A Two-Dimensional Genetic Algorithm and Its Application to Aircraft Scheduling Problem

Ming-Wen Tsai, Tzung-Pei Hong and Woo-Tsong Lin

Mathematical Problems in Engineering, 2015, vol. 2015, 1-12

Abstract:

Genetic algorithms have become increasingly important for researchers in resolving difficult problems because they can provide feasible solutions in limited time. Using genetic algorithms to solve a problem involves first defining a representation that describes the problem states. Most previous studies have adopted one-dimensional representation. Some real problems are, however, naturally suitable to two-dimensional representation. Therefore, a two-dimensional encoding representation is designed and the traditional genetic algorithm is modified to fit the representation. Particularly, appropriate two-dimensional crossover and mutation operations are proposed to generate candidate chromosomes in the next generations. A two-dimensional repairing mechanism is also developed to adjust infeasible chromosomes to feasible ones. Finally, the proposed approach is used to solve the scheduling problem of assigning aircrafts to a time table in an airline company for demonstrating the effectiveness of the proposed genetic algorithm.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:906305

DOI: 10.1155/2015/906305

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