Fleet assignment and routing with schedule synchronization constraints

نویسندگان

  • Irina Ioachim
  • Jacques Desrosiers
  • François Soumis
  • Nicolas Bélanger
چکیده

This paper introduces a new type of constraints, related to schedule synchronization, in the problem formulation of aircraft ̄eet assignment and routing problems and it proposes an optimal solution approach. This approach is based on Dantzig±Wolfe decomposition/column generation. The resulting master problem consists of ̄ight covering constraints, as in usual applications, and of schedule synchronization constraints. The corresponding subproblem is a shortest path problem with time windows and linear costs on the time variables and it is solved by an optimal dynamic programming algorithm. This column generation procedure is embedded into a branch and bound scheme to obtain integer solutions. A dedicated branching scheme was devised in this paper where the branching decisions are imposed on the time variables. Computational experiments were conducted using weekly ̄eet routing and scheduling problem data coming from an European airline. The test problems are solved to optimality. A detailed result analysis highlights the advantages of this approach: an extremely short subproblem solution time and, after several improvements, a very ecient master problem solution time. Ó 1999 Elsevier Science B.V. All rights reserved.

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عنوان ژورنال:
  • European Journal of Operational Research

دوره 119  شماره 

صفحات  -

تاریخ انتشار 1999