Journal ArticleDOI
A Time-Space Network Approach for the Integrated Vehicle-and Crew-Scheduling Problem with Multiple Depots
Reads0
Chats0
TLDR
A new modeling approach is presented that is based on a time-space network representation of the underlying vehicle-scheduling problem that outperforms other methods from the literature for well-known test problems.Abstract:
This paper discusses the integrated vehicle-and crew-scheduling problem in public transit with multiple depots. It is well known that the integration of both planning steps discloses additional flexibility that can lead to gains in efficiency, compared to sequential planning. We present a new modeling approach that is based on a time-space network representation of the underlying vehicle-scheduling problem. The integrated problem is solved with column generation in combination with Lagrangian relaxation. The column generation subproblem is modeled as a resource-constrained shortest-path problem based on a novel time-space network formulation. Feasible solutions are generated by a heuristic branch-and-price method that involves fixing service trips to depots. Numerical results show that our approach outperforms other methods from the literature for well-known test problems.read more
Citations
More filters
Journal ArticleDOI
Planning, operation, and control of bus transport systems: A literature review
TL;DR: In this paper, the authors present a comprehensive review of the literature on transit network planning problems and real-time control strategies suitable for bus transport systems, emphasizing recent studies as well as works not addressed in previous reviews.
Journal ArticleDOI
Transit Bus Scheduling with Limited Energy
TL;DR: This work develops column-generation-based algorithms to solve the scheduling problems for electric transit buses with either battery swapping or fast charging at a battery station, and a vehicle-scheduling model with the maximum route distance constraint for compressed natural gas, diesel, or hybrid-diesel buses.
Journal ArticleDOI
On an exact method for the constrained shortest path problem
TL;DR: This work proposes an exact solution method for the constrained shortest path capable of handling large-scale networks in a reasonable amount of time and obtained significant speedups against alternative column generation schemes that solve the auxiliary problem with state-of-the-art commercial (linear) optimizers.
Journal ArticleDOI
An eigenmodel for iterative line planning, timetabling and vehicle scheduling in public transportation
TL;DR: This paper develops and discusses a generic, bi-objective model for integrating line planning, timetabling, and vehicle scheduling and proposes an eigenmodel which can be used for the design of iterative algorithms as heuristics for the integrated problem.
Journal ArticleDOI
Vehicle Scheduling of an Urban Bus Line via an Improved Multiobjective Genetic Algorithm
TL;DR: This paper proposes a coding scheme that has a relatively short coding length and low decoding complexity that is applied to a real-world vehicle scheduling problem of a bus line in Nanjing, China and is able to quickly produce satisfactory Pareto solutions that outperform the actually used experience-based solution.
References
More filters
Journal ArticleDOI
A Heuristic Method for the Set Covering Problem
TL;DR: A Lagrangian-based heuristic for the well-known Set Covering Problem (SCP), which won the first prize in the FASTER competition, and proposes a dynamic pricing scheme for the variables, akin to that used for solving large-scale LPs, to be coupled with subgradient optimization and greedy algorithms.
Journal ArticleDOI
A column generation approach to the urban transit crew scheduling problem
TL;DR: In this paper, a column generation approach is proposed to solve the urban transit crew scheduling problem, which decomposes the problem into two parts: the set covering problem chooses a schedule from already known feasible workdays and the second subproblem is a shortest path problem with resource constraints.