Matrix-based network data envelopment analysis: A common set of weights approach

IF 6.2 2区经济学 Q1 ECONOMICS

Socio-economic Planning Sciences Pub Date : 2024-08-29 DOI:10.1016/j.seps.2024.102044

Pejman Peykani , Fatemeh Sadat Seyed Esmaeili , Mir Saman Pishvaee , Mohsen Rostamy-Malkhalifeh , Farhad Hosseinzadeh Lotfi

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引用次数: 0

Abstract

Performance measurement of decision-making units (DMUs) with network structure is one of the main challenges in data envelopment analysis (DEA) field. The main purpose of this paper is to propose a novel network data envelopment analysis (NDEA) approach based on matrix of efficiency, common set of weights (CSW), multi-objective programming (MOP), and goal programming (GP) technique for performance measurement of peer DMUs in two-stage network structure. The advantages of the proposed NDEA approach can be summarized as follows: comparing all DMUs and sub-DMUs on the same base, considering all internal structures and relations and capability to extending this for all network structures, linearity of the proposed models, unique efficiency decomposing without any need to consider multiplicative, additive or leader-follower relations between overall and stages efficiency. To illustrate the usefulness and applicability of the proposed approach we applied it to a real application of non-life insurance companies in Taiwan.

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基于矩阵的网络数据包络分析：共同权重集方法

对具有网络结构的决策单元（DMU）进行绩效衡量是数据包络分析（DEA）领域的主要挑战之一。本文的主要目的是提出一种基于效率矩阵、共同权重集（CSW）、多目标编程（MOP）和目标编程（GP）技术的新型网络数据包络分析（NDEA）方法，用于两级网络结构中同级 DMU 的绩效测量。所建议的 NDEA 方法的优点可归纳如下：在同一基础上比较所有 DMU 和子 DMU，考虑所有内部结构和关系，并能将其扩展到所有网络结构，所建议模型的线性，独特的效率分解，无需考虑整体效率和阶段效率之间的乘法、加法或领导者-追随者关系。为了说明所提方法的实用性和适用性，我们将其应用于台湾非寿险公司的实际应用中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Socio-economic Planning Sciences OPERATIONS RESEARCH & MANAGEMENT SCIENCE-

CiteScore

9.40

自引率

13.10%

发文量

294

审稿时长

58 days

期刊介绍： Studies directed toward the more effective utilization of existing resources, e.g. mathematical programming models of health care delivery systems with relevance to more effective program design; systems analysis of fire outbreaks and its relevance to the location of fire stations; statistical analysis of the efficiency of a developing country economy or industry. Studies relating to the interaction of various segments of society and technology, e.g. the effects of government health policies on the utilization and design of hospital facilities; the relationship between housing density and the demands on public transportation or other service facilities: patterns and implications of urban development and air or water pollution. Studies devoted to the anticipations of and response to future needs for social, health and other human services, e.g. the relationship between industrial growth and the development of educational resources in affected areas; investigation of future demands for material and child health resources in a developing country; design of effective recycling in an urban setting.