IJE TRANSACTIONS C: Aspects Vol. 31, No. 12 (December 2018) 2059-2067   

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M. B. fakhrzad, P. Talebzadeh and F. Goodarzian
( Received: January 30, 2018 – Accepted in Revised Form: November 06, 2018 )

Abstract    In this paper, developed a new multi-product, multi-period, and multi-level closed-loop green supply chain planning model under uncertain conditions. The formulated model consists of five objective functions, which minimize the cost of the supply chain, minimize the CO2 emission of transportation vehicles, maximize the reliability of manufacturing and distribution centers, maximize the reliability of the transportation system, and maximize the level of service provided. Therefore, the problem of model formulated as a multi-objective mixed integer nonlinear programming. Also, since the proposed model is complex and NP-hard in large size, therefore, for the investigation of the results, we have used a Non-Dominated Sorting Genetic II Algorithm (NSGA-II). In addition, the small of size results of the problem achieved by GAMS software. Therefore, we try to solve these problems by analyzing and comparing them with the help of these algorithm. For this purpose, various size has been considered.


Keywords    Green Closed-loop Supply Chain; Uncertainty; Reliability; NSGA-II Algorithm



در این مقاله یک شبکه زنجیره تأمین حلقه-بسته سبز چند‌محصولی، چنددوره‌ای، چندسطحی تحت عدم قطعیت مورد بررسی واقع شده است. مدل ارائه شده شامل پنج تابع هدف: کمینه‌سازی هزینه‌های شبکه زنجیره‌تامین، کمینه‌سازی انتشار گازهای خروجی وسیله نقلیه در بین مراکز، حداکثر‌سازی قابلیت اطمینان مراکز تولید، توزیع و حمل‌و‌نقل، حداکثرسازی نرخ قابلیت اطمینان سیستم حمل‌ونقل و در نهایت حداکثرسازی سطح سرویس‌دهی به مشتریان می‌باشد. سطوح زنجیره‌تامین این مدل شامل مراکز تأمین‌کننده، مراکز تولید/ احیا، مراکز توزیع/ جمع‌آوری، مراکز مشتریان و مراکز دفع می‌باشد. برای حل مساله از روش استوار‌سازی فازی و روش بهینه‌سازی چند هدفه ژنتیک با مرتب سازی نا مغلوب NSGA-II استفاده شده است. می‌توان نتیجه گرفت الگوریتم NSGA-II یک روش مطمئن برای حل مدل پیشنهادی در اندازه بزرگ مساله می‌باشد.


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