رتبه بندی تامین کنندگان با استفاده از تکنیک تحلیل پوششی داده ها و مدل جدید کارایی متقاطع در حضور خروجی های نامطلوب
محورهای موضوعی :
آمار
مهدی سلطانی فر
1
,
حمید شرفی
2
,
سید محمد زرگر
3
,
مهدی همایونفر
4
1 - استادیار گروه علوم پایه، واحد سمنان، دانشگاه آزاد اسلامی، سمنان، ایران
2 - دانش آموخته گروه ریاضی کاربردی، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران
3 - استادیار گروه مدیریت، واحد سمنان، دانشگاه آزاد اسلامی، سمنان، ایران.
4 - استادیار گروه مدیریت صنعتی، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران
تاریخ دریافت : 1398/10/24
تاریخ پذیرش : 1399/03/19
تاریخ انتشار : 1400/07/01
کلید واژه:
TOPSIS method,
Preferential Voting,
Data Envelopment Analysis,
Undesirable outputs,
Cross Efficiency Evaluation,
چکیده مقاله :
تحلیل پوششی داده ها، روشی مبتنی بر برنامه ریزی خطی است که برای ارزیابی کارایی نسبی واحدهای تصمیم گیری (DMU’s) که وظایف یکسانی انجام داده و دارای چندین ورودی و چندین خروجی هستند، به کار می رود. به دلیل دیدگاه خوشبینانه DEA در ارزیابی کارایی واحدهای تصمیم گیری متجانس، حصول چندین واحد با نمره کارایی نسبی حداکثر (برابر واحد)، بسیار محتمل است. لذا مدل های رتبه بندی برای تمایز بین واحدهای کارا ارائه گردید. کارایی متقاطع، یکی از سودمندترین ابزار برای رتبهبندی واحدهای تصمیم گیری در تحلیل پوششی دادها است. این مدل دارای دو نقص اساسی در اجرا است. نخست آنکه در حضور جواب های بهین دگرین، نتایج متفاوتی به دست می دهد؛ و دوم آنکه در استفاده از میانگین حسابی برای تجمیع نتایج ماتریس کارایی متقاطع، دلیل قانع کننده ای ارائه نشده است. در این مقاله در خصوص تجمیع نتایج کارایی متقاطع در حضور خروجی های نامطلوب ، روش جدیدی با الهام گرفتن از فرآیند رای گیری ترجیحی و ایده مطرح شده در روش تاپسیس، ارائه شده است. سپس نتایج برای رتبه بندی تامین-کنندگان در حضور خروجی های نامطلوب به کار گرفته شده است.
چکیده انگلیسی:
Data envelopment analysis is a linear programming-based approach used to evaluate the relative performance of decision making units (DMU's) that perform the same tasks with multiple inputs and multiple outputs. Due to the optimistic view of the DEA in evaluating the performance of homogeneous decision making units, multiple units with a maximum relative efficiency score (equal to unit) are highly likely. Therefore, ranking models were presented to distinguish between efficient units. Cross efficiency evaluation is one of the most useful tools for ranking DMUs in data envelopment analysis. This model has two major flaws in implementation. First, it yields different results in the presence of optimal alternatives; and second, there is no compelling reason to use the arithmetic mean to integrate the cross-performance matrix results. In this paper, a new approach, inspired by the preferential voting process and the idea proposed in the TOPSIS method, is presented to combine cross-performance results in the presence of undesirable outputs. The results are then used to rank suppliers in the presence of undesirable outputs.
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