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Omega 33 (2005) 419–423
www.elsevier.com/locate/omega
Information sharing in supply chains
P. Fiala
University of Economics, Prague, Czech Republic
Accepted 29 June 2004
Available online 15 September 2004
Abstract
Supply chain is defined as a system of suppliers, manufacturers, distributors, retailers and customers where material, financial
and information flows connect participants in both directions. Most supply chains are composed of independent agents with
individual preferences. It is expected that no single agent has the power to optimise the supply chain. Supply chain management
is now seen as a governing element in strategy and as an effective way of creating value for customers. The so-called bullwhip
effect, describing growing variation upstream in a supply chain, is probably the most famous demonstration that decentralised
decision making can lead to poor supply chain performance. Information asymmetry is one of the most powerful sources of
the bullwhip effect. Information sharing of customer demand has an impact on the bullwhip effect. Information technology
has lead to centralised information, shorter lead times and smaller batch sizes. The analysis of causes of the bullwhip effect
has lead to suggestions for reducing the bullwhip effect in supply chains by strategic partnership. Supply chain partnership
leads to increased information flows, reduced uncertainty, and a more profitable supply chain. The cooperation is based on
contacts and formal agreements. Information exchange is very important issue for coordinating actions of units. New business
practices and information technology make the coordination even closer. Information sharing and strategic partnerships of
units can be modelled by different network structures.
᭧ 2004 Elsevier Ltd. All rights reserved.
Keywords: Supply chain; System dynamics; Bullwhip effect; Information sharing; Cooperation
1. Supply chain management
Supply chain management has generated a substantial
amount of interest both among managers and researchers.
Supply chain management is now seen as a governing ele-
ment in strategy and as an effective way of creating value
for customers. Supply chain management benefits from a
variety of concepts that were developed in several different
disciplines as marketing, information systems, economics,
system dynamics, logistics, operations management, and op-
erations research. There are many concepts and strategies
applied in designing and managing supply chains [1]. The
expanding importance of supply chain integration presents
a challenge to research to focus more attention on supply
E-mail address: pfiala@vse.cz (P. Fiala).
0305-0483/$ - see front matter ᭧ 2004 Elsevier Ltd. All rights reserved.
doi:10.1016/j.omega.2004.07.006
chain modelling [2]. A structure of supply chains is com-
posed from potential suppliers, producers, distributors, re-
tailers and customers etc. The units are interconnected by
material, financial, information and decisional flows. Most
supply chains are composed of independent units with in-
dividual preferences. Each unit will attempt to optimise his
own preference. Behaviour that is locally efficient can be
inefficient from a global point of view. In supply chain be-
haviour are many inefficiencies. An increasing number of
companies in the world subscribe to the idea that develop-
ing long-term coordination and cooperation can significantly
improve the efficiency of supply chains and provide a way
to ensure competitive advantage.
The overall business environment is becoming increas-
ingly dynamic. Demand and supply for custom products
can be very dynamic. Supply chains operate in a network
420 P. Fiala / Omega 33 (2005) 419–423
environment. Dynamic information and decision-making
models are called to accommodate these changes and uncer-
tainties. There are some approaches to model and analyse
the supply chain dynamics. AND/OR networks are capable
of capture a variety of activities and decisions and can be
used by decision-makers to evaluate the efficiency of cur-
rent operations and to coordinate supply chain activities.
Dynamic models use concepts of state variables, flows, and
feedback processes and can be developed and simulated
with help of STELLA software, where graphical tools are
utilised. Dynamic models of supply chains try to reflect
changes in real or simulated time and take into account that
the network model components are constantly evolving.
An information asymmetry is a source of inefficiency
in supply. Information exchange is a very important issue
for coordinating actions of units. The proposed modelling
framework is composed from three inter-related network
structures: a production net, Petri net and a neural net. The
production net captures information flows among agents.
The Petri net is used to coordinate asynchronous events of
different units in network production systems and to model
negotiation process. The neural net serves as an instrument
for inductive learning of negotiation strategies.
