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Malekiyan, Yaser, Mirmohammadi, Seyed Hamid. (1396). Minimizing Net Present Value of Costs in Lot-Sizing in a Two-Echelon Inventory System. , 51(2), 251-264. doi: 10.22059/jieng.2017.62215
Yaser Malekiyan; Seyed Hamid Mirmohammadi. "Minimizing Net Present Value of Costs in Lot-Sizing in a Two-Echelon Inventory System". , 51, 2, 1396, 251-264. doi: 10.22059/jieng.2017.62215
Malekiyan, Yaser, Mirmohammadi, Seyed Hamid. (1396). 'Minimizing Net Present Value of Costs in Lot-Sizing in a Two-Echelon Inventory System', , 51(2), pp. 251-264. doi: 10.22059/jieng.2017.62215
Malekiyan, Yaser, Mirmohammadi, Seyed Hamid. Minimizing Net Present Value of Costs in Lot-Sizing in a Two-Echelon Inventory System. , 1396; 51(2): 251-264. doi: 10.22059/jieng.2017.62215

Minimizing Net Present Value of Costs in Lot-Sizing in a Two-Echelon Inventory System

Advances in Industrial Engineering
مقاله 9، دوره 51، شماره 2، مهر 2017، صفحه 251-264    اصل مقاله (754.05 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jieng.2017.62215
نویسندگان
Yaser Malekiyan؛ Seyed Hamid Mirmohammadi*
Department of Industrial and Systems Engineering, Isfahan University of Technology, Isfahan, Iran
چکیده
In this paper, a two-echelon supplier-manufacturer system has been studied through net present value (NPV) approach. The production rate is finite and constant in both echelons. Also it is assumed that there is a lead-time between the first echelon and it is getting to the second echelon. It is also assumed that the lot-size of manufacturer (second echelon) is m times larger than the supplier’s factors (first echelon), and the supplier can receive wares (the raw material) from the manufacturer in a cycle through several shipments, due to the point that shortage is not allowed. So, it is supposed that the supplier’s production rate is greater than manufacturer’s. The aim is to determine the optimal lot-size of each echelon such that the NPV of the total cost of system is minimized. After approximating the NPV objective function via Maclaurin expansion in both zero and non-zero lead-time cases, an exact algorithm is presented to find optimal solution of the presented model. Based on the results, the two approaches of average cost and NPV do not lead to a same result, and non-equivalency is occurred in this case.
کلیدواژه‌ها
Economic production quantity؛ Lead-time؛ Time values of money؛ Two-Echelon inventory system
عنوان مقاله [English]
کمینه‌سازی ارزش خالص فعلی هزینه‌ها در تعیین اندازۀ دستۀ هماهنگ در یک مدل کنترل موجودی دو رده‌ای
نویسندگان [English]
یاسر ملکیان؛ سید حمید میرمحمدی
کارشناس ارشد دانشکدة مهندسی صنایع و سیستم‌ها، دانشگاه صنعتی اصفهان
چکیده [English]
در این مقاله، یک سیستم دو رده‌ای (دوسطحی) زنجیرۀ تأمین «یک تأمین‌کننده- یک تولیدکننده» به­وسیلۀ رویکرد ارزش خالص فعلی بررسی شده است. نرخ تولید، در هردو رده محدود است. همچنین فرض شده است که بین ارسال دسته از ردۀ اول تا رسیدن آن به ردۀ دوم تأخیر وجود دارد. این امکان نیز درنظر گرفته شده است که اندازۀ دستۀ تولیدی تولیدکننده (ردۀ دوم) چند برابر اندازه دستۀ تولیدی تأمین‌کننده (ردۀ اول) باشد و تولیدکننده بتواند در هر سیکل تولیدی، چند بار (در چند محموله) از تأمین‌کننده، کالا (مواد اولیه) دریافت کند و کمبود نیز مجاز نیست. به همین منظور در مفروضات مسئله، نرخ تولید تأمین‌کننده، بیشتر از نرخ تولید تولیدکننده درنظر گرفته شده است. هدف، تعیین اندازۀ سفارش اقتصادی در هر رده به‌گونه‌ای است که ارزش خالص فعلی هزینۀ کل سیستم کمینه شود. پس از تقریب خطی تابع ارزش خالص فعلی هزینه به­وسیلۀ بسط مک‌لورن در حالات زمان تدارک صفر و غیرصفر، یک الگوریتم دقیق برای یافتن جواب بهینه ارائه شده است. با توجه به نتایج، در مسئلۀ مطرح‌شده در این پژوهش، دو رویکرد هزینۀ متوسط و ارزش خالص فعلی، به یک نتیجه منجر نمی­شود و ناهم‌ارزی اتفاق می‌افتد.
کلیدواژه‌ها [English]
ارزش زمانی پول, اندازۀ دستۀ مشترک, رویکرد هزینۀ متوسط, سیستم دورده‌ای, زمان تدارک
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