مدیریت زنجیره تأمین

مدیریت زنجیره تأمین

مدل برنامه ریزی غیر خطی عدد صحیح مختلط استوار برنامه ریزی تولید توزیع در زنجیره تامین سه سطحی

نوع مقاله : پژوهشی

نویسندگان
1 دانشجوی دکتری مهندسی صنایع بهینه سازی سیستم ها ، دانشگاه جامع امام حسین(ع)، تهران، ایران.
2 دانشجوی دکتری مهندسی صنایع بهینه سازی سیستم ها ، دانشگاه جامع امام حسین(ع)، تهران، ایران
3 دانشیار مهندسی صنایع ، دانشگاه جامع امام حسین)ع(، تهران، ایران
4 دکتری مدیریت صنعتی، تولید عملیات، دانشگاه آزاد واحد رودهن، تهران، ایران.
5 کارشناس ارشد مدیریت صنعتی، تولید عملیات، دانشگاه آزاد واحد تهران شمال، تهران، ایران
چکیده
اﻳﻦ ﭘﮋوﻫﺶ ﻳﻚ ﻣﺪل ﺑﻬﻴﻨﻪﺳﺎزى اﺳﺘﻮار ﺑﺮاى ﺑﺮﻧﺎﻣﻪرﻳﺰى ﻳﻜﭙﺎرﭼـﻪ ﺗﻮﻟﻴـﺪ-ﺗﻮزﻳـﻊ در ﺷـﺒﻜﻪ زﻧﺠﻴﺮه ﺗﺄﻣﻴﻦ ﺳﻪﺳﻄﺤﻲ ﻣﺘﺸﻜﻞ از ﺗﺄﻣﻴﻦﻛﻨﻨﺪﮔﺎن، ﺗﻮﻟﻴﺪﻛﻨﻨـﺪﮔﺎن و ﺗﻮزﻳـﻊﻛﻨﻨـﺪﮔﺎن اراﺋـﻪ ﻣﻲﻧﻤﺎﻳﺪ. ﺑﺎ ﺑﻪﻛﺎرﮔﻴﺮى روﻳﻜﺮد ﺑﻬﻴﻨﻪﺳﺎزى اﺳﺘﻮار ﺑﺮﺗﻴﻤﺎس ﺳﻴﻢ ، ﻋﺪم ﻗﻄﻌﻴﺖﻫﺎى ﻣﻮﺟـﻮد در ﺗﻘﺎﺿﺎ و ﻫﺰﻳﻨﻪﻫﺎى ﺣﻤﻞوﻧﻘﻞ در ﭼﻬﺎر روش ﺣﻤﻞوﻧﻘﻞ )ﺟﺎدهاى، رﻳﻠﻲ، درﻳﺎﻳﻲ و ﻫـﻮاﻳﻲ( ﻣﺪﻳﺮﻳﺖ ﻣﻲﮔﺮدد ﺗﺎ ﺳﻮد ﺧﺎﻟﺺ ﺣﺪاﻛﺜﺮ ﺷـﻮد. ﻣـﺪل ﺑﺮﻧﺎﻣـﻪرﻳـﺰى ﻏﻴﺮﺧﻄـﻲ اﻋـﺪاد ﺻـﺤﻴﺢ ﻣﺨﺘﻠﻂ ﭘﻴﺸﻨﻬﺎدى ﺑﺎ اﺳﺘﻔﺎده از ﻧﺮم اﻓﺰار ﺑﻬﻴﻨـﻪﺳـﺎزى GAMS/BARON ﻧﺴـﺨﻪ ١٢/٦ ﺑـﺮاى ﭼﻬﺎر ﺳﻄﺢ ﻋﺪم ﻗﻄﻌﻴﺖ ٠.٦.٠.٨) .٠.٤. (ρ=٠.٢ در ﭘﻨﺞ ﺳﻨﺎرﻳﻮى ﺗﻮﻟﻴﺪﺷﺪه ﺗﺼﺎدﻓﻲ ﺣﻞ ﺷﺪه اﺳﺖ. ﺗﺤﻠﻴﻞ ﻣﻘﺎﻳﺴﻪاى ﻣﺪلﻫﺎى ﻗﻄﻌﻲ و اﺳﺘﻮار ﺣﺎﻛﻲ از آن اﺳﺖ ﻛﻪ ﻣـﺪل اﺳـﺘﻮار ﻣﻮﺟـﺐ ﻛﺎﻫﺶ ٦٢ ﺗﺎ ٦٥ درﺻﺪى اﻧﺤﺮاف اﺳﺘﺎﻧﺪارد ﻣﻲﺷﻮد، درﺣﺎﻟﻲﻛﻪ ﺗﻨﻬـﺎ ٠/٧٥ ﺗـﺎ ١/٧٩ درﺻـﺪ ﻛﺎﻫﺶ در ﻣﻴﺎﻧﮕﻴﻦ ﺳﻮد را ﺑﻪ ﻫﻤﺮاه دارد. ﻳﺎﻓﺘﻪﻫﺎ ﻧﺸﺎن ﻣﻲدﻫـﺪ ﻛـﻪ ﻣـﺪل اﺳـﺘﻮار از ﻧﺴـﺒﺖ رﻳﺴﻚ ﺑﻪ ﺑﺎزده ﺑﺮﺗﺮى ﺑﺮﺧﻮردار ﺑﻮده و ﺿﺮﻳﺐ ﺗﻐﻴﻴﺮات را در ﺗﻤﺎﻣﻲ ﺳﻄﻮح ﻋﺪم ﻗﻄﻌﻴﺖ ﺑﻴﺶ از ٦٠ درﺻﺪ ﺑﻬﺒﻮد ﻣﻲﺑﺨﺸﺪ، ﻛﻪ اﻳﻦ اﻣﺮ آن را ﺑﺮاى ﻣﺤﻴﻂﻫﺎى ﻛﺴﺐوﻛﺎر ﺑﺎ ﻋﺪم ﻗﻄﻌﻴﺖ ﺑﺎﻻ بسیار کارآمد می سازد.
کلیدواژه‌ها
موضوعات

