Understanding and attenuating the complexity catastrophe in Kauffman'sN K model of genome evolution

Solow, Daniel; Burnetas, Apostolos; Tsai, Ming-Chi; Greenspan, Neil S.

doi:10.1002/(sici)1099-0526(199909/10)5:1<53::aid-cplx9>3.0.co;2-w

Cited by 24 publications

(23 citation statements)

References 22 publications

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“…Kauffman referred to this phenomenon of decreasing performance associated with increasing interdependence as the complexity catastrophe. A formal explanation of the causes of the complexity catastrophe, as well as ways to attenuate it, are presented in Solow et al (1999b). Modifications and extensions to the NK model are found in Solow et al (1999a) and Solow et al (2000).…”

Section: The Nk Model and Its Application To Teamsmentioning

confidence: 99%

Mathematical Models for Studying the Value of Motivational Leadership in Teams

Solow

Piderit

Burnetas

et al. 2005

Comput Math Organiz Theor

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Mathematical models are presented for studying the value of leadership in a team where the members interact with each other. The models are based on a leader's role of motivating each team member to perform closer to his/her maximum ability. These models include controllable parameters whose values reflect the amount of task interdependence among the workers as well as the motivational skill and variability in the skill of the leader. Confirming results-such as the fact that the skill level of the leader is a critical factor in the expected performance of the team-establish credibility in the models. Mathematical analysis and computer simulations are used to provide new managerial insights into the value of the leader-such as the fact that the skill of the leader can be more important than controlling the amount of interdependence among the team members and that having a choice of multiple leaders with no particular motivating skill is beneficial to the performance of small teams but not to large teams.

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Section: The Nk Model and Its Application To Teamsmentioning

confidence: 99%

Mathematical Models for Studying the Value of Motivational Leadership in Teams

Solow

Piderit

Burnetas

et al. 2005

Comput Math Organiz Theor

Self Cite

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“…Additionally, in NPD projects, managers and engineers typically have some knowledge regarding how a change to one component will affect other components. Therefore, structured (Solow et al, 1999) and weighted interdependencies (e.g. Pimmler and Eppinger 1994) could be modeled and explored in the context of co-evolutionary design projects.…”

Section: Resultsmentioning

confidence: 99%

“…This method of assigning fitness values to the dependent components specifies that changes in the dependent components are proportional to the change in the focal component, and is closely aligned with the notion of structured dependence between components introduced by Solow et al (1999). Proportionality, in their model, is defined based on the ratio of the actual change to the maximum possible change toward either extreme (zero or one).…”

Section: Complementary and Conflicting Dependenciesmentioning

confidence: 99%

“…Using this method of assigning fitness values to dependent components, Solow et al (1999) showed that increases in the value of K do not lead to a complexity catastrophe. A complexity catastrophe is the effect of higher complexity (K) leading to increasingly rugged landscapes with local peaks that proliferate in number and are less differentiated from the overall landscape (Kauffman, 1993).…”

Section: Complementary and Conflicting Dependenciesmentioning

confidence: 99%

“…We follow Solow et al's (1999) NK/D model of structured dependency with one exception-we omit the distance factor which they calculate as | |, or the number of components separating component i from component j.…”

Section: Introducing Complementary and Conflicting Dependenciesmentioning

confidence: 99%

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Modeling Complexity in New Product Development: Decisions and Dependencies in Team-Based Design Projects

Oyama

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I would like to thank my parents for teaching me to work hard, believing in me, and providing me with great examples to follow.To our children, Shelby and Jacob, thank you for your understanding and encouragement. I pray that each of you is fortunate enough to find your passions and talents in this life and that you will bless the lives of many.My wife, Michelle, provided me with unfaltering support during this journey called graduate school. She believed in me even when, at times, I did not. I am profoundly grateful for her steadfast love and encouragement. There is no one else with whom I would want to spend an eternity of tomorrows.Finally, I wish to acknowledge the source of all knowledge and truth, our Heavenly Father.Ultimately, His blessings and divine intervention made it possible for me to learn not only about the topic of my research, but learn more about myself and how to become a better instrument in His hands.ii AbstractNew product development (NPD) is a key activity for generating and sustaining a competitive advantage for firms. Many business processes aim for standardization and repeatability (e.g. manufacturing) and can be modeled using "paths" or sequences of events. However, in NPD, the analogy of a "path" is less applicable because there are many interdependent and multidisciplinary tasks, many of which are novel. This dissertation explores the issue of how to model the NPD process. Particular attention is devoted to examination of the NK model-a popular model of interdependent nodes in a network-and its applicability as a potential framework for modeling NPD activity. First, the assumptions that underpin the NK model are reviewed. Several of these assumptions are not congruent with real world NPD. The NK model is then adapted to account for experimentation costs and exploration of the design space. It is shown how the search for a better product configuration is moderated by these two factors. Next, the NK model is extended for NPD by incorporating two realities of NPD management: 1) generally, knowledge exists regarding whether a dependency between components is complementary or conflicting in nature and 2) the outcome of design changes are uncertain, but not entirely random. It is shown that the nature of dependencies within a system is more important than the sheer number dependencies or interactions in a system. It is also shown that product improvements are less rapid than the original NK model would suggest. Lastly, the organizational structure of an NPD project is analyzed to assess its impact on the modeling of such a project. It is shown that the co-evolutionary nature of multiple, interdependent teams are more appropriately modeled using the NKC model, a variant of the original NK model. It is shown that the degree to which teams are coupled has a significant influence on project outcomes-a result that is not evident with the original NK model. A heuristic that helps to overcome the unstable nature of tightly coupled design teams is proposed. A discussion of the theoretical and man...

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Interorganizational Complexity and Computation

Sorenson¹

2017

The Blackwell Companion to Organizations

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Understanding and attenuating the complexity catastrophe in Kauffman'sN K model of genome evolution

Cited by 24 publications

References 22 publications

Mathematical Models for Studying the Value of Motivational Leadership in Teams

Mathematical Models for Studying the Value of Motivational Leadership in Teams

Modeling Complexity in New Product Development: Decisions and Dependencies in Team-Based Design Projects

Interorganizational Complexity and Computation

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