The expected result is a mutually beneficial, win-win part-
nership that creates a synergistic supply chain in which the
entire chain is more effective than the sum of its individual
parts. Supply chain partnership leads to increased informa-
tion flows, reduced uncertainty, and a more profitable supply
chain. The ultimate customer will receive a higher quality,
cost-effective product in a shorter amount of time.
2. System dynamics
System dynamics is concerned with problem solving in
living systems [3–6]. It links together hard control theory
with soft system theory. System dynamics needs relevant
tools from both ends of the systems spectrum. If the possible
causal factors are identified and their respective contribu-
tion to the overall dynamics are quantitatively measured and
benchmarked, then it would be conducive to performance
improvement by eliminating or reducing the relevant dy-
namics. The performance improvement is also predictable
with the help of the dynamics benchmark. Systems of in-
formation feedback control are fundamental to all systems.
Feedback theory explains how decisions, delays and predic-
tions can produce either good control or dramatically unsta-
ble operation.
The supply chain dynamics lead to the increase in the
cost of the units and the whole chain. A feedback control
system causes a decision, which in turn affects the original
environment. In supply chains, orders and inventory levels
lead to manufacturing decisions that fill orders and correct
inventories. As a consequence of using system dynamics
in supply chain redesign, we are able to generate added
insight into system dynamic behaviour and particularly into
underlying causal relationships. This new knowledge can be
exploited in the improved design, robustness and operating
effectiveness of such systems.
A multilevel network model was proposed [7]. The model
consists of: the material network, the informational network,
and the financial network. The multiple decision-makers use
multiple criteria as quantity, time and cost. The efficient
frontier of solutions can be identified. This network model
is appropriate for analysing system dynamics. It can be for-
mulated as a broad class of dynamic supply network prob-
lems. Dynamic behaviour of orders, inventories, prices and
costs at different stages of supply network can be analysed.
The so-called bullwhip effect [5,2], describing growing
variation upstream in a supply chain, is probably the most
famous demonstration of system dynamics in supply chains.
The basic phenomenon is not new and has been recognised
by Forrester [4]. There are some known causes [5,2], of the
bullwhip effect: information asymmetry, demand forecast-
ing, lead-times, batch ordering, supply shortages and price
variations. Information sharing of customer demand has an
impact on the bullwhip effect.
The analyses of causes and suggestions for reducing the
bullwhip effect in supply chains are challenges to modelling
techniques. We consider a k-stages supply chain. The cus-
tomer demands are independent and identically distributed
random variables. The last stage observes customer demand
D and places an order q to previous stage. All stages place
orders to the previous stage in the chain. The orders are re-
ceived with lead-times Li between stages i and i + 1. The
stages use the moving average forecast model with p obser-
vations. To quantify increase in variability, it is necessary to
determine the variance of orders qk relative to the variance
of demands D.
In the case of decentralised information the variance in-
crease is multiplicative at each stage of the supply chain
Var(qk)
Var(D)
k
i=1
1 +
2Li
p
+
2L2
i
p2
.
In the case of centralised information, i.e. the last stage pro-
vides every stage of the supply chain with complete informa-
tion on customer demand, the variance increase is additive:
Var(qk)
Var(D)
1 +
2( k
i=1 Li)
p
+
2( k
i=1 Li)2
p2
.
The centralised solution can be used as a benchmark, but
the bullwhip effect is not completely eliminated.
3. Modelling of system dynamics
The structure of supply chains and relations in among
units can be modelled by different types of networks.
AND/OR networks can be applied for modelling flexible
and dynamic supply chains [8]. The approach follows an
activity on arc representation where each arc corresponds
P. Fiala / Omega 33 (2005) 419–423 421
to a particular supply chain activity. Each activity has multi-
ple performance criteria. Nodes represent completion of ac-
tivities and establish precedent constraints among activities.
The initial suppliers without predecessors and end customers
without successors are represented by nodes displayed as
circles. Two types of nodes are defined to specifying prior
activities. AND nodes are nodes for which all the activities
must be accomplished before the outgoing activities can be-
gin. OR nodes require that at least one of the incoming ac-
tivities be finished before the outgoing activities can begin.