عنوان مقاله English

A Robust MINLP Model for Production-Distribution Planning in Three-Echelon Supply Chain

نویسندگان English

Kami Sasanian 1
mehdi jalalinasab 2
Ardeshir ahmadi 3
amir radfar 4
hossein rezaie 5
1 Ph.D. Students, Industrial Engineering and Systems Optimization, Imam Hossein University, Tehran, Iran.
2 Ph.D. Students, Industrial Engineering and Systems Optimization, Imam Hossein University, Tehran, Iran.
3 Associate Professor, Imam Hossein University, Tehran, Iran.
4 Ph.D. in Industrial Management (Production and Operations) Islamic Azad University, Roudehen Branch, Tehran, Iran.
5 M.Sc. in Industrial Management (Production and Operations) Islamic Azad University, Tehran North Branch,Tehran, Iran.
چکیده English

This research presents a robust optimization model for integrated production-distribution planning in a three-echelon supply chain network comprising suppliers, manufacturers, and distributors. By employing the Bertsimas-Sim robust optimization approach, uncertainties in demand and transportation costs across four transportation modes (road, rail, maritime, and air) are managed to maximize net profit. The proposed Mixed-Integer Nonlinear Programming (MINLP) model is solved using GAMS/BARON version 12.6 optimization software for four uncertainty levels (ρ=0.2, 0.4, 0.6, 0.8) across five randomly generated scenarios. Comparative analysis of deterministic and robust models indicates that the robust model reduces standard deviation by 62 to 65 percent, while only resulting in a 0.75 to 1.79 percent reduction in average profit. Findings demonstrate that the robust model achieves a superior risk-return ratio and improves the coefficient of variation by over 60 percent across all uncertainty levels, making it highly effective for high-uncertainty business environments.

کلیدواژه‌ها English

Robust Optimization
Uncertainty
Mixed-Integer Nonlinear Programming
Bertsimas-Sim
Multi-Echelon Supply Chain

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دوره 28، شماره 91 - شماره پیاپی 91
شماره پیا پی 91 تابستان 1405
تابستان 1405
صفحه 21-37

  • تاریخ دریافت 08 آبان 1404
  • تاریخ بازنگری 26 آذر 1404
  • تاریخ پذیرش 07 مرداد 1405
  • تاریخ انتشار 01 شهریور 1405