Vehicle Routing with Time Window for Regional Network Services - Practical
Modelling Approach
Iman Niroomand
1
, Amir H. Khataie
2
,Masoud Rahiminezhad Galankashi
3
1
Department of Network Design, Canada Post, Ottawa, Ontario, Canada
2
Department of Network Design, Canada Post, Ottawa, Ontario, Canada
3
Department of Material, Manufacturing and Industrial Engineering, UniversitiTeknologi Malaysia, Johor, Malaysia
Abstract- Vehicle Routing Problem with Time Window
(VRPTW) has demonstrated an excessive application in
postal service network design. In this paper we elaborate
on how VRPTW modelling approach can benefit both
firm and contractors. The business objective is to
facilitate the process of retendering the contracts.
Accordingly, the novel modeling approach has been
developed in order to improve the practicality of the
results. The Ant Colony Optimization (ACO) is used for
solving the VRPTW for regional post office services.
Keywords-Vehicle Routing Problem, Postal Service, Ant
Colony Optimization
I. INTRODUCTION
Vehicle Routing Problem (VRP) is a combinatorial
optimization problem that has been investigated for many
years by scholars. VRP has extensive application in
supporting decision making process in transportation,
distribution, and logistics domains. The problemcan be
defined based on different type and size of vehicles and it
could vary from air to ground services. The basic VRP
includes a distribution hub or center and a set of customers
who needs to be visited. Vehicle starts the trip from the base
(distribution center) to delivers committed itemsto each
customer [1]. After the last visit, the vehicle must be
repositioned at the base for the next day trip.
Vehicle routing has several applications and can be
customized for different type of transportation and logistics
problems. Vehicle Routing with Time Windows (VRPTW)
is auniversal problem in postal delivery service. In VRPTW,
vehicle must visit each customer within the defined time
window and must return to its based at a certain time [2].In
order to solve VRPTW in real world not only the timing of
visiting customer is important but also many other
restrictions are imposed from both service provider and
customers. These issues need to be fulfilled in order to
enhance the practicality of the suggested solution [3].
In postal service distribution/collection network,each Postal
Office (PO) might have different business physical and
operational characteristics. For example, each PO has a
different processing shifts, facility restrictions (e.g. high or
low dock, parking limit),equipment limits (single stack vs.
double stack possibility), and different road condition. Each
of these restrictions can impact the truck type, truck size,
and truck loading profile. Moreover, the suggested loop
needs to respect certain legal and contractual obligations
such as, the maximum routing length, minimum or
maximum number of stops per route, and layover time
between collection and delivery process.
The VRP main algorithms could be divided to three
categories: Exact, Heuristics and Meta Heuristics [5].
Exact algorithms mainly use branch and cut method. This
type of algorithm requires asophisticated mathematical
programming unless the problem is defined on small size
(i.e. Hong Kong post office [6]) or the algorithm is used at
strategic level.Such a problem can’t be solved easily at
tactical or operational level. In addition to that and in a
real worldmore assumptions are imposed by operation
which makes the problem more complicatedto model or
rarely ended in successful solving [7].Therefore,
developing a comprehensive mathematical model which
answers all the design aspects is almost impossible and
such solution is neither cheap nor quick.
Furthermore, the model needs to be modified time to time
based on new rules and regulations.In reality and for
successful implementation, many scenarios must be
verified with operators and need to be approved by
different shareholders either at operation level or at upper
management level. In this matter, VRPTW model needs to
be validated through different what-if scenario analysis
and should also be solved during reasonable
computational time.
In this paper, the ACO algorithm is applied and modified
for VRPTW problem. The criteria of developing such an
algorithm are clearly discussed in order to have reliable
operational network. In the end, the solution is compared
with existing regional network to explain how the new
route construction would benefit the postal corporation in
retendering process.
II. PRACTICAL ROUTESUSING META-
HEURISTIC ALGORITHM
In general, there are two criteria to evaluate the superiority
of a model;computational time vs. the solution accuracy.
Computational time refers merely to methodology of
solving the problem and quality of the solution refers to
simplicity of implementation and flexibility of adapting
new terms and constraints [4].
978-1-4799-6410-9/14/$31.00 ©2014 IEEE