ارائه مدل برنامه ریزی غیرخطی عدد صحیح مختلط برای بهینه سازی زنجیره تامین حلقه بسته سبز: مطالعه موردی صنعت لبنی کاله

نوع مقاله : مقاله پژوهشی

نویسندگان

1 دانشجوی دکتری مدیریت تولید و عملیات، دانشکده علوم اقتصادی و اداری، دانشگاه مازندران، بابلسر، ایران.

2 استاد، گروه مدیریت صنعتی، دانشکده علوم اقتصادی و اداری، دانشگاه مازندران، بابلسر، ایران.

3 دانشیار، گروه مهندسی صنایع، دانشگاه علوم و فنون مازندران، بابل، ایران.

4 استادیار، گروه مدیریت صنعتی، دانشکده علوم اقتصادی و اداری، دانشگاه مازندران، بابلسر، ایران.

چکیده

در این پژوهش یک مدل برنامه ریزی غیرخطی عدصحیح مختلط (MINLP) جهت مدلسازی زنجیره تامین حلقه بسته صنایع لبنی در سطوح تولید، توزیع و فروش ارائه شده است. مدل ریاضی پیشنهادی تحقیق شامل دو تابع اقتصادی و زیست محیطی است. تابع هدف اقتصادی بر اساس حداکثرسازی سود کل و تابع هدف زیست محیطی به منظورحداقل سازی انتشار CO2 و میزان COD تعریف شده است. هم چنین در بخشی از مدل که بیانگر رابطه بین توزیع کننده و مشتری است مسئله مسیریابی وسیله نقلیه سبز درنظر گرفته شده که شامل چند محصول، چند انبار، چند نوع وسیله نقلیه و چند دوره زمانی است. با توجه به پیچیدگی مسئله و ماهیت NP-hard آن در این پژوهش از الگوریتم فراابتکاری NSGAII جهت حل مسئله استفاده شده است. به منظور بررسی کارایی این الگوریتم نیز چند مسئله در ابعاد کوچک طراحی و در نرم افزار لینگو حل شده و پاسخ های به دست آمده با جواب های حاصل از روش فراابتکاری مقایسه گردید. درنهایت اثر میزان هدر رفت چربی به عنوان یکی از عوامل تاثیرگذار بر آلودگی فاضلاب لبنی نیز مورد بررسی قرار گرفت. یافته‌ها بیانگر کارایی الگوریتم NSGAII و نیز نشان‌دهنده اثر مستقیم میزان هدر رفت چربی بر آلودگی فاضلاب بود.

کلیدواژه‌ها

عنوان مقاله [English]

A Mixed Integer Nonlinear Programming Model for a Green Closed-Loop Supply Chain Optimization (Case Study: Kalleh Dairy Company)

نویسندگان [English]

  • Seyedeh Marzieh Ahmadi 1
  • Abdolhamid Safaei Ghadikolaei 2
  • Javad Rezaeian Zeidi 3
  • Mohammad Valipour Khatir 4
1 PhD. Student of Production and Operations Management, Faculty of Economic and Administrative Science, University of Mazandaran, Babolsar, Iran.
2 Professor, Department of Industrial Management, Faculty of Economic and Administrative Science, University of Mazandaran, Babolsar, Iran.
3 Associate Professor of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran.
4 Assistant Professor, Department of Industrial Management, Faculty of Economic and Administrative Science, University of Mazandaran, Babolsar, Iran.
چکیده [English]

In this research, a mixed integer nonlinear programming (MINLP) model is presented to optimize a closed loop supply chain in dairy industry. The mentioned supply chain includes production, distribution and sales. The proposed model contains two objective functions. The first one is economic and seeks to maximize total profit and the second one is aiming to minimize CO2 emissions and COD as environmental objective function. Also, a green vehicle routing problem is presented to addresses the relationship between distributor and customers. This problem includes several products, several warehouses, several types of vehicles and several time periods. Due to complexity and NP-hardness of this problem, the NSGAII algorithm has been applied to resolve the problem. In order to evaluate the validity of this algorithm, some small problems have been designed and solved in Lingo software. The results also were compared with the outcomes of the meta-heuristic method. Finally, the effect of fat loss, as one of the most affecting factors on dairy wastewater pollution, was also investigated. The results showed the efficiency of NSGAII algorithm and the direct effect of fat loss rate on wastewater pollution.

کلیدواژه‌ها [English]

  • Closed-loop green supply chain network
  • nonlinear programming
  • GVRP
  • NSGAII

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پژوهش های نوین در تصمیم گیری
دوره 7، شماره 1
فروردین 1401
صفحه 134-164

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