Implications of sensor technology on new product introduction requires critical decisions on divergent marketing and operational aspects. In this paper, we employed the Bass model for a new product that used the sensor technology diffusion from the perspective of the Wagner-Whitin lot-sizing model which discusses this matter related to suitability of sensor technology on the market and operational dimensions. The objective of this study is to propose an uncertain fuzzy approach to specify the new product that applied the sensor technology introduction’s optimum time, price, production scheduling, and rate simultaneously. This model will be applied to analyze the impact of sensor technology diffusion on the market acceptance and some operational parameters, for instance, total customer population, price elasticities, startup and maintenance costs, the unit’s variable cost and research and development costs on optimized benefit, and the product’s optimized lifespan. In this experiment, we have inspiration from the version of the Sale et al. (2017) model which considers uncertainty by using fuzzy triangular numbers and performing the alpha cut method. Moreover, in this research, variable cost is considered as a Cobb-Douglas function. Initially, in Research Methodology, mathematical modeling is applied, wherein utilizing simulation and the experimental design method, data were generated. Eventually, using LINGO optimization software, the problem was solved, and for further examinations considering the existence of various parameters, design of experiment (DoE) by Design-Expert 8 software and response surface methodology was adopted to analyze and optimize the problem’s parameters. The results indicated that the objective function’s climax occurs when the higher limit of alpha being 0.7 is assumed; hence, the optimum state of demand belongs to this amount of alpha.

中文翻译：

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传感器技术对新产品开发以模糊方法解决批量问题的影响的仿真

传感器技术对新产品推出的影响要求在不同的营销和运营方面做出关键决策。在本文中，我们从Wagner-Whitin批量模型的角度对使用传感器技术扩散的新产品采用了Bass模型，该模型讨论了与市场上传感器技术的适用性和运营规模有关的问题。这项研究的目的是提出一种不确定的模糊方法来指定新产品，该新产品同时应用了传感器技术介绍的最佳时间，价格，生产计划和速率。该模型将用于分析传感器技术扩散对市场认可度和一些运营参数的影响，例如，总客户群，价格弹性，启动和维护成本，单位的可变成本和研发成本，以实现最佳效益以及产品的最佳使用寿命。在本实验中，我们从Sale等人的版本中获得了启发。（2017）模型，该模型通过使用模糊三角数并执行alpha割方法来考虑不确定性。此外，在这项研究中，可变成本被视为Cobb-Douglas函数。最初，在研究方法学中，应用了数学建模，其中利用仿真和实验设计方法来生成数据。最终，使用LINGO优化软件解决了该问题，并考虑到各种参数的存在进行了进一步检查，采用了由Design-Expert 8软件设计的实验（DoE）和响应面方法来分析和优化问题的参数。结果表明，假设α的上限为0.7，则出现了目标函数的高潮。因此，需求的最佳状态属于该数量的alpha。