A Network Approach to Define Modularity of Components in Complex Products

Modularity has been defined at the product and system levels. However, little effort has gone into defining and quantifying modularity at the component level. We consider complex products as a network of components that share technical interfaces (or connections) in order to function as a whole and define component modularity based on the lack of connectivity among them. Building upon previous work in graph theory and social network analysis, we define three measures of component modularity based on the notion of centrality. Our measures consider how components share direct interfaces with adjacent components, how design interfaces may propagate to nonadjacent components in the product, and how components may act as bridges among other components through their interfaces. We calculate and interpret all three measures of component modularity by studying the product architecture of a large commercial aircraft engine. We illustrate the use of these measures to test the impact of modularity on component redesign. Our results show that the relationship between component modularity and component redesign depends on the type of interfaces connecting product components. We also discuss directions for future work. DOI: 10.1115/1.2771182

• Publication year

  2007

• Venue

  Journal of Mechanical Design

• Publication date

  2007-11-01

• Fields of study

  Computer Science, Engineering

• Identifiers
  DOI 10.1115/1.2771182
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Social Network Analysis

  2011influential reference
• Product design and development

  2009cited by this paper
• Representation of similarity and dependency for assembly modularity

  2008cited by this paper
• The Development of Social Network Analysis: A Study in the Sociology of Science

  2008cited by this paper
• Who Shall Survive

  2007cited by this paper
• Component Connectivity, Team Network Structure and the Attention to Technical Interfaces in Complex Product Development

  2007cited by this paper
• Tradeoff between Modularity and Performance for Engineered Systems and Products

  2005cited by this paper
• Perspectives in Design: The Deacon’s Masterpiece and the Hundred-Year Aircraft, Spacecraft, and Other Complex Engineering Systems

  2005cited by this paper
• HIERARCHICAL MODULARITY: DECOMPOSITION OF FUNCTION STRUCTURES WITH THE MINIMAL DESCRIPTION LENGTH PRINCIPLE

  2005cited by this paper
• The Development of Social Network Analysis: A Study in the Sociology of Science, Linton C. Freeman. Empirical Press, Vancouver, BC (2004)

  2005cited by this paper
• Predictabilty of Change in Engineering: A Complexity View

  2005cited by this paper
• Design process improvement : a review of current practice

  2005cited by this paper
• Analysis of Decomposability and Complexity for Design Problems in the Context of Decomposition

  2005cited by this paper
• The Misalignment of Product Architecture and Organizational Structure in Complex Product Development

  2004cited by this paper
• The development of social network analysis : a study in the sociology of science

  2004cited by this paper
• Development of a Product Model to Support Engineering Change Management

  2004influential reference
• Characterizing complex product architectures

  2004cited by this paper
• Predicting change propagation in complex design

  2004influential reference
• Product modularity: measures and design methods

  2004cited by this paper
• Change and customisation in complex engineering domains

  2004cited by this paper
• Identifying Modular and Integrative Systems and Their Impact on Design Team Interactions

  2003cited by this paper
• Problem - Solving Oscillations in Complex Engineering Projects

  2003cited by this paper
• The Network Paradigm in Organizational Research: A Review and Typology

  2003cited by this paper
• Product modularity: Definitions and benefits

  2003cited by this paper
• Modeling impacts of process architecture on cost and schedule risk in product development

  2002cited by this paper
• Axiomatic Design: Advances and Applications

  2001cited by this paper
• Applying the design structure matrix to system decomposition and integration problems: a review and new directions

  2001cited by this paper
• Coping with changes : Causes, findings, and strategies

  2000cited by this paper
• Toward a General Modular Systems Theory and Its Application to Interfirm Product Modularity

  2000cited by this paper
• A heuristic method for identifying modules for product architectures

  2000cited by this paper
• Design Rules, Volume 1, The Power of Modularity

  2000influential reference
• MODULAR PRODUCT DESIGN : A LIFE-CYCLE VIEW

  1999cited by this paper
• Framework for Modeling Dependencies in Collaborative Engineering Processes

  1999cited by this paper
• Engineering Design: Products, Processes, and Systems

  1999cited by this paper
• Implications of Modularity on Product Design for the Life Cycle

  1998cited by this paper
• Classifying Functions for Mechanical Design

  1998cited by this paper
• Introduction to graph theory (4th edition), by Robin J. Wilson. Pp. 171. £14.99. 1996. ISBN : 0-582-24993-7 (Longman).

  1998cited by this paper
• Modularity, flexibility, and knowledge management in product and organization design

  1996cited by this paper
• Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates

  1996cited by this paper
• A Network Reliability Approach to Optimal Decomposition of Design Problems

  1995cited by this paper
• Introduction to Graph Theory

  1995cited by this paper
• Integration analysis of product decompositions

  1994cited by this paper
• A model-based method for organizing tasks in product development

  1994cited by this paper
• Architectural Innovation: The Reconfiguration of Existing Product Technologies and the Failure of

  1990cited by this paper
• Social Network Analysis

  1988cited by this paper
• Engineering a change

  1988cited by this paper
• Engineering Design: A Systematic Approach

  1984cited by this paper
• The design structure system: A method for managing the design of complex systems

  1981cited by this paper
• A Guide to Econometrics

  1980cited by this paper
• Centrality in social networks conceptual clarification

  1978influential reference
• A set of measures of centrality based upon betweenness

  1977influential reference
• Introduction to Graph Theory

  1972cited by this paper
• The Sciences of the Artificial

  1970cited by this paper
• Graph theory

  1969cited by this paper
• The centrality index of a graph

  1966cited by this paper
• Notes on the Synthesis of Form

  1965cited by this paper
• Group Structure and the Behavior of Individuals in Small Groups

  1954cited by this paper
• Who shall survive? : foundations of sociometry, group psychotherapy, and sociodrama

  1953cited by this paper
• A Mathematical Model for Group Structures

  1948cited by this paper

• An innovative modularization methodology for ETO products: case study on PLET structures

  2026cites this paper
• Architectural transformation and reliability optimisation in complex engineered systems: a hybrid design structure Matrix-Markov chain framework

  2026cites this paper
• Quantifying Knock-On Effects and Total Impact of Design Choices via Combined Sensitivity Analysis and Structural Equation Modeling Techniques

  2025cites this paper
• Method for modular restructuring of existing products: An application in a special machinery company

  2025cites this paper
• A method for module partition in undefined complex systems

  2025cites this paper
• Estimating the degree of architectural change from introduced innovations

  2025influential citation
• Module partition in weighted complex product graphs beyond the resolution limit

  2025cites this paper
• Exploring the Impact of Hand Dominance on Laparoscopic Surgical Skills Development Using Network Models

  2024cites this paper
• Network Theory and Global Sensitivity Analysis Framework for Navigating Insights From Complex Multidisciplinary Models

  2024cites this paper
• Computer-aided design as a research instrument for engineering design: supporting multiple methods by observing artifacts, actors, and actions

  2024cites this paper
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  2024cites this paper
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  2023cites this paper
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  2023cites this paper
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  2023cites this paper
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  2023cites this paper
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  2023cites this paper
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  2023cites this paper
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  2023cites this paper
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  2022cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2020cites this paper
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  2019cites this paper
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  2019cites this paper
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  2019cites this paper
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  2019cites this paper
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