سیاست پرداخت معوقه در مدل کنترل موجودی کالای فاسدشدنی با تقاضای کوادراتیک با درنظرگرفتن کمبود پس‌افت

نوع مقاله : مقاله پژوهشی

نویسندگان

1 مربی، دانشگاه صنعتی قوچان.

2 استادیار، دانشگاه صنعتی شاهرود.

3 مربی، دانشگاه تربت حیدریه.

چکیده

در اﯾﻦ پژوهش یک مدل جامع برای برنامه‌ریزی و ﮐﻨﺘﺮل ﻣﻮﺟﻮدی ﮐﺎﻻﻫﺎی ﻓﺴﺎدﭘﺬﯾﺮ ﺑﺎ مجاز­بودن بروز ﮐﻤﺒﻮد ارائه شده است. تابع تقاضا دارای ماهیت کوادراتیک ‌‌(تابع درجه دوم زمان)‌ است. در اﯾﻦ ﻣﺪل ﺳﯿﺴﺘﻢ ﻣﻮﺟﻮدی‌، برنامه‌ریزی برای تأمین یک ﮐﺎﻻ با نرخ ﻓﺴﺎد ﺛﺎﺑﺖ و کمبود به‌صورت پس‌افت کامل انجام می‌شود. هدف از مدل پیشنهادی، تعیین زمان چرخه‌ مناسب سفارش به‌منظور بیشینه‌کردن سود کل سیستم موجودی است. ﻣﺪلﺳﺎزی ﻣﺴﺌﻠﻪ در دو قالب مدت‌زمان اتمام موجودی انبار، پیش و پس از زمان ابلاغی از جانب تأمین‌کننده به خرده‌فروش برای تسویه‌حساب‌ها ارائه شده است. مدل پیشنهادی با استفاده از یک الگوریتم روش حل دﻗﯿﻖ توسعه‌یافته حل شده است. نتایج محاسباتی حاکی از کارایی مدل پیشنهادی به‌منظور برنامه‌ریزی تأمین کالاهای فسادپذیر است.

کلیدواژه‌ها

عنوان مقاله [English]

Delayed Payment Policy in the Inventory Model of Deteriorating Goods with Quadratic Demand in Order to Backlogging Shortage

نویسندگان [English]

  • Javad Hasanpour 1
  • Aliakbar Hasani 2
  • Mohammad Ghodoosi 3
1 Faculty member, Quchan University of technology.
2 Faculty member, Shahrood University of technology.
3 Faculty member, Torbat Heydarieh University.
چکیده [English]

In this paper, a comprehensive model for inventory control of deteriorating goods via considering backlogging shortage is proposed. The demand function is in quadratic form, the second-order function of time. A fixed deteriorating rate of goods and complete backlogging shortage condition as well as their related costs and planning requirements such as delayed payment policy are considered. The aim of the proposed mathematical model is to determine the appropriate order cycle time in order to maximize the total profit of the inventory management system. An exact solution algorithm is developed to solve the proposed complex model. The computational obtained results indicate the efficiency of the proposed model and solution algorithm for considering good deterioration under backlogging shortage condition with quadratic demand function.

کلیدواژه‌ها [English]

  • Quadratic Demand
  • Deteriorating Items
  • Backlogging Shortage
  • Depreciation Rates
  • Commercial Credit

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