The STELLA software is one of several computer appli-
cations created to implement concepts of system dynamics
[9]. It combines together the strengths of an iconographic
programming style and the speed and versatility of comput-
ers. The instrument is very appropriate to proposed mod-
elling framework for dynamic multilevel supply network.
The STELLA language consists of four basic building
and one space-saving tool. The four building blocks are:
Stock, represent something that accumulates.
Flow, activity that changes magnitude of stock.
Converter, modifies an activity.
Connector, transmits inputs and information.
Fig. 1 shows the icons of building blocks. This approach
enables to model and to solve a broad class of dynamic
problems. Differential equation can be used for modelling
of system dynamics. STELLA software offers the numerical
STOCK
CONVERTER
FLOW
CONNECTOR
Fig. 1. Building blocks of STELLA language.
Fig. 2. Supply network by STELLA.
techniques (Eller’s method, Runge–Kutta-2 and Runge–
Kutta-4 methods) to solve the model equations.
STELLA software contains many built-in functions
that can facilitate dynamic modelling of supply networks
(Fig. 2). There are some examples of instruments for pro-
posed modelling approach;
AND/OR to modelling of AND/OR network environment,
DELAY to modelling of lead-times,
DT time step,
FORCST forecasts demand in stages of supply chain,
RANDOM generates random customer demand.
As an example of dynamic problem, a stochastic inven-
tory problem can be analysed with the finite time horizon.
AND/OR supply network consists of a structure of suppli-
ers, different production modes, an assembly of components
and production of an end product to a customer. We can
describe the behaviour of the network decision-makers and
propose a dynamic system that captures the adjustments of
the commodity shipments and the prices over space and
time. The bullwhip effect can be demonstrated by compar-
ison of random customer demand and orders in different
stages of the supply network by decentralised information.
Centralised information of customer demand can reduce the
bullwhip effect.
4. Modelling of cooperation in supply chains
The layers of producers and retailers compete in a
non-cooperative way, but the partners in individual supply
chains can profit from cooperative decision making. The
strategic partnership means cooperation and coordination of
actions through the supply chain. The strategic partnerships
change material, financial and information flows among
422 P. Fiala / Omega 33 (2005) 419–423
participants in the supply chain. The way of information
sharing is changed by information centralising using infor-
mation technology. The expected result is mutually benefi-
cial, win–win partnership that creates a synergistic supply
chain in which the entire chain is more effective than the
sum of its individual parts. Supply chain partnership leads
to increased information flows, reduced uncertainty, and a
more profitable supply chain.
The general supplier–customer relations in supply chain
can be taken as centralised or decentralised [7]. The partner-
ship relations are based on supply contracts. Contracts pro-
vide a means for bringing the decentralised solution to the
centralised solution. Contracts also facilitate long-term part-
nership by delineating mutual concessions that favour the
persistence of the relationship, as well as specifying penal-
ties for non-cooperative behaviour. The contracts are evalu-
ated by multiple criteria as price, quantity, costs, time and
quality. There are different approaches to modelling multi-
criteria negotiation processes to reach a consensus among
partners. A cooperative decision making requires free com-
munication among agents and gives synergical effects in a
conflict resolution. The basic trend in the cooperative de-
cision making is to transform a possible conflict to a joint
problem.
Some basic ideas of formal approaches of problem solv-
ing can be introduced to cooperative decision making. There
are two aspects of the problem solving—representation and
searching. The state space representation introduces the con-
cepts of states and operators. An operator transforms one
state into another state. A solution could be obtained by a
search process that first applies operators to the initial state
to produce new states and so on, until the goal state is pro-
duced. Communication between producers and retailers can
be provided through information sharing (see Fig. 3).
