American Journal of Operations Research, 2017, 7, 1-25
http://www.scirp.org/journal/ajor
ISSN Online: 2160-8849
ISSN Print: 2160-8830
DOI: 10.4236/ajor.2017.71001 December 27, 2016
Development of an Efficient Genetic Algorithm
for the Time Dependent Vehicle Routing
Problem with Time Windows
Suresh Nanda Kumar, Ramasamy Panneerselvam
School of Management, Pondicherry University, Pondicherry, India
Abstract
This research considers the time-dependent vehicle routing problem (TDVRP).
The time-dependent VRP does not assume constant speeds of the vehicles.
The speeds of the vehicles vary during the various times of the day, based on
the traffic conditions. During the periods of peak traffic hours, the vehicles
travel at low speeds and during non-peak hours, the vehicles travel at higher
speeds. A survey by TCI and IIM-C (2014) found that stoppage delay as per-
centage of journey time varied between five percent and 25 percent, and was
very much dependent on the characteristics of routes. Costs of delay were also
estimated and found not to affect margins by significant amounts. This study
aims to overcome such problems arising out of traffic congestions that lead to
unnecessary delays and hence, loss in customers and thereby valuable reve-
nues to a company. This study suggests alternative routes to minimize travel
times and travel distance, assuming a congestion in traffic situation. In this
study, an efficient GA-based algorithm has been developed for the TDVRP, to
minimize the total distance travelled, minimize the total number of vehicles
utilized and also suggest alternative routes for congestion avoidance. This
study will help to overcome and minimize the negative effects due to heavy
traffic congestions and delays in customer service. The proposed algorithm
has been shown to be superior to another existing algorithm in terms of the
total distance travelled and also the number of vehicles utilized. Also the per-
formance of the proposed algorithm is as good as the mathematical model for
small size problems.
Keywords
Time-Dependent Vehicle Routing Problem, Genetic Algorithm,
Chromosomes, Cross-Over, Travel Times, Vehicles
How to cite this paper: Kumar, S.N. and
Panneerselvam, R. (2017) Development of
an Efficient Genetic Algorithm for the
Time Dependent Vehicle Routing Problem
with Time Windows. American Journal of
Operations Research, 7, 1-25.
http://dx.doi.org/10.4236/ajor.2017.71001
Received: November 7, 2016
Accepted: December 24, 2016
Published: December 27, 2016
Copyright © 2017 by authors and
Scientific Research Publishing Inc.
This work is licensed under the Creative
Commons Attribution International
License (CC BY 4.0).
http://creativecommons.org/licenses/by/4.0/
Open Access