یک مدل مکان‌یابی- مسیریابی برای طراحی شبکه زنجیره تأمین شیر تحت ریسک‌های اختلال و عدم قطعیت داده‌ها

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استاد، دانشگاه تهران.

2 کارشناسی ارشد، دانشگاه تهران.

چکیده

از میان تصمیمات مربوط به زنجیره‌تأمین شیر، تصمیمات مربوط به تأمین شیر خام از دامداری‌ها و حمل آن‌ تا محل تولید محصولات لبنی بسیار حائز اهمیت است. در این پژوهش، یک مدل ریاضی مکان‌یابی ـ مسیریابی از نوع امکانی ـ دومرحله‌­ای مبتنی بر سناریو به‌منظور طراحی یکپارچه شبکه زنجیره‌تأمین شیر از دامداری تا کارخانه ارائه شده است. شیر تولیدی دامداران یا توسط خود دامدار تحویل شده یا به‌وسیله وسایل نقلیه جمع‌آوری می‌شود. وقوع اختلال در قالب سناریوهای محتمل در نظر گرفته شده است. در صورت وقوع اختلال، درصدی از ظرفیت مراکز جمع‌آوری و تعدادی از مسیرهای موجود در شبکه از دسترس خارج می‌شوند. به‌منظور برخورد با عدم­قطعیت‌های موجود در پارامترهای مسئله از یک روش برنامه­‌ریزی امکانی ترکیبی که ترکیبی از دو روش خیمنز و همکاران (2007) و برنامه‌ریزی شانسی مبتنی بر اندازه­ی اعتبار می­‌باشد، استفاده ­شده است؛ همچنین به‌دلیل پیچیدگی بالای مدل ریاضی ارائه­ شده و کاهش زمان حل مدل در ابعاد بالا، از الگوریتم آزادسازی لاگرانژ بهره گرفته شده است. مدل ارائه­شده به اخذ تصمیمات بهینه در فرآیند جمع‌آوری و تحویل شیر از دامداری‌ها به مراکز تولید با توجه به محدودیت‌های موجود کمک می‌کند. نتایج محاسباتی، کارایی روش حل را نشان می‌دهد.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

A Location-Routing Model for Milk Supply Chain Network Design under Disruption Risks and Data Uncertainty

نویسندگان [English]

  • S. ALi Torabi 1
  • Mohammadreza Korzebor 2
  • Mansour Doodman 2
1 Professor, University of Tehran.
2 MSc, University of Tehran.
چکیده [English]

Among the decisions related to the milk supply chain, those related to the supply of raw milk from farms to the dairy factories are highly important. In this paper, a two-stage scenario-based possibilistic model is developed for designing a milk supply chain network from farms to the dairy factory in the form of location-routing problem. The milk which is collected by collection center (CC) vehicles or directly is delivered by farmers to CCs. The occurrence of disruption is considered in the form of probable scenarios. A given percentage of capacity of CCs and some of the existing routes might be unavailable under each disruption scenario. A possibilistic programming method is used to cope with epistemic uncertainty in parameters (cost, demand, and milk produced). Because of the mathematical model's high complexity in large sizes, a Lagrangian relaxation algorithm is also devised. The proposed model helps to make optimal decisions in the milk collection process from farms to factories according to existing constraints. The numerical results show the efficiency of the solution approach.

کلیدواژه‌ها [English]

  • Milk Supply Chain
  • Location-Routing
  • Disruption Risks
  • Two-stage Possibilistic Programming
  • Lagrangian Relaxation

مراجع

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