Malmquist Productivity Index Using Two-stage DEA Model in Heart Hospitals

محورهای موضوعی : Data Envelopment Analysis

علی رضا علینژاد ¹ (دانشیار،گروه مهندسی صنایع، دانشکده مهدسی صنایع و مکانیک،واحد قزوین، دانشگاه آزاد اسلامی،قزوین، ایران)
میرپویا میرمظفری ² (PhD Candidate, Department of Computer Science, Montana State University, Bozman)

تاریخ دریافت : 1396/06/19 تاریخ پذیرش : 1396/07/17 تاریخ انتشار : 1397/09/10

کلید واژه: Keywords: DEA, MPI, Intermediate element, Two-stage model,

چکیده مقاله :

Abstract Heart patients displays several symptoms and it is hard to point them. Data envelopment analysis (DEA) provides a comparative efficiency degree for each decision-making units (DMUs) with several inputs and outputs. Evaluating of hospitals is one of the major applications in DEA. In this study, a comparison of additive model with standard input oriented and output oriented Malmquist productivity index (MPI) are used. The MPI is calculated to measure productivity growth relative to a reference technology. Two primary subjects are addressed in computation of MPI growth. What are generally referred to as a “catching-up” effect or technical efficiency change (TEC) and a “frontier shift” effect or technological change (TC). The data covers a six-year span from 2011 to 2016 for 15 local heart hospitals. Two inputs, one intermediate element and two outputs are chosen in two-stage model and these factors reflect the main function of hospitals. Conversion of two-stage to single-stage model is introduced. This model is proposed to fix the efficiency of a two-stage process, and avoid the dependence to various weights. Finally, the results indicated that geometry average of MPI in input oriented pure technical efficiency (PTE) in the tenth Hospital (2.1517) is introduced as the highest performance hospital with highest productivity growth.

چکیده انگلیسی:

بیماران قلبی علائم متعددی را نشان می دهند و اشاره به آنها دشوار است. تحلیل پوشش داده ها ((DEA یک درجه کارایی مقایسه ای برای هر واحد تصمیم گیری  (DMU) با چند ورودی و خروجی فراهم می کند. ارزیابی بیمارستان ها یکی از برنامه های کاربردی عمده در DEA است. در این مطالعه، مقایسه مدل جمعی با شاخص بهره وری مالم کوئیست (MPI) ورودی محور و خروجی مورد استفاده قرار گرفته است. MPI برای اندازه گیری رشد بهره وری نسبت به تکنولوژی مرجع محاسبه شده است. در محاسبه رشد MPI دو موضوع اصلی مطرح می شود. چه چیزی به طور کلی به عنوان اثر پیشروی و یا تغییر کارایی فنی (TEC) و اثر "تغییر مرز" یا تغییرات تکنولوژیکی (TC) اشاره می شود. داده ها شامل یک دوره شش ساله از سال 2011 تا 2016 برای 15 بیمارستان قلب محلی است. دو ورودی، یک عامل میانی  و دو خروجی در مدل دو مرحلهای انتخاب شده و این عوامل نشان دهنده عملکرد اصلی بیمارستانها است. تبدیل مدل دو مرحله ای به مدل تک مرحله ای معرفی شده است.این مدل برای اصلاح کارایی یک فرآیند دو مرحله ای وجلوگیری از وابستگی به وزنهای مختلف پیشنهادشده است. در نهایت، نتایج نشان داد که میانگین هندسی MPI در کارایی فنی خالص ورودی محور  در بیمارستان دهم (2.1517) به عنوان بالاترین  عملکرد بیمارستان  با بالاترین میزان  رشد بهره وری معرفی شده است.

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