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Two-stage fleet assignment model with uncertain demand

ZHANG Chun-xiao,SHI Xiao-lei,ZANG Qi-yin   

  1. (1a. Civil Aircraft Airworthiness and Maintenance Key Lab of Tianjin;1b. College of Science,CAUC,Tianjin 300300,
    China;2. Sales Department in Taiyuan,Shandong Airlines Co. Ltd.,Taiyuan 030001,China)
  • Received:2014-05-07 Revised:2014-06-12 Online:2015-08-22 Published:2015-09-24

Abstract:

For the fleet assignment problem of a new opening airlin.the probability distribution of its demand cannot be obtained due to the absence of previous data. Therefore.the demands of new flights are assumed as uncertain variables. A binary integer programming model of two-stage fleet assignment with chance constrains is proposed.where the first stage makes family-assignment decision.and the second stage solves type-assignment problem for a certain aircraft family. Given the uncertain distribution form of new flight demand.the proposed model is converted into a deterministic programming model. An improved branch and bound algorithm is designed to solve this model. Finally.a numerical example considers the fleet assignment problem of twenty flights of six new opening routes in a hub airport.results indicate the proposed model and algorithm are effective in practice.

Key words: fleet assignment, new airline demand, uncertainty theory, two-stage, binary integer programming, branch and bound algorithm

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