The proposed model is a discrete dynamic model and the
cooperation of units is based on contracts and formal agree-
ments achieved in negotiation process. We propose a two
phases’ interactive approach for solving cooperative deci-
sion making problems [10]:
1. Finding the ideal solution for individual agents.
2. Finding a consensus for all the agents.
In the first phase every decision maker search the ideal al-
ternative by the assertivity principle. In the second phase a
consensus could be obtained by the search process and the
principle of cooperativeness is applied. The heuristic infor-
mation for the decision making unit is the distance between
his proposal and the opponent’s proposal.
The negotiation process modelling in general is a complex
problem based on several kernel ideas. The framework [7]
of the proposed discrete dynamic model is separated to three
parts
• deterministic part,
• logical part,
• stochastic part.
Producer’s i
Shared
information
- information
representation
Joint problem
representation - tools
Coordinator
- information
Producer i
- tools
problem
Retailer’s j
- information
Retailer j
problem
representation
- tools
Fig. 3. Communication through information sharing.
According to these three parts the modelling framework is
composed of three inter-related network structures
• flow network,
• Petri network,
• neural network.
The flow network represents the supply chain network with
information, material and financial flows between partners.
The Petri network is used to coordinate asynchronous events
of different units in the supply chain and to model negoti-
ation process. The neural network serves as an instrument
for inductive learning of negotiation strategies.
Producers and retailers in individual supply chains nego-
tiate contracts about prices, quantities, costs, time, etc. The
double marginalisation problem can be generalised and pro-
ducers and retailers negotiate the profit-sharing contracts.
5. Conclusions
Supply chain management has generated a substantial
amount of interest both among managers and researchers.
The interest has also been fuelled by the growth in the de-
velopment and application of e-business technologies. E-
business is associated with business models and practices
enabling continuous improvements in supply chains. Supply
chain management is more and more affected by network
and dynamic business environment and by information and
communication technologies. The network economy is char-
acterised by massive global connectivity relationship among
economic subjects.
The paper is devoted to modelling of supply chain dynam-
ics. In the model some important features of this environ-
ment are established. The combination of network structure
modelling and simulation of dynamic behaviour of units in
supply chain can be a powerful instrument of performance
analysis of supply chains. Multicriteria analysis of supply
chain performance includes criteria such as quantity, time,
cost and profit. Simulation approach by STELLA software
is an appropriate tool for prediction of real supply chain
situation. The partners in supply chains can profit from
cooperative decision making. The combination of non-
cooperative and cooperative behaviour of network users is
more realistic.
P. Fiala / Omega 33 (2005) 419–423 423
The proposed modelling framework is composed from
three inter-related network structures: a production net, a
Petri net and a neural net. The production net captures infor-
mation flows among agents. Petri net is used to coordinate
asynchronous events of different units in network produc-
tion systems and to model negotiation process. The neural
net serves as an instrument for inductive learning of nego-
tiation strategies.
Acknowledgements
The research project was supported by Grant No.
402/01/0771 from the Grant Agency of Czech Republic
“Modeling of Supply Chains” and CEZ: J 18/98: 311401001
from the University of Economics “Models and Methods
for Economic Decisions”.
References
[1] Simchi-Levi D, Kaminsky P, Simchi-Levi E. Designing and
managing the supply chain: concepts strategies and case
studies. Homewood, IL/New York: Irwin/McGraw-Hill; 1999.
[2] Tayur S, Ganeshan R, Magazine M. Quantitative models for
supply chain management. Dordrecht: Kluwer; 1999.
[3] de Souza R, Song Z, Chaoyang L. Supply chain
dynamics and optimization. Integrated Manufacturing Systems
2000;11(5):348–64.
[4] Forrester JW. Industrial dynamics. Cambridge, MA: MIT
Press; 1961.
[5] Lee HL, Padmanabhan V, Whang S. Information distortion
in a supply chain: the bullwhip effect. Management Science
1997;43:546–58.
[6] Swaminathan J, Smith S, Sadeh N. Modeling supply
chain dynamics: a multiagent approach. Decision Sciences
1998;29(3):607–32.
[7] Fiala P. Modeling of relations in supply chains, Vision: The
Journal of Business Perspective. Special Issue on Supply
Chain Management 2003;7:127–31.
