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**A new linear programming approach and genetic algorithm for solving airline boarding problem.**
*(English)*
Zbl 1252.90101

Summary: The airline industry is under intense competition to simultaneously increase efficiency and satisfaction for passengers and profitability and internal system benefit for itself. The boarding process is one way to achieve these objectives as it tends itself to adaptive changes. In order to increase the flying time of a plane, commercial airlines try to minimize the boarding time, which is one of the most lengthy parts of a plane’s turn time. To reduce boarding time, it is thus necessary to minimize the number of interferences between passengers by controlling the order in which they get onto the plane through a boarding policy. Here, we determine the passenger boarding problem and examine the different kinds of passenger boarding strategies and boarding interferences in a single aisle aircraft. We offer a new integer linear programming approach to reduce the passenger boarding time. A genetic algorithm is used to solve this problem. Numerical results show effectiveness of the proposed algorithm.

### MSC:

90C90 | Applications of mathematical programming |

90B06 | Transportation, logistics and supply chain management |

90C11 | Mixed integer programming |

90C59 | Approximation methods and heuristics in mathematical programming |

### Keywords:

OR in airlines; mixed integer linear programming; transportation; boarding strategy; genetic algorithm### Software:

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\textit{M. Soolaki} et al., Appl. Math. Modelling 36, No. 9, 4060--4072 (2012; Zbl 1252.90101)

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### References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.