Posted on

A Mathematical Theory of Design: Foundations, Algorithms and by D. Braha, O. Maimon

By D. Braha, O. Maimon

Formal layout thought (PDT) is a mathematical thought of layout. the most target of PDT is to strengthen a website self reliant center version of the layout method. The e-book focuses the reader's recognition at the procedure wherein rules originate and are built into practicable items. In constructing PDT, we've got been striving towards what has been expressed via the prestigious student Simon (1969): that "the technology of layout is feasible and a few day we can speak by way of well-established theories and practices. " The ebook is split into 5 interrelated elements. The conceptual procedure is gifted first (Part I); by way of the theoretical foundations of PDT (Part II), and from which the algorithmic and pragmatic implications are deduced (Part III). eventually, distinct case-studies illustrate the speculation and the tools of the layout procedure (Part IV), and extra useful issues are evaluated (Part V). The usual nature of the techniques, idea and techniques are demonstrated by way of examples from various disciplines. FDT explores concerns akin to: algebraic illustration of layout artifacts, idealized layout approach cycle, and computational research and dimension of layout procedure complexity and caliber. FDT's axioms show the assumptions of the speculation in regards to the nature of artifacts, and strength changes of the artifacts achieve wanted targets or performance. through with the ability to country those axioms explicitly, it's attainable to derive theorems and corollaries, in addition to to strengthen particular analytical and confident methodologies.

Show description

Read Online or Download A Mathematical Theory of Design: Foundations, Algorithms and Applications PDF

Similar system theory books

Control Theory and Systems Biology

A survey of the way engineering suggestions from regulate and platforms thought can be utilized to assist biologists comprehend the habit of mobile platforms.

Nonlinear Dynamics in Complex Systems: Theory and Applications for the Life-, Neuro- and Natural Sciences

With many components of technology achieving throughout their obstacles and turning into increasingly more interdisciplinary, scholars and researchers in those fields are faced with thoughts and instruments now not lined via their specific schooling. specifically within the lifestyles- and neurosciences quantitative versions in response to nonlinear dynamics and complicated structures have gotten as usually carried out as conventional statistical research.

Chaotic Logic: Language, Thought, and Reality from the Perspective of Complex Systems Science

This e-book summarizes a community of interrelated rules which i've got constructed, on and off, over the last 8 or ten years. The underlying subject matter is the mental interaction of order and chaos. Or, to place it differently, the interaction of deduction and induction. i'll attempt to clarify the connection among logical, orderly, unsleeping, rule-following cause and fluid, self­ organizing, habit-governed, subconscious, chaos-infused instinct.

Extra info for A Mathematical Theory of Design: Foundations, Algorithms and Applications

Sample text

Regardless of whether or not the adaptation model is a universal feature of artificial systems, it also has a heuristic value. Hence, we can often predict behavior from knowledge of the artifact's goals and its outer environment with only minimal assumptions about the inner environment. Ontogenetic design evolution refers to the design processes that share the 1 Ontogeny: The life history of an embryonic individual The evolutionary history of a lineage 2 Phylogeny: 30 A MATHEMATICAL THEORY OF DESIGN characteristic of observed evolutionary phenomenon which occurs between the time when a problem is assigned to the designer and the time the design is passed on to the manufacturer [22].

Each inter-stage iteration, however, results in changes that must propagate through the design stages, requiring intra-stage iteration at each stage. As opposed to the aforementioned design model, the ideal design process will, instead, consist of maximizing the inter-stage design iteration and minimizing the intra-stage design iteration. Maximizing Inter-Stage Design Iteration In a design model with no inter-stage iteration, design insights are always limited to the current design stage. Because of the inherent iterative nature of design, there has always been a need for design systems that support inter-stage iteration.

MA: MIT Press, 1981. 31. R. , Basic Questions of Design Theory. Amsterdam: North-Holland, 1972. 32. , The Principles of Design. New York: Oxford University Press, 1990. 33. Tong, C. and Sriram, D. ), Artificial Intelligence Approaches to Engineering Design, 1991. 34. , "Computation and Pre-Parametric Design," Technical Report 1043, MIT Artificial Intelligence Laboratory, 1988. 35. , et. , "Learning Physical Descriptions From Functional Definitions, Examples and Precedents," Memo 679, MIT, Artificial Intelligence Laboratory, 1983.

Download PDF sample

Rated 4.07 of 5 – based on 18 votes