IJE TRANSACTIONS B: Applications Vol. 27, No. 8 (August 2014) 1223-1232   

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E. Mehdizadeh and A. Fatehi Kivi
( Received: October 04, 2013 – Accepted: March 06, 2014 )

Abstract    This paper proposes a mixed integer programming model for single-item capacitated lot-sizing problem with setup times, safety stock, demand shortages, outsourcing and inventory capacity. Due to the complexity of problem, three meta-heuristics algorithms named simulated annealing (SA), vibration damping optimization (VDO) and harmony search (HS) have been used to solve this model. Additionally, Taguchi method is conducted to calibrate the parameters of the meta-heuristics and select the optimal levels of the algorithmís performance influential factors. Computational results on a set of randomly generated instances show the efficiency of the HS against VDO and SA.


Keywords    Lot-sizing, Safety stocks, Simulated annealing, Vibration¨ damping optimization, Harmony search


چکیده    در اين مقاله يک مدل عدد صحيح مختلط براي مسئله تعيين اندازه سفارش تک محصولي با در نظر گرفتن محدوديت ظرفيت، زمان≠هاي راه≠اندازي، موجودي اطمينان، کمبود، برونسپاري و فضاي انبار ارائه مي شود. با توجه به پيچيدگي مسئله سه الگوريتم فرا≠ابتکاري شبيه سازي تبريد، بهینه سازی ميرايي ارتعاش و جستجوي هارموني براي حل مدل ارائه شده به کار گرفته مي≠شوند. همچنين از روش تاگوچي به منظور تنظيم پارامترهاي الگوريتم≠هاي فرا≠ابتکاري و انتخاب سطوح بهينه آن≠ها استفاده مي≠شود. نتايج محاسباتي از حل مثال هاي عددي که به صورت تصادفي توليد شده≠اند، نشان≠ مي≠دهند که الگوريتم جستجوي هارموني در مقايسه با ميرايي ارتعاش و تبريد شبيه≠سازي شده عملکرد بهتري دارد.



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