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Most of the mechanical systems consist of common tribo components such as gear, bearing, seal, pump, etc. During operation, the failure of such a component may lead to failure of the system or any other components depending on the system structure or its connections. The transformation of functional quantities or parameters within and various components make these vulnerable to failures and breakdowns. The main purpose of this paper is to evaluate the reliability of a tribo‐pair during operation based on the operational parameters which takes into account the deviation in functional objective and considers the component structure explicitly.

Failure representation using digraph models have mainly been limited to chemical systems and processes but have been applied to a limited extent to mechanical systems. Researchers have considered the operating parameters such as pressure, temperature; feed rate, flow, etc. as the input/output operational parameter for failure cause identification of tribo mechanical system. However, these are not true in case of components like gear, bearing, etc. Therefore, this methodology has been refined in this paper, and is extended to a tribo‐pair by considering its functions along with operating parameters for reliability assessment. The tribo‐pair considered for the development of model is a gear pair, which is a common and important example of mechanical components.

Understanding of the failure modes helps the designer in identifying the root cause of failure and the operational parameters whose increase/decrease affects the functional objective. Consideration of the input and output parameters and their interrelations are used to develop input‐output model of a gear pair called gear pair model. This requires consideration of the input and output parameters, which are based on the gear pair functionality. These parameters have been identified. Four input parameters; five output parameters and one condition monitoring parameter are considered to model the gear pair. In addition to input and output parameters condition monitoring parameters are also considered to develop the gear pair model.

Reliability assessment of a tribo‐pair during operation will help the practicing engineers to take corrective action and minimize the occurrence of undesired failure symptom during operation. The decrease in possibility of undesired failure symptom will enhance the reliability of mechanical system.

The purpose of this paper is to evaluate the service quality automobile garages through development of a service quality index based on the factors influencing service quality.

A structural methodology of graph theory and matrix approach is applied for developing the service quality index.

The automobile maintenance can be considered as a service industry and in order to sustain in the competitive business environment, the service providers must ensure quality in their services. There are several factors that influence the service quality. Each factor is comprised of several sub-factors. Moreover, the factors are interrelated with each other. Modelling of these factors and their interrelations with due consideration of their structure is accomplished through the graph theory. The directed graph (digraph) of the service quality is defined; the nodes of this symbolize the quality influencing factors, while the edges represent their degrees of interrelationships. An equivalent matrix developed from the digraph establishes a service quality function which leads to evaluation of service quality index (SQI). A greater value of the service quality index displays that the organization and functioning of the garage is adequate.

The methodology can be applied for evaluating as well as comparing service quality of different garages. The observations would be helpful to the managers the garages to make strategies for improving their service quality.

The paper establishes the interrelations among various factors that influence the service quality at automobile garages and develop a numeric index for the evaluation of the same.

The purpose of this paper is to propose a methodology for evaluating and comparing supply chain relationships, specifically when, small and medium scale enterprise (SME) is considered as focal company.

The paper proposes a mathematical solution based on interpretive structural modeling and graph theory matrix to determine the supply chain relationship index. The application is demonstrated for the case of Indian automotive SMEs based on the secondary data reported.

Solution determines supply chain buyer‐supplier index for upstream and downstream. Based on which coefficient of similarity and dissimilarity are determined to evaluate the net pool of buyer‐supplier relationship on focal small and medium scale automotive component manufacturing industry.

Developed approach and results will help SMEs in general and Indian automobile component manufacturing SMEs to rethink on their supply chain relationships and identify the reasons behind their present failures and establish the criteria for win‐win partnership.

The paper addresses the following issues: how buyer‐supplier relationships can be quantified and the impact measured for the present working of focal SME; how SMEs can convince upstream and down stream supply chain players to initiate improvement on some dimensions of buyer‐supplier relationships; and on what basis change in relationships (from transactional to alliance) can be made to minimize the supply chain pressure on a focal company.

To represent the effect of ‘human factors in total quality management (TQM) environment’ in terms of a single numerical index by considering their inheritances and interactions.

