مدل چندمحصولی با لحاظ کردن هزینه نگهداری و خرید به صورت تابعی افزایشی از سیکل سفارش

نوع مقاله: مقاله پژوهشی

نویسندگان

1 دانشگاه آزاد اسلامی،واحد علوم وتحقیقات ، گروه مهندسی صنایع، قزوین

2 عضو هیأت علمی، دانشگاه آزاد اسلامی، واحد قزوین، دانشکده مهندسی صنایع و مکانیک، گروه مهندسی صنایع، قزوین،ایران

چکیده

در این مقاله مدل های کلاسیک سفارش اقتصادی و تولید اقتصادی با در نظر گرفتن هزینه نگهداری و خرید به
صورت تابعی افزایشی و پیوسته از سیکل سفارش توسعه داده می شود. دو مدل ارائه شده است که مدل اول،
مدل سفارش اقتصادی با فرض غیر مجاز بودن کمبود می باشد و مدل دوم هم مدل تولید اقتصادی با فرض غیر
مجاز بودن کمبود است، از آنجاییکه مدل از نوع برنامه ریزی غیر خطی پیوسته است، حل آن به روش دقیق در
زمان معقول امکان پذیر نیست به این سبب از الگوریتم های ابتکاری ژنتیک و ازدحام ذرات برای حل استفاده
می شود برای افزایش اثربخشی الگوریتم ها از رویکرد تاگوچی برای تنظیم پارامتر الگوریتم ها استفاده می شود
که پس از آن به سنجش دو الگوریتم پرداخته می شود.

کلیدواژه‌ها


عنوان مقاله [English]

A Multi-product model considering holding and purchasing Costs as an increasing function of order cycle time

نویسندگان [English]

  • Mahnaz Afrasiyabi 1
  • Ahmad Sadeghi 2
چکیده [English]

In this paper classical inventory models, EOQ and EPQ, are developed considering holding and purchasing costs as an increasing continuous function of the ordering cycle time. Two models are presented: first one is economic order quantity and the second one is economic production quantity. Both models are formulated such that backorder is not permitted. Since the obtained model is a type of nonlinear continuous program, solving it with exact methods is impossible at the reasonable time, hence genetic algorithm and particle swarm optimization algorithm are presented to solve the problems. In addition, to increase effectiveness of algorithms, Taguchi method is used for parameters tuning. Finally a numerical example is presented to comprise two methods and results are illustrated.

کلیدواژه‌ها [English]

  • Economic Production
  • Holding Costs
  • particle swam optimization algorithm. *
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