Computers & Operations Research 36 (2009) 1740--1750
Contents lists available at ScienceDirect
Computers & Operations Research
journal homepage: www.elsevier.com/locate/cor
Online decision making and automatic decision model adaptation
J ¨ orn Sch ¨ onberger
∗
, Herbert Kopfer
University of Bremen, Chair of Logistics, Wilhelm-Herbst-Straße 5, 28359 Bremen, Germany
ARTICLE INFO ABSTRACT
Available online 1 May 2008
Keywords:
Transportation
Vehicle routing
Online optimization
Adaptation
Dynamic decision problem
Supply chain
The paper investigates an online version of the vehicle routing problem with time windows, in which
additionally arriving requests cause the revision of so far followed routes and schedules. An extended
online optimization framework is proposed, which automatically adapts to problem variations and en-
ables the explicit consideration of up-to-date knowledge about the current performance of the controlled
system. Actually, we use the mean punctuality observed in the transportation system to adjust the ob-
jective function utilized for solving the next decision problem instance. The search is guided toward least
cost solutions coming along with high punctuality. We prove the applicability of this approach within
comprehensive numerical experiments.
© 2008 Elsevier Ltd. All rights reserved.
1. Introduction
The supply chain of a product describes the sequence of activ-
ities to be carried out in order to create the desired output from
one or several inputs factors. Supply chain planning (SCP) aims at
achieving the highest possible efficiency of a supply chain by coordi-
nating and consolidating the necessary material flows ("processes'')
so that economies of scale are exploited to the largest possible
extent.
Recent trends in the management of supply chains compromise
the successful application of existing concepts for computational
planning support.
• The ability to consider unexpected events in an ad hoc fashion is
propagated as significant competitive advantage. The continuous
incorporation of recent problem data requires a continuous plan
revision.
• The partners forming the supply chain are not willing to give
up the responsibility and self-reliance for the material flow
decisions in their part of a supply chain. Consequently, the cen-
tralized supply chain wide top-down material flow determina-
tion and the goals of the incorporated partners are sometimes
contradicting.
This research was supported by the German Research Foundation (DFG) as
part of the Collaborative Research Centre 637 "Autonomous Cooperating Logistic
Processes'' (Subproject B7).
∗
Corresponding author. Fax: +49 421 218 4271.
E-mail addresses: jsb@uni-bremen.de (J. Sch ¨ onberger), kopfer@uni-bremen.de
(H. Kopfer).
0305-0548/$ - see front matter © 2008 Elsevier Ltd. All rights reserved.
doi:10.1016/j.cor.2008.04.009
Contracts between supply chain partners are fixed for several months
and must consider both the responsiveness of the involved partners
to dynamics (e.g. demand variations and peaks) and the partners'
autonomy in the operational deployment planning. Although a sup-
ply chain is built by independent partners, one of them, the supply
chain coordinator is dedicated and entitled to persuade the indepen-
dent partners to behave and act in the sense of the superior supply
chain goals instead of the subordinate partner's aims.
Computer-supported decision making is necessary for all
supply chain partners. The definition of a suitable mathematical
decision model is a prerequisite for the successful application of
automatic decision making tools like optimization algorithms. How-
ever, the fine-tuning of such a model is a sophisticated task that
typically requires some trial-and-error runs in order to identify the
best parameter setting. Solving a concatenated sequence of decision
problem instances is referred to as online optimization. The defini-
tion and the solving of a new instance are triggered by events that
compromise the realization of the so far optimal solution. There is no
time to experiment on the right parameters for the decision model
of the new problem. Here, the right parameters have to be adjusted
automatically.
Within this article, we investigate the impacts of different con-
figurations for the interaction between the supply chain coordinator
and a transport-providing partner in a given supply chain. We ana-
lyze the implications of different intervention rights that enable the
coordinator to bias the planning decisions of the transport partner
by adjusting relevant decision model parameters. We show that a
performance-oriented adaptation of the transport partner's decision
logic has positive impacts on the overall supply chain reliability.
An extension of the well-established online decision making frame-
work is proposed. It enables a planning system of the coordinator to