نوع مقاله : مقاله پژوهشی

نویسندگان

• شرمینه صفرپور ¹
• علیرضا امیرتیموری ²
• سهراب کردرستمی ³
• لیلا خوش اندام ⁴

¹ دانشجوی دکتری، گروه ریاضی کاربردی،دانشکده علوم پایه، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران

² استاد گروه ریاضی کاربردی، دانشکده علوم پایه،واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران

³ استاد گروه ریاضی کاربردی،دانشکده علوم پایه، واحد لاهیجان، دانشگاه آزاد اسلامی، لاهیجان، ایران

⁴ استادیار گروه ریاضی کاربردی، دانشکده علوم پایه،واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران

چکیده

ازآنجا که نظام سلامت یکی از مهم ترین ارکان سلامت جامعه است و با توجه به اینکه تأمین خدمات درمانی مردم از ارکان توسعه‌ی فردی هر کشور می‌باشد، لذا توجه و نظارت بر این بخش می تواند منجر به توسعه و رفاه اجتماعی گردد. برای حصول اطمینان از ارائه ی بهتر و کیفی تر خدمات بهداشتی، درمانی و مراقبتی، ارزیابی عملکرد در بخش سلامت نقش تعیین‌کننده‌ای را بازی می کند. در راستای تحقق این امر، استفاده ی صحیح و متناسب از امکانات و دارایی های موجود امری اجتناب‌ناپذیر است. در این مطالعه یک کاربردی در حوزه ی سیستم های مراقبتی و بهداشتی بیمارستان های کل کشور ارایه شده است. برای این منظور داده های مربوط به 31 بیمارستان دولتی کشور جمع آوری شده و سپس با شناسایی متغیرهای زمینه ای و حضور عامل نامطلوب سعی در ارزیابی کارایی و محاسبه توان مدیریتی هر واحد بیمارستانی شده است. برای نیل به این هدف در گام نخست کارایی تکنیکی با حضور عوامل نامطلوب، با استفاده از تکنیک تحلیل پوششی داده ها محاسبه شد و سپس لگاریتم کارایی تکنیکی حاصل از مرحله ی اول بر روی مجموعه ای از متغیرهای زمینه ای که بر عملکرد بیمارستان ها تأثیرگذار هستند رگرسیون شد. در مرحله ی بعد، توان مدیریتی از باقی مانده ی رگرسیون حاصل از مرحله ی قبل استخراج گردید. در پایان یک رتبه بندی منحصر به فرد بر اساس معیار توان مدیریتی هر واحد ارائه گردید. در نهایت نتایج حاصل به منظور ارائه‌ی پیشنهاداتی ارزنده مورد تحلیل و بررسی قرار گرفتند.

کلیدواژه‌ها

• بخش سلامت
• تحلیل پوششی داده ها
• توان مدیریتی
• متغیر های زمینه ای
• کارایی

موضوعات

• مدیریت عملکرد

عنوان مقاله [English]

Analysis of Technical Efficiency and Managerial Ability in Iran's Health Care

نویسندگان [English]

• Sharmineh Safarpour ¹
• Alireza Amirteimoori ²
• Sohrab Kordrostami ³
• Leila Khoshandam ⁴

¹ PhD student, Department of Applied Mathematics, Faculty of Basic Sciences, Rasht Branch, Islamic Azad University, Rasht, Iran

² Professor, Department of Applied Mathematics, Faculty of Basic Sciences, Rasht Branch, Islamic Azad University, Rasht, Iran

³ Professor, Department of Applied Mathematics, Faculty of Basic Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran

⁴ Assistant Professor, Department of Applied Mathematics, Faculty of Basic Sciences, Rasht Branch, Islamic Azad University, Rasht, Iran

چکیده [English]

