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DECISION-BASED DESIGN USING TIME-VARYING PREFERENCES REPRESENTED BY STOCHASTIC PROCESSES

机译:随机过程所代表的基于时变偏好的决策设计

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摘要

Soliciting and expressing the preferences of a decision maker in engineering design is critical. In general, the preferences vary through time, complicating the design of engineering systems. In this article, we propose that if parameterized utility functions are used to model the preferences, the time-varying characteristics of the parameters can provide valuable information on the likely decisions the decision maker can make at a future time. To model the time-dependent uncertainty in preferences, we use parameterized utility functions with the parameters characterized by stochastic processes and demonstrate how the design process is affected by stationarity properties of the random parameters. We work in the normative utility theoretic domain and show a property of the multiplicative utility function that allows us to use the common Black-Scholes-Merton options pricing model from finance, to account for variability in preferences with time. Finally, we discuss how to modify the design process so that optimal products are ready when there is a future need for them. The applicability of our approach is demonstrated using a cell phone example.
机译:征求和表达决策者在工程设计中的偏好至关重要。通常,首选项会随时间而变化,从而使工程系统的设计复杂化。在本文中,我们建议,如果使用参数化的效用函数对首选项进行建模,则参数的时变特性可以提供有关决策者将来可能做出的决策的有价值的信息。为了对偏好中随时间变化的不确定性进行建模,我们使用参数化的效用函数以及具有随机过程特征的参数,并演示了随机变量的平稳性如何影响设计过程。我们在规范效用理论领域中工作,并展示了乘性效用函数的一个属性,该属性使我们能够使用金融领域的常见Black-Scholes-Merton期权定价模型,以计算偏好随时间的变化。最后,我们讨论如何修改设计过程,以便在将来有需要时可以准备最佳产品。通过手机示例演示了我们方法的适用性。

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