[8] Zeng DD. Managing flexibility for inter-organizational
electronic commerce. Electronic Commerce Research
2001;1(1–2):33–51.
[9] Ruth M, Hannon B. Modeling dynamic economic systems.
Berlin: Springer; 1997.
[10] Fiala P. Models of cooperative decision making. In: Gal T,
Fandel G., editors. Multiple criteria decision making. Berlin:
Springer; 1997.

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Information sharing in supply chains

  • 1. Omega 33 (2005) 419–423 www.elsevier.com/locate/omega Information sharing in supply chains P. Fiala University of Economics, Prague, Czech Republic Accepted 29 June 2004 Available online 15 September 2004 Abstract Supply chain is defined as a system of suppliers, manufacturers, distributors, retailers and customers where material, financial and information flows connect participants in both directions. Most supply chains are composed of independent agents with individual preferences. It is expected that no single agent has the power to optimise the supply chain. Supply chain management is now seen as a governing element in strategy and as an effective way of creating value for customers. The so-called bullwhip effect, describing growing variation upstream in a supply chain, is probably the most famous demonstration that decentralised decision making can lead to poor supply chain performance. Information asymmetry is one of the most powerful sources of the bullwhip effect. Information sharing of customer demand has an impact on the bullwhip effect. Information technology has lead to centralised information, shorter lead times and smaller batch sizes. The analysis of causes of the bullwhip effect has lead to suggestions for reducing the bullwhip effect in supply chains by strategic partnership. Supply chain partnership leads to increased information flows, reduced uncertainty, and a more profitable supply chain. The cooperation is based on contacts and formal agreements. Information exchange is very important issue for coordinating actions of units. New business practices and information technology make the coordination even closer. Information sharing and strategic partnerships of units can be modelled by different network structures. ᭧ 2004 Elsevier Ltd. All rights reserved. Keywords: Supply chain; System dynamics; Bullwhip effect; Information sharing; Cooperation 1. Supply chain management Supply chain management has generated a substantial amount of interest both among managers and researchers. Supply chain management is now seen as a governing ele- ment in strategy and as an effective way of creating value for customers. Supply chain management benefits from a variety of concepts that were developed in several different disciplines as marketing, information systems, economics, system dynamics, logistics, operations management, and op- erations research. There are many concepts and strategies applied in designing and managing supply chains [1]. The expanding importance of supply chain integration presents a challenge to research to focus more attention on supply E-mail address: pfiala@vse.cz (P. Fiala). 0305-0483/$ - see front matter ᭧ 2004 Elsevier Ltd. All rights reserved. doi:10.1016/j.omega.2004.07.006 chain modelling [2]. A structure of supply chains is com- posed from potential suppliers, producers, distributors, re- tailers and customers etc. The units are interconnected by material, financial, information and decisional flows. Most supply chains are composed of independent units with in- dividual preferences. Each unit will attempt to optimise his own preference. Behaviour that is locally efficient can be inefficient from a global point of view. In supply chain be- haviour are many inefficiencies. An increasing number of companies in the world subscribe to the idea that develop- ing long-term coordination and cooperation can significantly improve the efficiency of supply chains and provide a way to ensure competitive advantage. The overall business environment is becoming increas- ingly dynamic. Demand and supply for custom products can be very dynamic. Supply chains operate in a network
  • 2. 420 P. Fiala / Omega 33 (2005) 419–423 environment. Dynamic information and decision-making models are called to accommodate these changes and uncer- tainties. There are some approaches to model and analyse the supply chain dynamics. AND/OR networks are capable of capture a variety of activities and decisions and can be used by decision-makers to evaluate the efficiency of cur- rent operations and to coordinate supply chain activities. Dynamic models use concepts of state variables, flows, and feedback processes and can be developed and simulated with help of STELLA software, where graphical tools are utilised. Dynamic models of supply chains try to reflect changes in real or simulated time and take into account that the network model components are constantly evolving. An information asymmetry is a source of inefficiency in supply. Information exchange is a very important issue for coordinating actions of units. The proposed