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نتیجه جستجو - Lagrangian relaxation method

تعداد مقالات یافته شده: 2
ردیف عنوان نوع
1 Developing a two-stage model for a sustainable closed-loop supply chain with pricing and advertising decisions
در حال توسعه یک مدل دو مرحله ای برای یک زنجیره تامین حلقه بسته پایدار با تصمیمات قیمت گذاری و تبلیغات-2021
Closed-Loop Supply Chain (CLSC) has become a critical problem due to its effects on various factors including economic motivations, environmental concerns, and social impacts. Moreover, there are coordination tools, such as pricing and advertising, which impact its performance. In this paper, we offer a two-stage approach to model and solve a sustainable CLSC, taking into account pricing, green quality, and advertising. In the first stage, optimal decisions on pricing, greening, and advertising are made, while in the second stage, a fuzzy multi- objective Mixed Integer Linear Programming (MILP) model is used to maximize the total profit, reduce CO2 emissions, and improve social impacts. Suitable solution methods are introduced according to the scale of the problem. For small-scale instances, an augmented ϵ-constraint method is used to solve the problem. For large-scale instances, approximations are required, and a Lagrangian relaxation algorithm solves the problem in polynomial time. The performance of the proposed model is evaluated through various numerical examples. The results illustrate the applicability and efficiency of the model, while confirming significant improvements in sustainable objectives under optimal pricing, green quality, and advertising. Besides, the proposed Lagrangian relaxation method significantly reduces the computational time for large-scale instances, with only a 2.308% deviation from the optimal results.
Keywords: Sustainable closed-loop supply chain | Multi-objective programming | Supply chain pricing | Augmented ϵ-constraint | Lagrangian relaxation | CO2 emissions
مقاله انگلیسی
2 Supply chain design for efficient and effective blood supply in disasters
طراحی زنجیره تامین برای تامین خون کارآمد و موثر در حوادث-2017
The emergency supply of blood in natural and anthropogenic disasters has proved challenging. This article presents a stochastic bi-objective supply chain design model for the efficient (cost minimizing) and effective (delivery time minimizing) supply of blood in disasters. The blood supply network under investigation is comprised of blood donors, mobile blood facilities, local and regional blood centers and demand points. A hybrid solution approach, combining the ε-constraint and Lagrangian relaxation methods, is developed to solve the proposed model. Our numerical experiments and subsequent dis cussions focus on (1) investigating the utility of the proposed model in solving different size problems, (2) exploring possible tradeoffs between supply chain cost and delivery time, (3) identifying the areas along the supply chain where investments can be made to improve supply chain efficiency and effec tiveness and (4) performance benchmarking of the proposed stochastic programming approach.
Keywords: Humanitarian aid supply chain | Disaster relief operations| Blood supply | Supply chain design | Stochastic |ε-constraint method | Lagrangian relaxation method
مقاله انگلیسی
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