Various human factors affecting the TQM culture in an organization are identified and discussed for the sub factors affecting them. These factors are interacting with each other and their overall effect helps an organization in attaining TQM enabled needs. The paper attempts to represent the overall effect of human factors quantitatively by developing a mathematical model using graph theoretic approach. In this approach, interaction among identified human factors is represented through digraph, matrix model and a multinomial.

The extent of human aspects present in an organization, conducive to TQM culture is represented in terms of the “human index”. It provides an insight into the human factors at system and subsystem level. The developed procedure may be useful for self‐analysis and comparison among organizations.

Since, human behaviour is difficult to predict, so are the human factors. The paper considers general factors, which may vary depending on type of organization, size of organization and geographical location. There is a scope of research in factor specific organizations.

It provides a useful methodology for organizations to assess human aspects and improve upon therein. Procedure for stepwise application of methodology is given with example that may help an industry to implement it.

The paper attempts to quantify the intangibles through systematic approach and is of value to industries to improve upon their work environment.

The purpose of this paper is to develop a framework for the safety performance measurement of belt conveyor systems.

A structural methodology of graph theory and matrix approach is used for developing a framework for safety performance measurement of belt conveyor systems.

The development of a framework for safety performance measurement of belt conveyor systems is essential for ensuring plant safety. For this, safety performance factors, including design and operating contextual factors of belt conveyor systems, are identified. The factors along with their interrelations are modeled using digraph. An equivalent matrix of the digraph provided safety performance function (SPF) of belt conveyor systems, leading to the development of a safety performance index (SPI).

The developed framework will enable the designers for evaluating and comparing alternative designs of conveyor systems from the safety viewpoint. The plant operators can make inferences from the SPI to identify the weak contextual factors in the plant and develop action plans for its mitigation.

The paper is novel and employs graph theory and matrix approach for safety performance measurement. The methodology helps in the quantitative evaluation of the safety performance of belt conveyor systems.

A literature review revealed that in recent times, many companies have attempted organization‐wide change management through the philosophy and principles of Lean Thinking (LT). Although some organizations have transformed and reaped significant benefits in this endeavour, many organizations have failed in this attempt. One of the reasons can be attributed to the fact that not many organizations are attempting to “assess the organizational readiness” before implementing/adapting LT. This paper aims to address this issue.

Hence in this paper, an attempt has made to address this problem by presenting a hypothetical case study of an Indian organization to comprehensively assess organizational readiness of the case organisation using a graph theoretic approach (GTA), which has the ability to integrate and model multiple inter‐related factors.

From the obtained results, it was found that the case organization is not fully ready to embrace LT. It needs to work on different factors under the categories of suppliers, customers, etc. in addition to employees, organisation and top management for smooth and successful adaptation.

According to the authors' knowledge, no paper exists either in the literature of organizational analysis or in the field of LT literature that demonstrates the application of GTA, specifically for assessing the readiness of an organization in adapting LT. Furthermore, various factors which need to be considered were identified apart from modelling them by incorporating the relationship/dependency that exists between these factors, which is unique.

The purpose of this paper is to explore the drivers of healthcare waste management from literature review and field survey and model these drivers for understanding the inter-relationships among the drivers to enhance healthcare waste management in the Indian context.

In view of the need of the study, the interpretive structural modelling (ISM) method has been applied to model the drivers. The ISM method helps in depicting the relationships among the drivers and filtration of drivers on the basis of their driving and dependence power.

The findings of the study reveal that the type of a healthcare facility and its management structure, size of a healthcare facility, human resource management of a healthcare facility, healthcare facility’s management monitoring and control, and the effective re-enforcement of government regulation and policy implementation in a healthcare facility play a vital role in the enhancement of HCWM.

The application of the findings of this study would enhance the hospital’s waste management by ultimately leading to a good ambience and satisfied patients and personnels. Additionally, the study would aid in the policy formulation by government and decision making of medical facilities, thereby strengthening HCWM scenario in the country.

The drivers filtered in this study would be useful for ranking the hospitals’ healthcare waste management in a region/country. This ranking may play a vital role in earmarking the hospitals which are managing their healthcare waste according to the guidelines of Central Pollution Control Board (CPCB) and Ministry of Environment and Forest (MoEF) of a country. With the help of this study, the problem of inadequate human resource can be effectively addressed for CPCB and MoEF, in India.