modelling framework is composed from three inter-related network structures: a production net, Petri net and a neural net. The production net captures information flows among agents. The Petri net is used to coordinate asynchronous events of different units in network production systems and to model negotiation process. The neural net serves as an instrument for inductive learning of negotiation strategies. The expected result is a mutually beneficial, win-win part- nership that creates a synergistic supply chain in which the entire chain is more effective than the sum of its individual parts. Supply chain partnership leads to increased informa- tion flows, reduced uncertainty, and a more profitable supply chain. The ultimate customer will receive a higher quality, cost-effective product in a shorter amount of time. 2. System dynamics System dynamics is concerned with problem solving in living systems [3–6]. It links together hard control theory with soft system theory. System dynamics needs relevant tools from both ends of the systems spectrum. If the possible causal factors are identified and their respective contribu- tion to the overall dynamics are quantitatively measured and benchmarked, then it would be conducive to performance improvement by eliminating or reducing the relevant dy- namics. The performance improvement is also predictable with the help of the dynamics benchmark. Systems of in- formation feedback control are fundamental to all systems. Feedback theory explains how decisions, delays and predic- tions can produce either good control or dramatically unsta- ble operation. The supply chain dynamics lead to the increase in the cost of the units and the whole chain. A feedback control system causes a decision, which in turn affects the original environment. In supply chains, orders and inventory levels lead to manufacturing decisions that fill orders and correct inventories. As a consequence of using system dynamics in supply chain redesign, we are able to generate added insight into system dynamic behaviour and particularly into underlying causal relationships. This new knowledge can be exploited in the improved design, robustness and operating effectiveness of such systems. A multilevel network model was proposed [7]. The model consists of: the material network, the informational network, and the financial network. The multiple decision-makers use multiple criteria as quantity, time and cost. The efficient frontier of solutions can be identified. This network model is appropriate for analysing system dynamics. It can be for- mulated as a broad class of dynamic supply network prob- lems. Dynamic behaviour of orders, inventories, prices and costs at different stages of supply network can be analysed. The so-called bullwhip effect [5,2], describing growing variation upstream in a supply chain, is probably the most famous demonstration of system dynamics in supply chains. The basic phenomenon is not new and has been recognised by Forrester [4]. There are some known causes [5,2], of the bullwhip effect: information asymmetry, demand forecast- ing, lead-times, batch ordering, supply shortages and price variations. Information sharing of customer demand has an impact on the bullwhip effect. The analyses of causes and suggestions for reducing the bullwhip effect in supply chains are challenges to modelling techniques. We consider a k-stages supply chain. The cus- tomer demands are independent and identically distributed random variables. The last stage observes customer demand D and places an order q to previous stage. All stages place orders to the previous stage in the chain. The orders are re- ceived with lead-times Li between stages i and i + 1. The stages use the moving average forecast model with p obser- vations. To quantify increase in variability, it is necessary to determine the variance of orders qk relative to the variance of demands D. In the case of decentralised information the variance in- crease is multiplicative at each stage of the supply chain Var(qk) Var(D) k i=1 1 + 2Li p + 2L2 i p2 . In the case of centralised information, i.e. the last stage pro- vides every stage of the supply chain with complete informa- tion on customer demand, the variance increase is additive: Var(qk) Var(D) 1 + 2( k i=1 Li) p + 2( k i=1 Li)2 p2 . The centralised solution can be used as a benchmark, but the bullwhip effect is not completely eliminated. 3. Modelling of system dynamics The structure of supply chains and relations in among units can be modelled by different types of networks. AND/OR networks can be applied for modelling flexible and dynamic supply chains [8]. The approach follows an activity on arc representation where each arc corresponds
