存在不良产出和不确定性时两阶段结构的马尔基斯特-伦伯格生产率指数

IF 0.8 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Advances in Operations Research Pub Date : 2024-02-06 DOI:10.1155/2024/6905897
Rita Shakouri, Maziar Salahi
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引用次数: 0

摘要

网络数据包络分析(NDEA)模型评估的是基础系统在某一时刻的过程,而忽略了生产过程中的动态效应。因此,获得的效率评估结果是扭曲的,可能会给决策单位(DMU)带来误导性信息。Malmquist-Luenberger 生产率指数(MPI)评估的是效率随时间的变化,它是以恢复项和前沿移动项的乘积来衡量的,两者都来自 DEA 框架。本研究提出了一种涉及网络结构的 MPI 形式,用于在存在不确定性和两期不良产出的情况下评估 DMU。为了应对不确定性,我们使用了 Kuosmanen(《美国农业经济学杂志》,87 (4):1077-1082,2005 年)提出的随机 p-robust 方法和弱可处置性来处理不良产出。通过应用 Charnes 和 Cooper 变换,对所提出的阶段和整体系统的分数模型进行了线性化处理。最后,利用 2020 年至 2021 年期间的数据,将提出的模型用于评估 11 口油井的效率,以确定决定其生产率的主要因素。结果表明,对资源消耗,尤其是设备和资本的管理不到位,投资不足。虽然该行业的资本设施折旧率较高,但投资的目的并不是为了提升技术水平。
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Malmquist–Luenberger Productivity Index for a Two-Stage Structure in the Presence of Undesirable Outputs and Uncertainty
Network Data Envelopment Analysis (NDEA) models assess the processes of the underlying system at a certain moment and disregard the dynamic effects in the production process. Hence, distorted efficiency evaluation is gained that might give misleading information to decision-making units (DMUs). Malmquist–Luenberger Productivity Index (MPI) assesses efficiency changes over time, which are measured as the product of recovery and frontier-shift terms, both coming from the DEA framework. In this study, a form of MPI involving network structure for evaluating DMUs in the presence of uncertainty and undesirable outputs in two periods of time is presented. To cope with uncertainty, we use the stochastic p-robust approach and the weak disposability of Kuosmanen (American Journal Agricultural Economics 87 (4):1077–1082, 2005) proposed to take care of undesirable outputs. The proposed fractional models for stages and overall system are linearized by applying the Charnes and Cooper transformation. Finally, the proposed models are applied to evaluate the efficiency of 11 petroleum wells to identify the main factors determining their productivity, utilizing the data from the 2020 to 2021 period. The results show that the management of resource consumption, especially equipment and capital, is not appropriate and investment is inadequate. Although the depreciation rate of capital facilities in this industry is high, the purpose of the investment is not to upgrade the level of technology.
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来源期刊
Advances in Operations Research
Advances in Operations Research OPERATIONS RESEARCH & MANAGEMENT SCIENCE-
CiteScore
2.10
自引率
0.00%
发文量
12
审稿时长
19 weeks
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