تحلیل زمان و مقدار تخفیف پویا در یک زنجیره تامین دو سطحی با در نظر گرفتن تأمین مالی از محل بدهی کوتاه مدت و سرمایه در گردش

نویسندگان
زهرا خلت آبادی
مرتضی خاکزار بفروئی
نرگس کلاهی
چکیده
در این مقاله، یک زنجیره تامین دو سطحی با یک خریدار و یک تولید‌کننده با سرمایه در گردش ناکافی در نظر گرفته شده است. تولیدکننده در صورت پرداخت زود هنگام خریدار، به ازای هر روز زودتر درصدی تخفیف به خریدار می‌دهد. خریدار و تولیدکننده کمبود نقدینگی را از محل بدهی کوتاه مدت از موسسات مالی تامین می‌کنند. تابع هدف در هر دو سطح زنجیره، سود عناصر زنجیره است و متغیرهای تصمیم طرفین، درصد تخفیف و زمان پرداخت زود هنگام است. تحلیل توابع سود عناصر زنجیره نشان می‏دهد که این توابع دارای نقطه زینی‏ (بحرانی) هستند. با توجه به این موضوع، یافتن محدوده مناسب درصد تخفیف و زمان پرداخت زودتر از موعد مشترک برای طرفین، که بدتر از حالت عدم توافق نباشد دارای اهمیت است. برای تعیین این محدوده، سود تولید‏کننده بیشتر یا مساوی، مقدار سود هنگامی که تخفیف نمی‏دهد قرار داده شده است. در آن محدوده، محدوده نرخ بهره تأمین مالی و نرخ سود حاصل از سرمایه‏گذاری خریدار تحلیل شده است. نتایج نشان می‏دهد که شرایطی وجود دارد که با بکارگیری مکانیزم تخفیف پویا، توافق بین عناصر زنجیره ایجاد کرد.
کلیدواژه‌ها
بهینه ‌سازی
سرمایه در گردش
تخفیف پویا
زمان پرداخت زودهنگام
زنجیره تامین

عنوان مقاله English

Optimizing the time and amount of dynamic discounts in a two-level supply chain considering financing from short-term debt and working capital.

نویسندگان English

Zahra KhalatBabdi
Morteza Khakzar Bafruei
Narges Kolahi
چکیده English

In this paper, a two-level supply chain with one buyer and one producer with insufficient working capital is considered. If the buyer pays early, the manufacturer gives a percentage discount to the buyer for each day early. The buyer and the producer cover the lack of liquidity from short-term debt from financial institutions. The objective function in both levels of the supply chain is the profit and the decision variables of the both level are the discount percentage and early payment time. The analysis of the profit functions of the two level of the chain shows that these functions have a saddle (critical) point. Considering this issue, it is important to find the appropriate range of discount percentage and payment time, which is not worse than disagreement between buyer and producer. To determine this range, the manufacturer's profit is greater than or equal to the amount of profit when not discounting. In that range, the interest rate range of financing and the interest rate of the buyer's investment have been analyzed. The results show that there are conditions that created an agreement between the levels of the supply chain by using the dynamic discount mechanism.

کلیدواژه‌ها English

Optimization
Working Capital
Dynamic Discount
Early Payment Discount Time
Supply chain
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