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Slow Steaming in Container Shipping
Article · January 2012
DOI: 10.1109/HICSS.2012.529
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Jasper Meyer
University of Hamburg
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Robert Stahlbock
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Slow Steaming in Container Shipping
Jasper Meyer
Student at the
University of Hamburg and
Hamburg University of Applied
Sciences, Germany
jasper_meyer@gmx.net
Robert Stahlbock
Institute of Information Systems
University of Hamburg
and Lecturer at FOM University
of Applied Sciences,
Essen/Hamburg, Germany
stahlbock@econ.uni-
hamburg.de
Stefan Voß
Institute of Information Systems
University of Hamburg
stefan.voss@uni-hamburg.de
Abstract
International supply chains heavily rely on
maritime shipping. Since the beginning of the latest
economical crisis, the containership fleet is slowing
down. This paper gives a short overview of the slow
steaming history as well as the widely assumed
coherence between a ship’s speed and its fuel
consumption. Calculating fuel consumption as a
function of speed provides decision support regarding
the decision to which extent slowing down should be
performed. It can be assumed that, compared to sailing
at full speed, a speed reduction has a positive
economic and also environmental impact. This paper is
focused on the economic aspects. We show the
considerable cost saving potential of a lower ship
speed as a result of the decreasing fuel consumption.
In combination with other variables of a container
vessels’ profit function, this may lead to the profit
optimizing speed of a container carrier.
1. Introduction
In the last decades, container shipping companies
were trying to deliver their goods as quickly and
reliably as possible. Even the ever-increasing fuel
prices could not stop this trend. The resulting costs
could be compensated by the growing revenues
resulting from the worldwide increasing demand of
transport capacity due to globalization. However,
based on the impacts of the economic crisis on the
global trade market in the last years, activities on the
transport market as well as revenues dropped severely.
Not only the demand of transport capacity was
shrinking in an unexpected way, but additionally the
supply was growing extremely fast. This vicious cycle
seems typical for the container shipping industry. In an
economic boom, shipping companies order large
capacities (a large number of ships and/or ships with a
large capacity), which are delivered later, possibly in a
recession phase. In combination with the trend of
growing ship size and the decreasing demand as a
result of a recession, this cycle leads to a large
mismatch between supply and demand of transport
capacity. As a result, freight rates decrease. One
strategy to cut down operational costs is to moor some
vessels with minimal crew for a longer time until new
cargo has to be loaded. Indeed, an increase of the
number of laid-up vessels could be observed as a result
of the global crisis.
An additional strategy for shipping companies is to
slow down vessels compared to sailing at full speed.
The basic idea of this slow steaming is not new as it is
well known, that the fuel consumption of large cargo
vessels is rising exponentially with a vessel’s velocity.
Due to this fact, ships were operated with a lower
speed in former times as well. But compared to today,
it was never applied to such a large part of the
worldwide fleet because of the exceptional
circumstances in the latest crisis. However, even
nowadays, as the crisis in the transport sector is nearly
over, slow steaming remains a common operating
mode for container ships. Due to the lack of interest in
former times, important parts of the theoretical
background of slow steaming are unknown or not
reflected in some parts of the literature.
In this paper we provide decision support regarding
the question to which extent slow steaming is
profitable and how profit optimizing vessel speeds can
be calculated. After a literature review we discuss
various effects of slow steaming in Section 3.
Calculations are shown in Section 4 and Section 5
concludes the paper.
2. Literature review
The calculation of optimal speed for freight vessels
and related performance indicators such as freight rates
were analyzed a few decades ago, e.g., in [9, 10]. In
[27], an analysis of the effect of oil price on the
optimal vessel speed is presented. The calculations for
2012 45th Hawaii International Conference on System Sciences
978-0-7695-4525-7/12 $26.00 © 2012 IEEE
DOI 10.1109/HICSS.2012.529
1306
optimal speed are different in these publications but the
main principles of the relationship among impact
factors and speed seem to be correct. However, the
research was based upon the common but old-
fashioned ‘admiralty formula’ which assumes that the
daily fuel consumption is rising by the power of three
with regard to the speed. This admiralty formula stems
from times when ships were operated by coal. In
particular today, this formula is not appropriate as a
basis for reliable calculations of fuel consumption
under real world conditions.
While the speed of a vessel may be optimized,
especially in the liner and container shipping business
various side constraints may come into play. Among
others, this concerns the interplay between different
vessels of a fleet operating to achieve some common
goals. In [24], fuel costs are modeled as a nonlinear
function of a vessel’s speed. The problem of vessels
allocation to routes is combined with the problem of
speed selection in an optimization model. Based upon
[15, 25], an integer programming model for mini-
mizing operating and lay-up costs for a fleet of liner
ships operating on various routes is presented in [26].
Basic fuel consumption characteristics of vessels are
used as model input. However, environmental aspects
were not in the focus at that time. In [17], the optimal
vessel speed considering costs and environmental
aspects by lowered fuel consumption is briefly
analyzed and discussed.
Independent from the container shipping industry,
[3] provides a simple and yet effective spreadsheet
based approach for saving considerable amounts of
fuel for US navy ships without the need of new
respect to the ratio of operational and design speed.
According to [7], the relationship between speed and
fuel consumption depends on an engine’s type and its
load. In particular with loads below 25% maximum
continuous rating, common rules of thumb fail. The
study reports potential emission reductions in the order
of 30% without the need of specific slow steaming
equipment. Recent calculations and detailed analysis of
economical and technical aspects in [11, 12] indicate
that the fuel savings potential by speed reduction is
considerably higher than claimed in numerous previous
publications.
According to our observation as well as [22] in
most formulations of maritime transportation
problems, time and cost of sailing are not varied
regarding speed. The latter paper builds upon [8] and
provides an extended formulation by introducing
variables for the sailing speed for each ship and sailing
leg, as well as an adjusted cost function and constraints
to incorporate speed as decision variables. For advising
solution methods such as multi-start local search based
methods the authors advise discretized arrival times. In
[4], it is shown for container shipping that slow
steaming has reduced emissions by around 11% over
the years 2008-2010 without the adoption of new
technology. Furthermore, a bunker break-even price
with the slow steaming strategy and the resulting
emission reduction being sustainable in the long run is
calculated. For the main container trades it is found
that considerable reductions can only be sustained with
a high bunker price of at least $350–$400. Therefore,
’market-based solutions‘ (e.g., tax levies and/or cap-
and-trade systems) are recommended in order to