By summarizing Khachiyan's algorithm and Karmarkar's algorithm forlinear program (LP) a unified methodology for the design of polynomial-time algorithms for LP is presented in this paper. A key concept is the so-called extended binary search (EBS) algorithm introduced by the author. It is used as a unified model to analyze the complexities of the existing modem LP algorithms and possibly, help ...

This paper discusses a mathematical concept of language that models both artificial and natural languages and thus provides a framework for a unified language processing methodology. This concept of a language is regarded as a communication tool that allows language users to develop knowledges, while interacting with their universe of discourse, and to communicate with each other, while exchang...

Checkland’s Soft Systems Methodology (SSM) can be used to support strategic planning for business improvement. This involves the development of system models to identify the activities that an organisation must perform to meet its goals. Jacobson’s Use-case modelling in the Unified Modelling Language (UML) is a requirements engineering technique that similarly leads to the identification of sys...

This paper discusses a new approach that will facilitate the use of simulation in the construction industry. Previous attempts in this regard have been hampered by the gap between the user and the simulation software, the power and flexibility of available tools, and the readiness of industry. A comprehensive new approach ~referred to as the Unified Modeling Methodology!, which addresses the co...

A unified methodology is presented for solving general global optimization problems. Based on the canonical dualitytriality theory, the nonconvex/nonsmooth/discrete problems from totally different systems are reformulated as a canonical min–max problem, which is equivalent to a monotone variational inequality problem over a convex cone. Therefore, a complementary-dual projection method is used ...

Social Science Methodology is the new thoroughly rewritten version of the successful first edition (subtitled: ‘A Criterial Framework’). In the introductory chapter, Gerring introduces the reader to the issue of epistemological and methodological pluralism in the social sciences and presents his view of a unified framework, which consists of three distinct tasks associated with, respectively, h...