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Fuzzy pricing, marketing and service planning in a fuzzy inventory model: A geometric programming approach

机译：模糊库存模型中的模糊定价，营销和服务计划：一种几何规划方法

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摘要

In the real world markets, demand is influenced by different parameters. Recently, many researchers have been interested in integrated production and marketing planning strategies in inventory models where demand depends on different parameters such as price and/or marketing expenditure. The quality of services that are offered to customers of a product is one of the most important parameters that affects demand in the real markets and has not been considered in development of inventory models. On the other hand, the cost parameters in real inventory systems and other parameters such as price, marketing and service elasticity to demand are imprecise and uncertain in nature. So, the notion of fuzziness can be applied to cope with this uncertainty. In this paper, a new fuzzy profit maximization inventory model with shortages is proposed. The demand is considered as a power function of price, marketing expenditure and service expenditure. Furthermore, unit cost is determined as a power function of order quantity. Since the proposed model is in a fuzzy environment, a fuzzy decision should be made to meet the decision criteria, and the results should be fuzzy. Therefore, the proposed model is formulated and solved using geometric programming and fuzzy optimization techniques to derive an approximation of the results' membership functions. The model is illustrated with a numerical example and finally a case study is provided for evaluation and validation of the results of model.
机译：在现实世界市场中，需求受不同参数的影响。最近，许多研究人员对库存模型中的集成生产和营销计划策略感兴趣，在这些模型中，需求取决于不同的参数，例如价格和/或营销支出。提供给产品客户的服务质量是影响实际市场需求的最重要参数之一，因此在开发库存模型时并未考虑。另一方面，实际库存系统中的成本参数以及诸如价格，营销和服务对需求的弹性之类的其他参数本质上是不精确且不确定的。因此，模糊性的概念可以用来应对这种不确定性。提出了一种新的带有短缺的模糊利润最大化库存模型。需求被视为价格，营销支出和服务支出的幂函数。此外，将单位成本确定为订单数量的幂函数。由于所提出的模型处于模糊环境中，因此应该做出模糊决策以满足决策标准，并且结果应该是模糊的。因此，使用几何规划和模糊优化技术来公式化和求解所提出的模型，以得出结果的隶属函数的近似值。通过数值示例说明了该模型，最后提供了一个案例研究以评估和验证模型的结果。

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