Structural Modeling and Analysis of Water Resources Development and Management System: A Graph Theoretic Approach

Purpose Easily employable quantitative supply chain complexity (SCC) measures considering the significant dimensions of complexity as well as the drivers that represent those dimensions are limited in the literature. The purpose of this paper is to propose an integrated interpretive structural modeling (ISM) and a graph-theoretic approach to quantify SCC by a single numerical index considering the interdependence and the inheritance of the SCC drivers. Design/methodology/approach In total, 18 SCC drivers identified from the literature are clustered according to the significant dimensions of complexity. The interdependencies established through ISM and inheritance values of SCC drivers are mapped into a Variable Permanent Matrix (VPM). The permanent function of this VPM is then computed and the resulting single numerical index is the measure of SCC. Findings A scale is proposed by computing the minimum and maximum threshold values of SCC with the help of expert opinions of the Indian automotive industry. The complexity of commercial and passenger vehicle sectors within the automotive industry is measured and compared using the proposed scale. From the results, it is identified that the number of suppliers, increase in spare-parts due to shortened product life-cycle and demand uncertainties increase the SCC of the passenger vehicle sector, while number of parts, products and processes, variety of products and process and unreliability of suppliers increase the complexity of the commercial vehicle sector. The result indicates that various SCC drivers have a different impact on determining the SCC level of these two sectors. Originality/value The authors propose an integrated method that can be readily applied to measure and quantify SCC considering the significant dimensions of complexity as well as the interdependence and the inheritance of the SCC drivers that contribute to those dimensions. This index further helps to compare the complexity of the supply chain which varies between industries.

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An analysis of selected barriers towards the implementation of an energy efficient sustainable manufacturing system: a graph theoretic approach

International Journal of Operational Research ◽

10.1504/ijor.2021.117708 ◽

2021 ◽

Vol 42 (1) ◽

pp. 34

Author(s):

Subrata Kumar Patra ◽

Tilak Raj ◽

B.B. Arora

Keyword(s):

Energy Efficient ◽

Manufacturing System ◽

Sustainable Manufacturing ◽

Theoretic Approach ◽

Graph Theoretic ◽

System A ◽

Graph Theoretic Approach

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Modeling, Analysis, and Comparison of Nanotechnology System: A Graph-Theoretic Approach

10.20944/preprints202007.0089.v1 ◽

2020 ◽

Author(s):

Tanvir Singh ◽

V.P. Agrawal

Keyword(s):

Graph Theory ◽

Complete Analysis ◽

Theoretic Model ◽

Theoretic Approach ◽

Graph Theoretic ◽

Systems Model ◽

System A ◽

Modeling Analysis ◽

Graph Theoretic Approach ◽

Permanent Function

Nanotechnology can create many new nanomaterials and nanodevices with a vast range of applications, such as in medicine, electronics, biomaterials, and energy production, etc. An attempt is made to develop an integrated systems model for the structure of the nanotechnology system in terms of its constituents and interactions between the constituents and processes, etc. using graph theory and matrix algebra. The nanotechnology system is first modeled with the help of graph theory, secondly by variable adjacency matrix and thirdly by multinomial (which is known as a permanent function). The permanent function provides an opportunity to carry out a structural analysis of nanotechnology system in terms of its strength, weakness, improvement, and optimization, by correlating the different systems with its structure. The physical meaning has been associated with each term of the permanent function. Different structural attributes of the nanotechnology system are identified concurrently to reduce cost, time for design and development, and also to develop a graph-theoretic model, matrix model, and multinomial permanent model of nanotechnology system. The top-down approach for a complete analysis of any nanotechnology systems is given. The general methodology is presented for the characterization and comparison of two nanotechnology systems.

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Modeling, Analysis, and Comparison of Nanotechnology System: A Graph-Theoretic Approach

10.21203/rs.3.rs-136389/v1 ◽

2021 ◽

Author(s):

Tanvir Singh

Keyword(s):

Graph Theory ◽

Complete Analysis ◽

Theoretic Model ◽

Theoretic Approach ◽

Graph Theoretic ◽

Systems Model ◽

System A ◽

Modeling Analysis ◽

Graph Theoretic Approach ◽

Permanent Function

Abstract Nanotechnology can create many new nanomaterials and nanodevices with a vast range of applications, such as in medicine, electronics, biomaterials, and energy production, etc. An attempt is made to develop an integrated systems model for the structure of the nanotechnology system in terms of its constituents and interactions between the constituents and processes, etc. using graph theory and matrix algebra. The nanotechnology system is first modeled with the help of graph theory, secondly by variable adjacency matrix and thirdly by multinomial (which is known as a permanent function). The permanent function provides an opportunity to carry out a structural analysis of nanotechnology system in terms of its strength, weakness, improvement, and optimization, by correlating the different systems with its structure. The physical meaning has been associated with each term of the permanent function. Different structural attributes of the nanotechnology system are identified concurrently to reduce cost, time for design and development, and also to develop a graph-theoretic model, matrix model, and multinomial permanent model of nanotechnology system. The top-down approach for a complete analysis of any nanotechnology systems is given. The general methodology is presented for the characterization and comparison of two nanotechnology systems.

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