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دانلود پروژه:یافتن الگوی مناسب در مدل‎های تحلیل پوششی داده ها (DEA) با استفاده از روش های تعاملی برنامه ریزی خطی چندهدفه (MOLP)  

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یافتن الگوی مناسب در مدل‎های تحلیل پوششی داده ها (DEA) با استفاده از روش های تعاملی برنامه ریزی خطی چندهدفه (MOLP)

چکیده:

تحلیل پوششی داده ها یکی از پرکاربرد ترین روش ها در محاسبه ی اندازه کارایی و تعیین واحدهای مرجع برای واحدهای تصمیم گیرنده (DMU)ناکارا است. ارزیابی عملکرد و یافتن الگوی مناسب از مسائل مهم و مورد توجه مدیران و صاحب نظران اقتصادی قلمداد می گردد. یک واحد مرجع در DEA به طور ابتدایی با تصویر کردن DMU های ناکارا به صورت شعاعی روی مرز کارایی بدون توجه به ترجیحات تصمیم گیرنده (DM) بدست می آید. در این راستا مدل های تحلیل پوششی داده ها و برنامه ریزی چند هدفی (DEA & MOLP)به منظور ایجاد الگوی ترکیبی مناسبی برای واحد تصمیم گیرنده ناکارا با توجه به ترجیحات DM مورد بررسی قرارگرفت.و سپس  با برقراری رابطه ای بین تکنیک CCR در سه ماهیت خروجی ، ورودی و ترکیبی و مدل زیونتز- والینیوس (Z-W)   مدل مزبور ارائه گردید و مشاهده گردید که الگوی بدست آمده بسیار کاربردی تر از الگوهای دیگر  DEA می باشد .همچنین این روش به صورت عملی در  تعدادی  از شعب بانک تجارت و همچنین شرکت بیمه بکار برده شد.

کلمات کلیدی:

تحلیل پوششی داده ها، برنامه ریزی خطی چند هدفه، مدل زیونتز- والینیوس، مرز کارایی، ارائه مدل.

 

 

 

