A New Decomposition of Cost Efficiency based on the Price and Cost based Production Possibility Sets in non-competitive space in DEA

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

R. Fallahnejad ¹ , E. Rezaei hezaveh ²

1 - Department of Mathematics, Khorramabad Branch, Islamic Azad University, Khorramabad, Iran.
2 - Department of Mathematics, Khorramabad Branch, Islamic Azad University, Khorramabad, Iran.

تاریخ دریافت : 1399/01/09 تاریخ پذیرش : 1400/08/28 تاریخ انتشار : 1400/10/11

کلید واژه: non-competitive space, Data Envelopment Analysis, Different Prices, competitive space, cost efficiency,

چکیده مقاله :

Identification of various sources of inefficiency plays an important role in the performance analysis aimed at developing plans for the improvement of decision making. In this regard, not only technical, cost, and allocative efficiency can be estimated by information on inputs and outputs and their prices, but losses due to the lack of profit and revenue and optimal cost can also be calculated based on the relevant inefficiency. The present paper aimed at providing new estimation of cost efficiency and sources of losses in the total efficiency in a non-competitive environment where there is the possibility of change in prices of inputs and outputs from one DMU to another. In line with studies (Tone .K, "A Strange Case of the Cost and Allocative Efficiencies in DEA". Journal of the Operational Research Society 53, (2002), pp.1225-1231) and (Tone. K., Tsutsui, M. "Decomposition of Cost Efficiency and its Application to Japanese-Us Electric Utility Comparisons". Socio-Economic Planning Sciences 47 (2007), pp.91-106), the present study sought to introduce new sources of inefficiency and related losses by presenting new price-based and cost-based production possibility sets.

چکیده انگلیسی:

شناسایی منابع مختلف ناکارایی، نقش مهمی در تحلیل عملکرد با هدف توسعه برنامه‌هایی برای بهبود تصمیم‌گیری ایفا می‌کند. در این راستا نه تنها کارایی فنی، هزینه ای و تخصیصی را می توان با اطلاعات ورودی ها و خروجی ها و قیمت آنها تخمین زد، بلکه می توان زیان های ناشی از عدم سود، درآمد و هزینه بهینه را نیز بر اساس ناکارای های مربوطه محاسبه کرد.  مقاله حاضر قصد دارد تخمین جدیدی از کارایی هزینه و منابع تلفات در کارایی کل در یک محیط غیر رقابتی که امکان تغییر قیمت ورودی ها و خروجی ها از یک واحد تصمیم گیری وجود دارد، را ارائه دهد. در راستای مطالعات(Tone. K., Tsutsui, M. "Decomposition of Cost Efficiency and its Application to Japanese-Us Electric Utility Comparisons". Socio-Economic Planning Sciences 47 (2007), pp.91-106)و(Tone .K, "A Strange Case of the Cost and Allocative Efficiencies in DEA". Journal of the Operational Research Society 53, (2002), pp.1225-1231)مطالعه حاضر به دنبال معرفی منابع جدید ناکارایی و زیان های مرتبط با آنها توسط ارائه مجموعه های امکان تولید جدید مبتنی بر قیمت و هزینه می باشد. 

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