Mathematical Models for Performance Measurement and Benchmarking in Organizations

业绩衡量和基准制定是我们经济制度的重要基础，特别是加拿大庞大的服务部门。银行、医院和学校只是一些可以从基准和效率评估中受益的组织的例子。通过拥有有效的工具来衡量任何组织相对于同行或竞争对手的业绩，该组织可以更好地了解其目前状况与潜力之间可能存在的任何差距。拟议的研究旨在开发决策支持工具，建模性能和确定组织中的最佳实践。所使用的模式结构是数据分析法，它福尔斯属于一套更广泛的多标准决策方法。DEA的研究已经跨越了40年，拟议的研究计划探讨了一些重大问题，在应用DEA的过程中出现的真实的世界问题。 当前研究的一个重要领域是供应链管理。拥有分析供应链并在供应商及其相关供应链之间进行性能比较的方法，现在在“盈利”和“非盈利”环境中都成为绝对必要的。DEA方法有潜力成为这里的一种选择工具，但目前的形式还不够强大，无法提供所需的详细分析。拟议的研究的主要部分集中在解决DEA方法中的一些缺点。该研究的一个重要特点涉及非同质多级问题（包括供应链）的性能/效率的测量和建模。这意味着考虑并非所有链都具有相同级数的设置。此外，研究将探讨建立伙伴关系/联盟的问题，同时考虑到资源的集中。 另一个研究领域涉及等级情况。需要研究的一个重要应用是涉及一组发电厂的应用，每个发电厂作为一组电力单元或子单元的保护伞，由一个管理部门管理。这一结构是若干问题背景的特点，因为它允许在不同的汇总和分解层次上进行效率计量。

Performance measurement and benchmarking are important underpinnings of our economic system, particularly the large Canadian service sector. Banks, hospitals and schools are but a few examples of organizations that can benefit from benchmarking and efficiency evaluation. By having effective tools for measuring the performance of any organization relative to its peers or competitors, that organization can have a better understanding of any gaps that may exist between where it currently stands and where its potential lies. The proposed research is aimed at developing decision support tools for modeling performance and identifying best practice in organizations. The model structure to be used is data envelopment analysis (DEA), which falls within the broader set of multi-criteria decision-making methodologies. DEA research has spanned 4 decade; the proposed research program examines some of the major issues that have arisen in the process of applying DEA to real world problems. An important area of current research is supply chain management. Having the means for analyzing supply chains and making performance comparisons between vendors and their associated supply chains , is now becoming an absolute necessity in both 'for profit' and 'not for profit' settings. The DEA methodology has the potential to become a tool of choice here, but is not robust enough in its current form to provide the detailed analysis needed. A major portion of the proposed research focuses on addressing some of these shortcomings in the DEA methodology. One important feature of the research involves the measurement and modeling of performance/efficiency in non-homogeneous multistage problems (including supply chains). This means considering settings where not all chains have the same number of stages. Furthermore, the research will look into the problem of forming partnerships/coalitions, taking into consideration pooling of resources. Another area of study involves hierarchical situations. An important application to be examined is that involving a set of electric power plants, each of which acts as an umbrella for a set of power units or sub-units under one management. This structure is characteristic of a number of problem settings in that it allows for efficiency measurement at different levels of aggregation and disaggregation.