شاخص بهره‌وری مالمکوئیست هزینه گروهی: مطالعه موردی در صنعت بانکداری

نوع مقاله : مقاله علمی پژوهشی

نویسندگان

1 دانشجوی دکتری، گروه تحقیق در عملیات، دانشکده ریاضی، دانشگاه علم وصنعت ایران، تهران، ایران.

2 دانشیار، گروه ریاضی کاربردی، دانشکده ریاضی، دانشگاه علم‌وصنعت ایران، تهران، ایران.

3 استاد، گروه ریاضی کاربردی، دانشکده ریاضی، دانشگاه علم‌وصنعت ایران، تهران، ایران.

چکیده

هدف: برای ارزیابی درجه تحقق اهداف سازمان، باید بهره‌وری آن سازمان سنجیده شود و چون هر سازمانی از گروه‌ها ‌و بخش‌های مختلفی تشکیل شده است، باید بهره‌وری گروه‌های آن بررسی شود. هدف این مقاله معرفی شاخصی مناسب برای ارزیابی تغییرات بهره‌وری هزینه گروه‌ها و شناسایی عوامل تأثیرگذار بر آن است. برای توضیح کاربردی‏بودن شاخص پیشنهادی، مطالعه‌ای در زمینه ارزیابی بهره‌وری شعبه‌های یکی از بانک‌های کشور در مناطق مختلف ارائه می‌شود.
روش: برای اندازه‌گیری کارایی هزینه یک گروه، تابع فاصله‏ای مناسب ایجاد و بر اساس آن، شاخص بهره‌وری مالمکوئیست هزینه گروهی معرفی می‌شود. سپس، عوامل تأثیرگذار بر رشد بهره‌وری گروه‌ها با تمرکز بر دو بخش درو‌ن‌گروهی و برون‌گروهی بررسی می‏شود.
یافته‌ها: شاخصی مناسب برای ارزیابی تغییرات بهره‌وری هزینه گروهی از واحدهای تصمیم‌گیری معرفی شد. برای تبیین کاربردی‏بودن شاخص پیشنهادی، یک مطالعه موردی واقعی در زمینه بانکداری انجام شد. در این مطالعه تغییرات بهره‌وری هزینه شعبه‌های یکی از بانک‏های کشور، در هشت منطقه مختلف ارزیابی شد. نتایج محاسبه شاخص و مؤلفه‌های مختلف آن روی داده‌های بانک اطلاعات معنادار و سودمندی درباره تغییرات بهره‌وری بانک در نواحی مختلف ارائه داد.
نتیجه‌گیری: نتایج نشان داد که شاخص پیشنهادی، علاوه بر آنکه ابزار مناسبی برای ارزیابی بهره‌وری گروه‌ها ارائه می‏کند با شناسایی عوامل تأثیرگذار بر تغییرات بهره‌وری، چشم‌انداز روشنی در اختیار مدیران سازمان‌ها برای سیاست‌گذاری‌های بعدی قرار می‌دهد.

کلیدواژه‌ها


عنوان مقاله [English]

Group Cost Malmquist Productivity Index: A Case Study of Bank Industry

نویسندگان [English]

  • Mona Habibpoor 1
  • Mohammadreza Alirezaee 2
  • Jalil Rashidinia 3
1 Ph.D. Candidate, Department of Operations Research, Faculty of Mathematics, Iran University of Science and Technology, Tehran, Iran.
2 Associate Prof., Department of Applied Mathematics, Faculty of Mathematics, Iran University of Science and Technology, Tehran, Iran.
3 Prof., Department of Applied Mathematics, Faculty of Mathematics, Iran University of Science and Technology, Tehran, Iran.
چکیده [English]

Objective: To evaluate the achievement degree of an organization to its goals, its productivity must be measured. Since an organization is composed of different groups, the productivity of its groups should be examined. This paper aims to introduce a suitable index to evaluate group cost productivity changes and identify factors affecting it. To explain the applicability of the proposed index, a study on the productivity evaluation of a bank's branches in different regions is presented.
Methods: A suitable distance function is created to measure the cost efficiency of a group, and based on that, the group cost Malmquist index is introduced. Then, the influencing factors on the productivity growth of the groups are examined by focusing on intra-group and extra-group sections.
Results: An indicator was presented to evaluate the cost productivity changes of a group of decision-making units and the factors that affect the cost productivity changes of the groups were identified. The proposed group Malmquist index breaks down into four components: Pure efficiency changes, scale efficiency changes, allocative efficiency changes, and cost technological changes. The pure efficiency change measures the optimal use of inputs to produce output indicators. The scale efficiency changes reflect the effect of changes in the size of branches of a region on its productivity growth. The allocative efficiency changes indicate the achieved changes in the optimal combinations of inputs considering the prices of each period. The cost technological changes component reflects changes in cost technology frontiers during two periods. All of these components were examined from two perspectives: intra-group and extra-group. In the intra-group perspective, the internal group frontier is considered, and in the extra-group perspective, the common frontier of all groups is focused. To explain the applicability of the proposed index and calculate the impact of its components on productivity growth, a real case study was presented. This case study evaluated the cost productivity changes of a bank's branches in eight different regions. The results showed that three regions have cost productivity growth. One area has almost no changes in cost productivity, and the other regions have productivity regressions. The results of measuring the group cost Malmquist productivity index on bank data provide meaningful and useful information about bank productivity changes in different areas.
Conclusion: Most organizations consist of different groups and departments. Sometimes, it is necessary to examine a group of decision-making units instead of evaluating the performance of several decision-making units to analyze the role of environmental conditions on the performance assessment of the decision-making units. The results are shown that the proposed group cost Malmquist productivity index provides a suitable tool for evaluating the cost productivity changes of groups. Also, it prepares a clear perspective for managers of organizations for future policies by identifying the intra-group and extra-group factors affecting group cost productivity changes.

کلیدواژه‌ها [English]

  • Cost efficiency
  • Cost productivity
  • Data envelopment analysis
  • Groups
  • Malmquist index
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