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Multi-item fuzzy-stochastic supply chain models for long-term contracts with a profit sharing scheme

机译：具有利润分配方案的长期合同的多项目模糊随机供应链模型

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摘要

In this study, we develop multi-item multi-objective manufacturer-retailer supply chain models with risk and budget constraints for long-term contracts with a profit sharing scheme in a fuzzy-stochastic environment. The manufacturing costs of the items are fuzzy and the demands for the items are random during each period. We examine two separate models with crisp and probabilistic budget constraints for long-term contracts where the business relationship is repeated, while demand is uncertain in a stochastic sense. The models are formulated as profit maximization problems. Next, the fuzzy compromise programming method, global criteria method, and weighted sum method are used to reduce the multi-objective problems into their corresponding single objective problems. Finally, the problems are solved using a gradient-based nonlinear programming technique: the generalized reduced gradient method. The models are illustrated with numerical examples for different types of stochastic demand and a comparative study is presented.
机译：在这项研究中，我们使用模糊随机环境中的利润共享方案开发了具有风险和预算约束的长期合同的多项目多目标制造商-零售商供应链模型。物品的制造成本是模糊的，并且在每个时期对物品的需求都是随机的。对于长期合同（其中业务关系重复）而需求在随机意义上不确定的情况下，我们研究了两个具有明确和概率预算约束的单独模型。这些模型被公式化为利润最大化问题。接下来，使用模糊折衷规划方法，全局准则方法和加权和方法将多目标问题简化为对应的单目标问题。最后，使用基于梯度的非线性规划技术解决了这些问题：广义归一化梯度法。通过数值示例说明了不同类型的随机需求，并进行了比较研究。

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