دسته: , برچسب: , , , ,

چکیده ………………………………………………………………………………………………………… 1

فصل اول پیشگفتار

1-1- مقدمه ………………………………………………………………………………………………… 2

1-2- اهمیت موضوع……………………………………………………………………………………… 2

1-3- پیشینه تحقیق ……………………………………………………………………………………….. 4

1-4- مروری بر فصول آینده ………………………………………………………………………….. 6

فصل دوم ادبیات موضوع

2-1- مقدمه ………………………………………………………………………………………………… 7

2-2- تعریف تابع تولید…………………………………………………………………………………… 7

2-3- روشهای پارامتری برای تقریب تابع تولید……………………………………………………. 9

2-3-1- تعریف کارآیی …………………………………………………………………………………. 9

2-3-1-1- تعریف کارایی مطلق………………………………………………………………………. 9

2-3-1-2- تعریف کارایی نسبی ……………………………………………………………………… 10

2-3-1-3-کارایی قوی و ضعیف …………………………………………………………………….. 11

2-4- روشهای غیر پارامتری…………………………………………………………………………….. 11

2-4-1- تحلیل پوششی داده­ها ………………………………………………………………………… 11

2-4-1-1- مجموعه­ی امکان تولید……………………………………………………………………. 12

2-4-1-2- مدل CCR با استفاده از مجموعه­ امکان تولید …………………………………… 14

2-4-1-2-1- مدل ماهیت خروجی…………………………………………………………………… 19

2-4-1-2-2- مدل ماهیت ترکیبی ……………………………………………………………………. 20

2-4-1-2-3- مجموعه مرجع …………………………………………………………………………. 20

2-4-1-3- پیدا کردن الگو برای کارا کردن واحد تصمیم گیرنده ناکارا ………………….. 20

2-4-1-3-1- فاز اوّل …………………………………………………………………………………… 21

2-4-1-3-2- فاز دوم …………………………………………………………………………………… 21

2-4-1-4- مدل BCC …………………………………………………………………………………. 22

2-5-  MOLP……………………………………………………………………………………………. 32

2-5-1- مفاهیم و واژه شناسی…………………………………………………………………………. 34

2-5-1-1- تابع مطلوبیت ……………………………………………………………………………….. 35

2-5-1-2- جواب ایده آل ……………………………………………………………………………… 35

2-5-1-3- جواب بهینه …………………………………………………………………………………. 36

2-5-1-4- بردارهای معیار غالب …………………………………………………………………….. 36

2-5-1-5- نقطه کارا …………………………………………………………………………………….. 36

2-5-2- تقسیم بندی روش های MOLP ………………………………………………………… 36

2-5-2-1- روش هایی برای بیان اطلاعات صریح مفروض …………………………………… 38

2-5-2-1-1- روش جفرن ……………………………………………………………………………… 38

2-5-2-1-1-1- الگوریتم جفرن ……………………………………………………………………… 40

2-5-2-1-1-2- روش تعیین جهت بهبود ………………………………………………………….. 41

2-5-2-1-1-3- معیار خاتمه ………………………………………………………………………….. 44

2-5-2-1-2- برنامه ریزی آرمانی تقابلی (IGP) ……………………………………………….. 45

2-5-2-1-2-1- الگوریتم برنامه ریزی آرمانی تقابلی (IGP) ……………………………….. 48

2-5-2-1-3- روش تبادل ارزش جانشین (SWT) ……………………………………………. 52

2-5-2-1-3-1- توابع بده – بستان…………………………………………………………………… 50

2-5-2-1-3-2- تابع ارزش جانشین ………………………………………………………………… 52

2-5-2-1-3-3- تعیین بردار تصمیم بهینه ………………………………………………………….. 55

2-5-2-1-3-4- الگوریتم روش (SWT)…………………………………………………………. 56

2-5-2-1-4- روش آرمان‎های رضایت بخش……………………………………………………… 57

2-5-2-1-4-1- الگوریتم روش آرمان های رضایت بخش……………………………………. 58

2-5-2-1-5- روش زیونتز والینیوس(Z-W) …………………………………………………….. 59

2-5-2-1-5-1- الگوریتم روش (Z-W)………………………………………………………….. 60

2-5-3- روش هایی برای تبادل اطلاعات ضمنی مفروض………………………………………. 63

2-5-3-1- روش STEM ……………………………………………………………………………. 63

2-5-3-1-1- الگوریتم روش STEM…………………………………………………………….. 64

2-5-3-2- روش SEMOPS ………………………………………………………………………. 69

2-5-3-2-1- الگوریتم روش SEMOPS ………………………………………………………. 70

2-5-3-3- روش ایده آل جا به جا شده …………………………………………………………… 74

2-5-3-3-1- روش‎هایی برای کوچک کردن مجموعه‎ی نامغلوب N ……………………… 74

2-5-3-3-2- الگوریتم روش ایده آل جا به جا شده …………………………………………… 76

2-5-3-4- روش GPSTEM……………………………………………………………………….. 78

2-5-3-4-1- الگوریتم روش GPSTEM……………………………………………………….. 79

فصل سوم روش تحقیق

3-1- مقدمه…………………………………………………………………………………………………. 83

3-2- ارزیابی کارایی مدل  CCRبا ماهیت خروجی با بکار بردن یک روشMOLP… 83

3-3- ارزیابی کارایی مدل  CCRبا ماهیت ورودی با بکار بردن یک روشMOLP…. 88

3-4- ارزیابی کارایی مدل  CCRبا ماهیت ترکیبی با بکار بردن یک روشMOLP….. 93

فصل چهارم تجزیه و تحلیل داده ها

4-1- مقدمه…………………………………………………………………………………………………. 98

4-2- مثال کاربردی……………………………………………………………………………………….. 99

4-3- مطالعه موردی دیگر……………………………………………………………………………….. 102

فصل پنجم نتیجه گیری

5-1- نتیجه­گیری……………………………………………………………………………………………. 106

5-2- پیشنهادات……………………………………………………………………………………………. 107

منابع……………………………………………………………………………………………………………. 108

 

فهرست اشکال

شکل (2–1) مجموعه امکان تولید ……………………………………………………………………. 15

شکل (2–2) ماهیت ورودی ……………………………………………………………………………. 16

شکل (2–3) ماهیت خروجی …………………………………………………………………………… 16

شکل (2–4) ماهیت ترکیبی …………………………………………………………………………….. 17

شکل (2-5) پوسته محدب پنج نقطه پس از پذیرش دو اصل…………………………………. 23

شکل (2-6) مجموعه امکان تولید با سه اصل …………………………………………………….. 24

شکل (2-7) TC قسمت هاشور زده افقی و Tv خاکستری ………………………………….. 25

شکل (2-8) مرز CCR و مرزBCC ………………………………………………………………. 26

شکل (2-9) نمای کلی مدل های MOLP ……………………………………………………….. 38

شکل (2-10) نمایش گرافیکی مقادیر اهداف برای انتخاب طول گام ……………………….. 45

شکل (2-11) تعیین محدوده ی بی تفاوتی …………………………………………………………. 56

شکل (2-12) فلوچارت روشSTEM …………………………………………………………….. 69

شکل (2-13) توضیح روش ایده آل جا به جا شده برای دو هدف ………………………….. 76

فهرست جداول

جدول (2-1) داده های اولیه …………………………………………………………………………… 22

جدول (2-2) خلاصه مدل ……………………………………………………………………………… 31

جدول (2-3) نمایش جدولی مقادیر اهداف برای انتخاب طول گام …………………………. 44

جدول (2-4) جدول بهره وری روش STEM ………………………………………………….. 66

جدول (4–1) اطلاعات ورودی و خروجی …………………………………………………………. 100

جدول (4–2) داده ها برای 21 شعبه یک شرکت بیمه …………………………………………… 100

جدول (4–3) نتایج بدست آمده از مدل CCR با ماهیت خروجی …………………………. 101

جدول (4–4) نتایج روش (Z-W) تعاملی …………………………………………………………. 102

جدول (4-5) اطلاعات ورودی و خروجی شعب ………………………………………………… 103

جدول (4-6) مجموعۀ داده­ها برای 20 شعبه ………………………………………………………. 104

جدول (4–7) نتایج بدست آمده از مدل CCR با ماهیت ترکیبی …………………………… 104

173 دیدگاه برای دانلود پروژه:یافتن الگوی مناسب در مدل‎های تحلیل پوششی داده ها (DEA) با استفاده از روش های تعاملی برنامه ریزی خطی چندهدفه (MOLP)  

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