Healthcare waste management is a vital issue which needs attention from the management perspective in India. Therefore, an interpretive structural model, i.e. ISM digraph, has been developed which would help in the filtration of drivers and attaining the better healthcare waste management in an economically and timely manner.

Evaluation of the extent of transformability of an existing system into an industry 4.0 (I4.0) compatible system is indispensable for both the technical and economic planning for implementing I4.0. This paper aims to propose a procedure to evaluate the transformability of an existing manufacturing system into an I4.0 system.

Six significant components of a manufacturing system and their five levels of modifications essential for the decision of transformation are identified. Based on expert opinion on facilitation and the impact of the transformation of one component on the transformation of others, a graph theory-based procedure for estimation of transformability index (TI) along with its relative and threshold values is proposed.

The paper introduced the concept of transformability into manufacturing systems. It proposed a simple procedure for calculating the ideal, relative and threshold value for TI to assess the suitability of the up-gradation of any manufacturing system into the I4.0 system.

Though the proposed procedure is based on six system components and their five levels of facilitation, it is quite versatile and able to integrate new components and different facilitation levels according to system requirements for their impact analysis in the transformation process. It can be extended to other domains like services and health care. Further, it can be used to estimate and establish the transformability criteria of a factory/service unit/industry from its current state to any regime.

The proposed method for deducing the TI, relative transformability index (RTI) and their threshold values would be a handy tool for decision-makers to assess the upgrading suitability of the entire manufacturing system and its component for use in the new regime or scrapping. It would provide mathematical and scientific support to the transformability decisions by assessing the influence of transforming one component to others and the system. This study would pave the way for further explorations in the domain of transformability.

In the light of available literature and best of the author’s knowledge, this study is the first of its kind that has applied the concept of transformability of existing manufacturing systems toward I4.0 compatible systems and proposed a procedure to estimate TI, RTI and their threshold values.

Previous research showed that there are some barriers which hinder the implementation of total quality management (TQM) in organizations. But no study has been undertaken to understand the interaction among these barriers and to develop a hierarchy of TQM barriers model. There is an urgent need to analyze the behavior of these barriers so that TQM may be successfully implemented. This paper therefore, aims to understand the mutual interaction of these barriers and identify the “driving barriers” (i.e. which influence the other barriers) and the “dependent barriers” (i.e. which are influenced by others).

In this paper, an interpretive structural modeling (ISM) based approach has been utilized to understand the mutual influences among the barriers of TQM.

In the present research work, 12 TQM barriers are identified through the literature review and expert opinion. The research shows that there exist two groups of barriers, one having high driving power and low dependency requiring maximum attention and of strategic importance (such as lack of top‐management commitment, lack of coordination between departments) and the other having high dependence and low driving power and are resultant effects (such as high turnover at management level, lack of continuous improvement culture, employees' resistance to change).

The adoption of such an ISM‐based model on TQM barriers in service organizations would help managers, decision makers, and practitioners of TQM in better understanding of these barriers and to focus on major barriers while implementing TQM in their organizations.

Presentation of TQM barriers in the form of an ISM‐based model and the categorization into driver and dependent clusters is a new effort in the area of TQM.

The purpose of this paper is to explore the barriers to sustainable tourism management (STM) implementation in a protected area (PA) of a developing country, India, by taking a case study of National Chambal Sanctuary (NCS).

This study develops a framework to analyse the interaction among a set of barriers of STM using the interpretive structural modelling approach.

In this study, 16 relevant barriers responsible for the failure of STM in Indian scenario have been selected. The lack of coordination among various stakeholders and the lack of government incentives are found as the most significant barriers among the selected barriers of STM implementation in the sanctuary.

This study provides most influencing barriers and how these barriers hinder the sustainability efforts in NCS. The study’s main limitation is its generalisation. The problems in implementing sustainable practices may differ with the region.

This study provides strong practical inferences to both practitioners as well as academicians. The practitioners are suggested to focus on identified barriers and formulating strategies to achieve sustainability in the tourism sector. Academicians may propose the solutions and necessary interventions for identified barriers.

Identification and presentation of barriers to STM implementation in the context of a PA are rare to find in literature.