Title
Parking buses in a depot with stochastic arrival times
Abstract
Given buses of different types arriving at a depot during the evening, the bus parking problem consists of assigning these buses to parking slots in such a way that they can be dispatched adequately to the next morning routes without moving them between their arrivals and departures. In practice, the bus arrival times deviate stochastically from the planned schedule. In this paper, we introduce for this problem two solution approaches that produce solutions which are robust to variations in the arrival times. The first approach considers that each arrival can deviate from its planned arrival order (sooner or later) by at most k positions, where k is a predefined parameter. In the second approach, the objective aims at minimizing the expectation of a function positively correlated with the number of buses that make the planned solution infeasible because they arrive too late or too early. In both approaches, the problem is modeled as an integer linear program that can be solved by a commercial mip solver. Computational results obtained on instances derived from a real-world dataset are reported.
Year
DOI
Venue
2007
10.1016/j.ejor.2006.10.004
European Journal of Operational Research
Keywords
Field
DocType
Bus parking and dispatching,Stochastic arrival times,Integer programming modeling,Simulation
Integer,Mathematical optimization,Linear model,Algorithm,Integer programming,Linear programming,Depot,Solver,Mathematics,Operations management,During the evening
Journal
Volume
Issue
ISSN
183
2
0377-2217
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Mohamed Hamdouni1101.43
François Soumis282197.64
Guy Desaulniers387462.90