The problem of finding a work assignment for airline crew members in a given time horizon is addressed. In the literature this problem is usually referred to as the airline crew rostering problem. It consists of constructing monthly schedules for crew members by assigning them pairings, rest periods, annual and sick leave, training periods, union activities, and so forth, so as to satisfy the collective agreements and security rules. We formulate the airline crew rostering problem as a 0–1 multicommodity flow problem where each employee corresponds to a commodity; determining a monthly schedule for an employee is the same as computing a path on a suitably defined graph while still satisfying union conventions. A preprocessing phase is performed that reduces the dimension of the graph. To tighten the linear programming formulation of our model, we propose some families of valid inequalities that have proved to be computationally effective. Some of them can be treated implicitly when constructing the graph. Computational results obtained with a commercial integer programming solver (CPLEX) are analyzed.

A Multicommodity Flow Approach to the Crew Rostering Problem

GALLO, GIORGIO ANGELO
2004-01-01

Abstract

The problem of finding a work assignment for airline crew members in a given time horizon is addressed. In the literature this problem is usually referred to as the airline crew rostering problem. It consists of constructing monthly schedules for crew members by assigning them pairings, rest periods, annual and sick leave, training periods, union activities, and so forth, so as to satisfy the collective agreements and security rules. We formulate the airline crew rostering problem as a 0–1 multicommodity flow problem where each employee corresponds to a commodity; determining a monthly schedule for an employee is the same as computing a path on a suitably defined graph while still satisfying union conventions. A preprocessing phase is performed that reduces the dimension of the graph. To tighten the linear programming formulation of our model, we propose some families of valid inequalities that have proved to be computationally effective. Some of them can be treated implicitly when constructing the graph. Computational results obtained with a commercial integer programming solver (CPLEX) are analyzed.
2004
Cappanera, P.; Gallo, GIORGIO ANGELO
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/83333
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 57
  • ???jsp.display-item.citation.isi??? 47
social impact