Modelling and solving the bi-objective production–transportation problem with time windows and social sustainability

IF 1.9 3区工程技术 Q3 MANAGEMENT

IMA Journal of Management Mathematics Pub Date : 2021-05-10 DOI:10.1093/IMAMAN/DPAB008

Fatemeh Shahrabi, R. Tavakkoli-Moghaddam, C. Triki, Mahsa Pahlevani, Yaser Rahimi

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引用次数: 3

Abstract

We model and solve the production routing problem (PRP) with time windows, product deterioration and split delivery. A bi-objective PRP model for a single perishable product, which is subject to deterioration, is presented. The two objectives represent the economic and social aspects of sustainability, whereas the environmental impact is enforced by incorporating ad-hoc constraints. The economic dimension of sustainability consists of minimizing the costs related to the production, setup, holding, transportation and lateness penalty. The social responsibilities are modelled through maximizing the total freshness of the delivered products at all nodes over the planning horizon. The outcomes of our formulation are represented by the lot sizes, and the amounts of product to be delivered, as well as the routing at each planning period. To solve the resulting problem, we develop an interval robust possibilistic approach, and we carry out an experimental study and a sensitivity analysis. Finally, we further validate our optimization model and solution method using a real-life case of a food factory producing a product that is subject to perishability and deterioration.

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建模并解决具有时间窗口和社会可持续性的双目标生产-运输问题

我们对具有时间窗口、产品劣化和分批交付的生产路线问题（PRP）进行建模和求解。针对单个易变质产品，提出了一个双目标PRP模型。这两个目标代表了可持续性的经济和社会方面，而环境影响是通过纳入特别约束来实现的。可持续性的经济层面包括最大限度地减少与生产、设置、持有、运输和迟到处罚相关的成本。社会责任是通过在规划范围内最大化所有节点交付产品的总新鲜度来建模的。我们配方的结果由批量、交付的产品数量以及每个计划期的路线来表示。为了解决由此产生的问题，我们开发了一种区间鲁棒可能性方法，并进行了实验研究和灵敏度分析。最后，我们使用一个食品工厂生产易腐烂和变质产品的真实案例，进一步验证了我们的优化模型和解决方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IMA Journal of Management Mathematics OPERATIONS RESEARCH & MANAGEMENT SCIENCE-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

17.60%

发文量

审稿时长

>12 weeks

期刊介绍： The mission of this quarterly journal is to publish mathematical research of the highest quality, impact and relevance that can be directly utilised or have demonstrable potential to be employed by managers in profit, not-for-profit, third party and governmental/public organisations to improve their practices. Thus the research must be quantitative and of the highest quality if it is to be published in the journal. Furthermore, the outcome of the research must be ultimately useful for managers. The journal also publishes novel meta-analyses of the literature, reviews of the "state-of-the art" in a manner that provides new insight, and genuine applications of mathematics to real-world problems in the form of case studies. The journal welcomes papers dealing with topics in Operational Research and Management Science, Operations Management, Decision Sciences, Transportation Science, Marketing Science, Analytics, and Financial and Risk Modelling.