Since the healthcare system is one of the most important pillars of community health, and considering that providing healthcare services to the people is one of the elements of individual development in any country, attention and supervision of this sector can lead to development and social welfare. To ensure better and higher quality healthcare services, performance evaluation in the health sector plays a crucial role. In order to achieve this, proper and proportional use of existing facilities and assets is inevitable. In this study, by introducing an application in the field of healthcare systems, the educational hospitals of the country have been measured in terms of performance and their managerial ability has been calculated. Additionally, by identifying and introducing the impact of contextual variables on the performance of decision-making units, their efficiency has been assessed. For this purpose, data related to educational hospitals in 31 provinces of the country was collected, and then by identifying contextual variables and with the presence of undesirable factors, the efficiency was evaluated and the managerial ability of each was calculated. To reach this goal, in the first step, technical efficiency with the presence of undesirable factors was calculated using data envelopment analysis technique, and then the logarithm of technical efficiency obtained from the first stage was regressed on a set of contextual variables that affect hospital performance. In the next stage, managerial ability was extracted from the residual of the regression obtained from the previous stage. Finally, a unique ranking based on the managerial ability of each unit was provided. Ultimately, the results obtained were analyzed and examined in order to provide valuable suggestions for managers and more efficient management of the country's hospitals to maintain public health. According to the study, without considering contextual variables, 25 effective units were evaluated, but by applying the effect of contextual variables on the efficiency index, no unit becomes effective, proving the high impact of such indices on the performance of units. Additionally, in the ranking of units based on managerial ability, Lorestan province ranked first and Golestan province ranked last.
Introduction
The issue of increasing productivity and efficiency in healthcare costs is important for all countries. The health sector, by identifying the factors that affect community health precisely, influences national macroeconomic planning and minimizes their adverse effects on health. By utilizing the best practices in healthcare, significant improvements in the health of individuals and communities can be achieved. Therefore, proper investment in healthcare facilities and health centers, as well as improving the quality and efficiency of their services, is essential for sustainable development. In order to increase efficiency and productivity, understanding the current status and measuring the performance of hospitals in the healthcare system is of paramount importance. Ensuring the provision of better and higher quality health services requires evaluating the performance of the healthcare system. Therefore, it seems that employing efficiency measurement techniques and improving performance and productivity in this sector can improve processes and optimize the use of resources and the fair distribution of resources for the provision of desirable services. In recent years, various studies and methods have been proposed by researchers to measure the efficiency of decision-making units, which can be divided into two categories: parametric and non-parametric methods. Farrell (1957) first introduced the non-parametric method, and then Charnes et al. (1978) extended the initial analysis by Farrell from multi-input and single-output to multi-input and multi-output. The model developed by them was named the Charnes-Cooper-Rhodes model. Then, Banker et al. (1984) introduced the model. The non-parametric method is a linear programming-based method in which a linear programming problem is solved for each decision unit. This branch of operations research has rapidly advanced and is called data envelopment analysis. Data envelopment analysis is a mathematical programming technique for evaluating decision-making units and plays a fundamental role in identifying efficient boundaries and measuring the relative efficiency of units under scrutiny. Data envelopment analysis allows for the comparison of units with each other. Considering the importance of the health sector in improving the quality of life for individuals in society, we felt it necessary to examine the performance level and calculate the managerial capacity of hospitals in all 31 provinces of the country to ensure the proper functioning of this sector and take even small steps towards improving the quality of this sector. The aim of this research is to analyze and evaluate the performance of health sector hospitals in Iran in the presence of contextual variables and provide a ranking method based on managerial capacity. For this purpose, data related to educational hospitals in all 31 provinces of the country were collected, and then, by identifying contextual variables and the presence of undesirable factors, an attempt was made to evaluate the efficiency and calculate the managerial capacity of each hospital unit. To achieve this goal, in the first step, technical efficiency with the presence of undesirable factors was calculated using data envelopment analysis technique, and then the logarithm of technical efficiency resulting from the first step was regressed on a set of contextual variables that affect hospital performance. In the next step, managerial ability was extracted from the residual of the regression from the previous step. Finally, a unique ranking based on the managerial ability of each hospital was presented.
Methodology
In this article, based on studies conducted by Demerjian et al. (2020) and Banker et al. (2020), we examine the performance analysis and managerial abilities of 31 hospitals in the country through a three-stage process. Firstly, considering the presence of undesirable outputs, the efficiency analysis of the units of interest is obtained using the efficiency model proposed by Kuosmanen (2005) with the (3) technology. Then, using the least squares method, the impact of each of the contextual variables in this study, including "asset base", "density", and "number of physicians", on the efficiency scores obtained from the first stage is regressed. Subsequently, managerial ability is obtained from the residuals of the previous least squares method. Finally, a unique ranking based on the managerial ability of each hospital is presented.
Results
In this study, which was conducted on the performance of the health care in Iran, a new ranking based on managerial ability was provided for comparing units. Based on calculations performed on a number of hospitals in 31 provinces of the country without considering contextual variables, 25 efficient units were evaluated. However, by applying the effect of contextual variables on the efficiency index, no unit appears to be efficient, proving the significant impact of contextual variables on the performance of units. Furthermore, the relationship between contextual variables and efficiency index was determined. For example, an increase in the amount of the contextual variable "number of physicians" will lead to an increase in managerial ability. This means that an increase in the number of physicians will benefit the improvement of the system's efficiency and managerial ability.
Conclusion
Without a doubt, studying and investing in the healthcare industry is one of the most profitable and best areas for investment. In this regard, government hospitals in each country are one of the main and most important components of the healthcare sector. The hospitals studied in this research are considered as 3 government hospitals per province. Based on past efficiency studies, we find that each decision-making unit had its own specific inputs and outputs. The aim of this study is to analyze and examine the managerial ability of public hospitals in Iran. In this study, the performance of selected hospital units is analyzed in terms of managerial efficiency, considering the impact of other variables known as contextual variables on the performance of a decision-making unit. In this study, the performance of government hospitals in Iran is analyzed from a managerial perspective. The first step involves calculating the efficiency of units using basic models and considering undesirable outputs. Then, in the second step, the logarithm of technical efficiency obtained from the first step is regressed on a set of contextual variables that affect hospital performance. Furthermore, the impact of contextual variables, including total assets, physician density, and number of physicians, on the size of unit efficiency is measured in this study. Based on the results, 25 efficient units were evaluated, but with the application of contextual variables on efficiency indicators, no unit becomes efficient, proving the high impact of such indicators on unit performance. Additionally, based on the calculations performed, in the ranking of units with a managerial approach, Lorestan province ranks first and Golestan province, which has the weakest performance among the units under study, ranks last. The impact of contextual variables on efficiency indicators has been examined. For example, the impact of the "number of physicians" indicator on efficiency is direct, and a one-unit increase in it will lead to an increase in managerial efficiency. This means that an increase in the number of physicians will benefit the system's efficiency and managerial ability. However, the impact of the density variable, unlike the number of physicians, has an inverse effect on managerial ability. To provide suggestions for future studies, one can refer to generalizing the problem to the uncertainty space and studying different applications by bringing the problem into random spaces, providing more predictive predictions. Furthermore, this study can be implemented in analyzing performance and calculating managerial ability in various industries such as power plants, insurance industry, banks, etc., and based on the applications and the type of technology used, different approaches can be provided for calculating managerial

کلیدواژه‌ها [English]

• Health care sector
• data envelopment analysis
• managerial ability
• contextual variables
• efficiency