  • 3. P. Fiala / Omega 33 (2005) 419–423 421 to a particular supply chain activity. Each activity has multi- ple performance criteria. Nodes represent completion of ac- tivities and establish precedent constraints among activities. The initial suppliers without predecessors and end customers without successors are represented by nodes displayed as circles. Two types of nodes are defined to specifying prior activities. AND nodes are nodes for which all the activities must be accomplished before the outgoing activities can be- gin. OR nodes require that at least one of the incoming ac- tivities be finished before the outgoing activities can begin. The STELLA software is one of several computer appli- cations created to implement concepts of system dynamics [9]. It combines together the strengths of an iconographic programming style and the speed and versatility of comput- ers. The instrument is very appropriate to proposed mod- elling framework for dynamic multilevel supply network. The STELLA language consists of four basic building and one space-saving tool. The four building blocks are: Stock, represent something that accumulates. Flow, activity that changes magnitude of stock. Converter, modifies an activity. Connector, transmits inputs and information. Fig. 1 shows the icons of building blocks. This approach enables to model and to solve a broad class of dynamic problems. Differential equation can be used for modelling of system dynamics. STELLA software offers the numerical STOCK CONVERTER FLOW CONNECTOR Fig. 1. Building blocks of STELLA language. Fig. 2. Supply network by STELLA. techniques (Eller’s method, Runge–Kutta-2 and Runge– Kutta-4 methods) to solve the model equations. STELLA software contains many built-in functions that can facilitate dynamic modelling of supply networks (Fig. 2). There are some examples of instruments for pro- posed modelling approach; AND/OR to modelling of AND/OR network environment, DELAY to modelling of lead-times, DT time step, FORCST forecasts demand in stages of supply chain, RANDOM generates random customer demand. As an example of dynamic problem, a stochastic inven- tory problem can be analysed with the finite time horizon. AND/OR supply network consists of a structure of suppli- ers, different production modes, an assembly of components and production of an end product to a customer. We can describe the behaviour of the network decision-makers and propose a dynamic system that captures the adjustments of the commodity shipments and the prices over space and time. The bullwhip effect can be demonstrated by compar- ison of random customer demand and orders in different stages of the supply network by decentralised information. Centralised information of customer demand can reduce the bullwhip effect. 4. Modelling of cooperation in supply chains The layers of producers and retailers compete in a non-cooperative way, but the partners in individual supply chains can profit from cooperative decision making. The strategic partnership means cooperation and coordination of actions through the supply chain. The strategic partnerships change material, financial and information flows among
  • 4. 422 P. Fiala / Omega 33 (2005) 419–423 participants in the supply chain. The way of information sharing is changed by information centralising using infor- mation technology. The expected result is mutually benefi- cial, win–win partnership that creates a synergistic supply chain in which the entire chain is more effective than the sum of its individual parts. Supply chain partnership leads to increased information flows, reduced uncertainty, and a more profitable supply chain. The general supplier–customer relations in supply chain can be taken as centralised or decentralised [7]. The partner- ship relations are based on supply contracts. Contracts pro- vide a means for bringing the decentralised solution to the centralised solution. Contracts also facilitate long-term part- nership by delineating mutual concessions that favour the persistence of the relationship, as well as specifying penal- ties for non-cooperative behaviour. The contracts are evalu- ated by multiple criteria as price, quantity, costs, time and quality. There are different approaches to modelling multi- criteria negotiation processes to reach a consensus among partners. A cooperative decision making requires free com- munication among agents and gives synergical effects in a conflict resolution. The basic trend in the cooperative de- cision making is to transform a possible conflict to a joint problem. Some basic ideas of formal approaches of problem solv- ing can be introduced to cooperative decision making. There are two aspects of the problem solving—representation and searching. The state space representation introduces the con- cepts of states and operators. An operator transforms one state into another state. A solution could be obtained by a search process that first applies operators to the initial state to produce new states and so on, until the goal state is pro- duced. Communication between producers and retailers can be provided through information sharing (see Fig. 3). The proposed model is a discrete dynamic model and the cooperation of units is based on contracts and formal agree- ments achieved in negotiation process. We propose a two phases’ interactive approach for solving cooperative deci- sion making problems [10]: 1. Finding the ideal solution for individual agents. 