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A possibilistic multiple objective pricing and lot-sizing model with multiple demand classes

机译：具有多个需求类别的可能的多目标定价和批量确定模型

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摘要

We address an inventory-marketing system to determine the production lot size, marketing expenditure and selling prices where a firm faces demand from two or more market segments in which the firm can set different prices. Considering pricing, marketing and lot-sizing decisions simultaneously, the model maximizes the profit and return on inventory investment under multiple time varying demand classes. The model is formulated as a fuzzy non-linear multi-objective one where some parameters are ill-known and modeled by fuzzy numbers. A hybrid possibilistic-flexible programming approach is proposed to handle imprecise data and soft constraints concurrently. After transforming the original model into an equivalent multi-objective crisp model, it is then converted to a classical mono-objective one by a fuzzy goal programming method. An efficient solution procedure using particle swarm optimization (PSO) is also provided to solve the resulting non-linear problem.
机译：我们针对库存营销系统来确定生产批量，营销支出和销售价格，如果一个公司面临两个或多个市场细分的需求，则该公司可以设置不同的价格。同时考虑定价，营销和批量决策，该模型在多个时变需求类别下最大化了利润和库存投资回报。该模型被公式化为模糊非线性多目标模型，其中一些参数是未知的，并通过模糊数建模。提出了一种混合可能性-柔性编程方法来同时处理不精确的数据和软约束。将原始模型转换为等效的多目标清晰模型后，再通过模糊目标规划方法将其转换为经典的单目标模型。还提供了使用粒子群优化（PSO）的有效解决方案，以解决由此产生的非线性问题。

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