IJE TRANSACTIONS C: Aspects Vol. 31, No. 12 (December 2018) 1973-1974   

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M.B. Fakhrzad and P. Talebzadeh
( Received: January 30, 2018 – Accepted: November 26, 2018 )

Abstract    Abstract In this paper, we formulated the problem of multi-product multi-period multi-level closed-loop green supply chain planning 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. The modeled supply chain was assumed to be composed of multiple levels including suppliers, manufacturing/remanufacturing centers, distribution/collection centers, customers, and disposal centers. The formulation was developed in the format of a multi-objective mixed integer nonlinear programming model. The problem was solved by deriving the robust counterpart of the formulation. Given the NP-hard complexity and long solution time of the problem, particularly in the case of larger problem instances, a Non-dominated Sorting Genetic Algorithm II (NSGA-II) was used for this purpose. Given the small difference between the optimal solutions obtained from the GAMS software and the near-optimal solutions obtained using NSGA-II, the metaheuristic algorithm can serve as a reliable method for solving the proposed formulation in the case of larger problem instances.


Keywords    Green supply chain planning, Uncertainty, Reliability, Fuzzy robust, Genetic algorithm


چکیده    چکیده طراحی شبکه زنجیره تامین حلقه بسته یکی از‌ مسائل مهم­ در مدیریت زنجیره تامین است. در این مقاله به کاربرد مجموعه‌های فازی برای طراحی یک شبکه زنجیره تأمین حلقه-بسته سبز چند ‌محصولی، چند دوره‌ای، چند سطحی تحت عدم قطعیت پرداخته شده است. زنجیره تأمین ارائه ‌شده شامل پنج تابع هدف می‌باشد: تابع هدف اول شامل کمینه‌سازی هزینه‌های شبکه زنجیره تامین می‌باشد. تابع هدف دوم کمینه‌سازی انتشار گازهای خروجی حاصل از جابجایی وسیله نقلیه در بین مراکز می‌باشد تابع هدف سوم شامل حداکثر‌سازی قابلیت اطمینان مراکز تولید، توزیع و حمل و نقل می‌باشد . تابع هدف چهارم شامل حداکثر سازی نرخ قابلیت اطمینان سیستم حمل و نقل می باشد. تابع هدف پنجم سطح سرویس دهی به مشتریان را بیشینه می‌کند. سطوح زنجیره تامین پیشنهادی شامل مراکز تأمین‌کننده، مراکز تولید/ احیا، مراکز توزیع/ جمع‌آوری، مراکز مشتریان و مراکز دفع می‌باشد. درنهایت عملکرد و کارایی مدل و روش­های حل پیشنهادی در قالب مثال عددی شبیه‌سازی شده، و مورد بررسی قرار می­گیرد.

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