2. Finding a consensus for all the agents. In the first phase every decision maker search the ideal al- ternative by the assertivity principle. In the second phase a consensus could be obtained by the search process and the principle of cooperativeness is applied. The heuristic infor- mation for the decision making unit is the distance between his proposal and the opponent’s proposal. The negotiation process modelling in general is a complex problem based on several kernel ideas. The framework [7] of the proposed discrete dynamic model is separated to three parts • deterministic part, • logical part, • stochastic part. Producer’s i Shared information - information representation Joint problem representation - tools Coordinator - information Producer i - tools problem Retailer’s j - information Retailer j problem representation - tools Fig. 3. Communication through information sharing. According to these three parts the modelling framework is composed of three inter-related network structures • flow network, • Petri network, • neural network. The flow network represents the supply chain network with information, material and financial flows between partners. The Petri network is used to coordinate asynchronous events of different units in the supply chain and to model negoti- ation process. The neural network serves as an instrument for inductive learning of negotiation strategies. Producers and retailers in individual supply chains nego- tiate contracts about prices, quantities, costs, time, etc. The double marginalisation problem can be generalised and pro- ducers and retailers negotiate the profit-sharing contracts. 5. Conclusions Supply chain management has generated a substantial amount of interest both among managers and researchers. The interest has also been fuelled by the growth in the de- velopment and application of e-business technologies. E- business is associated with business models and practices enabling continuous improvements in supply chains. Supply chain management is more and more affected by network and dynamic business environment and by information and communication technologies. The network economy is char- acterised by massive global connectivity relationship among economic subjects. The paper is devoted to modelling of supply chain dynam- ics. In the model some important features of this environ- ment are established. The combination of network structure modelling and simulation of dynamic behaviour of units in supply chain can be a powerful instrument of performance analysis of supply chains. Multicriteria analysis of supply chain performance includes criteria such as quantity, time, cost and profit. Simulation approach by STELLA software is an appropriate tool for prediction of real supply chain situation. The partners in supply chains can profit from cooperative decision making. The combination of non- cooperative and cooperative behaviour of network users is more realistic.
  • 5. P. Fiala / Omega 33 (2005) 419–423 423 The proposed modelling framework is composed from three inter-related network structures: a production net, a Petri net and a neural net. The production net captures infor- mation flows among agents. Petri net is used to coordinate asynchronous events of different units in network produc- tion systems and to model negotiation process. The neural net serves as an instrument for inductive learning of nego- tiation strategies. Acknowledgements The research project was supported by Grant No. 402/01/0771 from the Grant Agency of Czech Republic “Modeling of Supply Chains” and CEZ: J 18/98: 311401001 from the University of Economics “Models and Methods for Economic Decisions”. References [1] Simchi-Levi D, Kaminsky P, Simchi-Levi E. Designing and managing the supply chain: concepts strategies and case studies. Homewood, IL/New York: Irwin/McGraw-Hill; 1999. [2] Tayur S, Ganeshan R, Magazine M. Quantitative models for supply chain management. Dordrecht: Kluwer; 1999. [3] de Souza R, Song Z, Chaoyang L. Supply chain dynamics and optimization. Integrated Manufacturing Systems 2000;11(5):348–64. [4] Forrester JW. Industrial dynamics. Cambridge, MA: MIT Press; 1961. [5] Lee HL, Padmanabhan V, Whang S. Information distortion in a supply chain: the bullwhip effect. Management Science 1997;43:546–58. [6] Swaminathan J, Smith S, Sadeh N. Modeling supply chain dynamics: a multiagent approach. Decision Sciences 1998;29(3):607–32. [7] Fiala P. Modeling of relations in supply chains, Vision: The Journal of Business Perspective. Special Issue on Supply Chain Management 2003;7:127–31. [8] Zeng DD. Managing flexibility for inter-organizational electronic commerce. Electronic Commerce Research 2001;1(1–2):33–51. [9] Ruth M, Hannon B. Modeling dynamic economic systems. Berlin: Springer; 1997. [10] Fiala P. Models of cooperative decision making. In: Gal T, Fandel G., editors. Multiple criteria decision making. Berlin: Springer; 1997.