Employment of Set Operations to Improve LMP Assessments Design and Implementation

Malek Khalaf Albezuirat, R. Ahmad, M. Hussain, Falah Mustafa Al-Saraireh, Asia Khalaf Albzeirat
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Abstract

Objective - This paper aims to provide a new mathematical model for the construction of assessment tools for Lean Manufacturing Practices (LMP) through the integration process with the set operations. This study also strives to develop key elements to enhance the effectiveness of LMP assessments and their impact through mathematical interrelationship.  Problem - Previous studies have shown a lack of clear mathematical methodology to carry out a rigorous assessment of the LMP effects on the firm’s operational and financial performance. Therefore, this paper tries to address this aspect by developing new equations.  Design - The methodology of this study is based on the conversion of the linguistic description (companies, processes, waste, practices) into numerical measurement model by integrating with set theory.  Finding - The results show a set of relationships and equations that can be applied to be a fundamental basis for ensuring the effectiveness of the assessment. This paper may contribute to the improvement of LMP’s design and development.
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运用集合操作改进LMP评估的设计和实施
目的:本文旨在通过集成过程与集合操作,为构建精益生产实践(LMP)评估工具提供一个新的数学模型。本研究还努力发展关键要素,以提高LMP评估的有效性及其通过数学相互关系的影响。问题-先前的研究表明,缺乏明确的数学方法来严格评估LMP对公司运营和财务绩效的影响。因此,本文试图通过建立新的方程来解决这方面的问题。设计-本研究的方法论是基于将语言描述(公司、流程、浪费、实践)与集合理论相结合,转化为数值测量模型。发现-结果显示了一组关系和方程式,可用于作为确保评估有效性的根本基础。本文对改进LMP的设计和开发具有一定的参考价值。
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