In Pursuit of a Design Mathematics: Generalizing the Labeled Interval Calculus

Habib, Walid; Ward, Allen C.

doi:10.1115/detc1991-0060

Cited by 7 publications

(3 citation statements)

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Section: In Which Allenmentioning

confidence: 99%

“…developed. [36][37][38] In 1997, the research began to move away from LIC to a more generalized framework that is used in computer science and operations research which is the constraint satisfaction problem (CSP) 32 utilizing the IPT. 39 The development of SBCE management principles was a result of several studies conducted by Allen Ward, Jeffery Liker, John Cristiano, and Durward Sobek.…”

Section: In Which Allenmentioning

confidence: 99%

“…In the early 1990s, Allen Ward pursued two paths for SBD: (1) quantitative inference methods and (2) management principles. For quantitative inference mechanisms Ward and colleagues further expanded upon methods for LIC 34–36 in which generalized LIC methods were developed 36–38 . In 1997, the research began to move away from LIC to a more generalized framework that is used in computer science and operations research which is the constraint satisfaction problem (CSP) 32 utilizing the IPT 39 …”

Section: Introductionmentioning

confidence: 99%

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Survey on set‐based design (SBD) quantitative methods

Dullen

Verma

Blackburn

et al. 2021

Systems Engineering

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Product development efforts now more than ever are in need of methodologies that can address the challenges of increased system complexities, shortening time to market, increased demands in mass customization, market instabilities, geographical barriers, improved innovation, and adaptability to emerging technologies. To address these challenges most companies will need to make key decisions early in the product development life-cycle. In this early phase there are high levels of information uncertainty and information ambiguity. Under these circumstances many companies will converge too early to a point design (Point Based Design-PBD) which will lead to increased cost and schedule delays due to reworking the design later in the product development life cycle. To overcome these challenges many researchers have proposed the Set-Based Design (SBD) methodology. However, there has been limited guidance on how to define, reason, and narrow sets while improving the level of abstraction of the design.To address such concerns, a literature review was conducted. The contributions of this research include: (1) aggregated literature from over 100 sources on quantitative methods (QM) that has not been considered SBD but does support set-based thinking,(2) consolidated body of knowledge on QM to help industrial practitioners implement SBD, (3) defined gaps and opportunities for future research, and (4) defined strengths and limitations of QM and techniques to define, reason and narrow sets.

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Section: In Which Allenmentioning

confidence: 99%

Section: In Which Allenmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Survey on set‐based design (SBD) quantitative methods

Dullen

Verma

Blackburn

et al. 2021

Systems Engineering

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Novel space-based design methodology for preliminary engineering design

Nahm

Ishikawa

2005

Int J Adv Manuf Technol

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This work is motivated from set-based concurrent engineering (SBCE) paradigm. In contrast to the traditional design practice, SBCE considers a broader range of design possibilities (i.e., design space) from the outset, explicitly communicates and reasons about sets of design alternatives, and gradually narrows the sets to eliminate inferior alternatives until a final solution remains. Thus, the key to success of SBCE is the proper implementation of the space representation method to define the possible design region, the space mapping method to obtain the performance space achievable by the initial design space, and the space narrowing method to eliminate infeasible subspaces from the initial design space. This paper proposes a novel spacebased design methodology for preliminary engineering design. The main characteristic features of our approach are to incorporate the designer's preference structure with degrees of desirability in specifying both design space and performance space, and to find a ranged set of design solutions that satisfy changing sets of performance requirements through set-to-set space mapping from design space to performance space and space narrowing to eliminate infeasible design subspaces. Central to the proposed design methodology is the integration of meta-modeling techniques, modified fuzzy arithmetic, design of experiment (D o E), robust design techniques, and uncertainty analysis. A preliminary parametric design example of a vehicle side impact beam is demonstrated to show the effectiveness of the proposed methodology and its availability in the large-scale multi-objective design synthesis problem.Keywords Fuzzy arithmetic · Measure of uncertainty · Robust and flexible design · Set-based concurrent engineering · Simulation-based design

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Generalizing Interval Matrix Operations for Design

Chen

Ward

1997

Journal of Mechanical Design

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In Pursuit of a Design Mathematics: Generalizing the Labeled Interval Calculus

Cited by 7 publications

References 0 publications

Survey on set‐based design (SBD) quantitative methods

Survey on set‐based design (SBD) quantitative methods

Novel space-based design methodology for preliminary engineering design

Generalizing Interval Matrix Operations for Design

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