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首页> 外文期刊>International Journal of Uncertainty, Fuzziness, and Knowledge-based Systems >Advertisement Policy, Reliability Dependent Imperfect Production and Environmental Pollution Control Problem in Fuzzy-Rough Environment
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Advertisement Policy, Reliability Dependent Imperfect Production and Environmental Pollution Control Problem in Fuzzy-Rough Environment

机译:模糊粗糙环境下的广告政策,依赖可靠性的不完善生产和环境污染控制问题

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摘要

In this study, a problem for advertising policy to avoid the depreciation rate of sale, an imperfect production rate and environmental pollution control is formulated with reliability and rework over a finite time horizon. The advertisement and production rates are function of time which are taken as control variables. Also, recent studies indicate that industrial solid waste (ISW) in production period has been an important contributor to greenhouse gas (GHG) emissions. The company has agreed to invest a large amount of money to manage the ISW through technological up gradation, etc that reduce the GHG in environment. The unit production cost is a function of production rate and also dependent on raw material cost, development cost due to technological up gradation and reliability and wear-tear cost. The total profit which consists of the sales proceeds, marginal selling price, production cost, operating cost, pollution cost, inventory holding cost and advertisement cost is formulated as an optimal control problem. The selling price and all inventory costs are fuzzy rough in nature and using expectation of fuzzy rough technique, the problem is converted into equivalent crisp problem and solved using Pontryagin's Maximum Principle and Generalized Reduced Gradient Method (GRG). Finally numerical experiment, sensitivity analysis for marginal selling price, defective parameter, rework and depreciation rate of sale and graphical representation are provided to illustrate the model.
机译:在这项研究中,制定了避免销售折旧率,不完善的生产率和环境污染控制的广告政策问题,并在有限的时间范围内进行了可靠性和返工。广告和生产率是时间的函数,被当作控制变量。另外,最近的研究表明,生产期间的工业固体废物(ISW)是造成温室气体(GHG)排放的重要因素。该公司已同意投入大量资金,通过技术升级等方式来管理ISW,以减少环境中的温室气体。单位生产成本是生产率的函数,并且还取决于原材料成本,技术升级带来的开发成本,可靠性和磨损成本。由销售收益,边际售价,生产成本,运营成本,污染成本,库存持有成本和广告成本组成的总利润被确定为最优控制问题。销售价格和所有库存成本本质上都是模糊粗糙的,并且使用模糊粗糙技术的期望,将该问题转换为等效的脆性问题,并使用Pontryagin的最大原理和广义简化梯度法(GRG)加以解决。最后通过数值实验,边际销售价格敏感性分析,缺陷参数,返工率和折旧率以及图形表示法对模型进行了说明。

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