A graph theoretic approach for supply chain coordination

Author(s):  
Arshinder Kaur ◽  
Arun Kanda ◽  
S.G. Deshmukh
2018 ◽  
Vol 29 (3) ◽  
pp. 478-514 ◽  
Author(s):  
Kavilal E.G. ◽  
Shanmugam Prasanna Venkatesan ◽  
Joshi Sanket

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.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Nishtha Agarwal ◽  
Nitin Seth ◽  
Ashish Agarwal

PurposeThe present study aims at developing a model to quantify supply chain resilience as a single numerical value. The numerical value is called resilience index that measures the resilience capability of the case company's supply chain. The model calculates the index value based on the interactions between the enablers of supply chain resilience and its dimensions.Design/methodology/approachGraph theoretic approach (GTA) is used to evaluate the resilience index for the case company's supply chain. In GTA, the dimensions of resilience enablers and their interdependencies are modelled through a digraph. The digraph depicting the influence of each dimension is converted into an adjacency matrix. The permanent function value of the adjacency matrix is called the resilience index (RI).FindingsThe proposed approach has been illustrated in context of an Indian automobile organization, and value of the RI is evaluated. The best case and the worst-case values are also obtained with the help of GTA. It is noted from the model that strategic level dimension of enablers is most important in contributing towards supply chain resilience. They are followed by tactical and operational level enablers. The GTA framework proposed will help supply chain practitioners to evaluate and benchmark the supply chain resilience of their respective organizations with the best in the industry.Originality/valueA firm can compare the RI of its own supply chain with other's supply chain or with the best in the industry for benchmarking purpose. Benchmarking of resilience will help organizations in developing strategies to compete in dynamic market scenario.


2018 ◽  
Vol 24 (2) ◽  
pp. 517-536 ◽  
Author(s):  
Shishir Goyal ◽  
Srikanta Routroy ◽  
Harshal Shah

Purpose The purpose of this paper is to quantify, evaluate and compare the environmental sustainability performance of supply chain for Indian steel industry using graph theoretic approach (GTA). Design/methodology/approach Broadly 12 environmental sustainability enablers (ESEs) were identified and they were classified into four significant categories (SCs). Featuring these SCs and ESEs under each SC, a methodology was proposed using GTA for evaluating the environmental sustainability performance of Indian steel companies. The analysis was further extended to compare the results with performance in different situations and accordingly set the future targets. Findings In order to demonstrate the utility of the proposed methodology, it was applied to an Indian steel company. The results obtained indicated that there have been significant growths achieved in the environmental sustainability performance over a period of five years. It was also found that a performance gap exists and it will reach the target value after two years. Practical implications The proposed approach is aimed at providing a procedure for evaluating the environmental sustainability performance. This study is an attempt to assist a steel industry to assess its sustainability program and accordingly define its course of actions. Originality/value Although many issues related to environmental sustainability have been widely recognized and studied, there are no specific studies available in the literature to assess the environmental sustainability performance along the timeline. The proposed model has the ability to capture the performance and interdependencies of SCs, ESEs under each SC and also to quantify the environmental sustainability performance along the timeline.


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