TY - JOUR ID - 138122 TI - Measuring the efficiency of organizations with hierarchical structures using DEA and game theory JO - Journal of Industrial Engineering and Management Studies JA - JIEMS LA - en SN - 2476-308X AU - Ghasemi, Naser AU - Najafi, Esmaeil AU - Hosseinzadeh Lotfi, Farhad AU - Movahedi Sobhani, Farzad AD - Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran. AD - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran. Y1 - 2021 PY - 2021 VL - 8 IS - 2 SP - 1 EP - 25 KW - Hierarchical structure KW - Efficiency KW - Data Envelopment Analysis KW - centralized model KW - leader-follower model DO - 10.22116/jiems.2022.138122 N2 - Most organizations and companies have hierarchical structures, and appropriate models are required to measure the efficiency of this kind of network systems. Data envelopment analysis (DEA) is a well-known method introduced for measuring the relative efficiency of a set of decision-making units (DMUs) that use multiple inputs to produce multiple outputs. Conventional DEA models usually generate misleading results while evaluating the performance of network systems. The present study aims at developing suitable models for measuring the efficiency of hierarchical structures using the centralized and non-cooperative leader-follower game models. In the proposed method, the divisional efficiencies (within an organization) and the overall efficiency of the organization are calculated. The proposed models are applied to assess the performance of 20 schools in Iran. The results of the two proposed models show that none of the schools are efficient, suggesting that these schools do not optimally utilize their resources. The application of the results of the proposed models enables managers to identify inefficient sub-units and develop strategies to improve their performance. UR - https://jiems.icms.ac.ir/article_138122.html L1 - https://jiems.icms.ac.ir/article_138122_5b6a02b1d0a09a0d06c151e82304f6b9.pdf ER -