AU - Romeijn, H. Edwin

PY - 2005

Y1 - 2005

N2 - In this chapter we have described the state of the art in solving the Generalized Assignment Problem, as well as many extensions thereof. The approach we have taken is to generalize the GAP to a much larger class of Convex Assignment Problems, show that many of the extensions of the GAP proposed in the literature are members of this class, and describe many of the proposed solution approaches to the GAP in terms of the larger class of problems. Throughout the chapter we have paid particular attention to the Generalized Assignment Problem, the Multi-Resource Generalized Assignment Problem, and the Multi-Period Single-Sourcing Problem.

AB - In this chapter we have described the state of the art in solving the Generalized Assignment Problem, as well as many extensions thereof. The approach we have taken is to generalize the GAP to a much larger class of Convex Assignment Problems, show that many of the extensions of the GAP proposed in the literature are members of this class, and describe many of the proposed solution approaches to the GAP in terms of the larger class of problems. Throughout the chapter we have paid particular attention to the Generalized Assignment Problem, the Multi-Resource Generalized Assignment Problem, and the Multi-Period Single-Sourcing Problem.

KW - Operations Research, Mathematical Programming

KW - Combinatorics

KW - Systems Theory, Control

KW - Computer Science, general

U2 - 10.1007/b102533

DO - 10.1007/b102533

M3 - Book chapter

SN - 9780387238296

VL - B

SP - 259

EP - 311

BT - Handbook of Combinatorial Optimization

A2 - Du, Ding-Zhu

A2 - Pardalos, Panos M

PB - Springer

CY - Boston, MA

ER -