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Dynamic Decision Models for Pavement Management Using Semi-Markov Decision Process

机译:基于半马尔可夫决策过程的路面管理动态决策模型

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An important function of a pavement management system (PMS) is to provide decision supports on pavement improvement decision-makings. In this regard, a decision model is used to establish an optimal improvement policy which prescribes an action pertaining to each pavement condition. A policy is optimal if the discounted value of all the expected costs within the planning horizon is minimum. With the successful application of Markov chain theory in pavement deterioration modeling, the theory of Markovian Decision Process (MDP) has become the current state-of-the-art method in decision models (Carnahan et al 1987, Butt et al). This approach treats the transition of pavement performance from the current state to another state under either an improvement action or no human intervention as a Markov chain. The Markov chain deterioration and decision models are well developed and are commonly used in existing PMSs (Golabi et al 1982). However, the underlying assumption of geometric (for discrete time) or exponential (for continuous time) holding times in the Markov-chain model is unneccessarily restrictive. Should we not let the available data determine the appropriate distribution? This paper discusses an alternative approach using the more general semi-Markov Theory.
机译:路面管理系统(PMS)的一项重要功能是为路面改善决策提供决策支持。在这方面,决策模型用于建立最佳改善策略,该策略规定了与每种路面状况有关的动作。如果计划范围内所有预期成本的折现值最小,则该策略是最佳的。随着马尔可夫链理论在路面劣化建模中的成功应用,马尔可夫决策过程(MDP)理论已成为决策模型中的最新技术(Carnahan等,1987; Butt等)。这种方法将道路性能从当前状态过渡到另一个状态,要么采取改善措施,要么无需人为干预就将其作为马尔可夫链。马尔可夫链的恶化和决策模型已得到很好的开发,并普遍用于现有的PMS中(Golabi等,1982)。但是,马尔可夫链模型中几何(对于离散时间)或指数(对于连续时间)保持时间的基本假设是不必要的限制。我们是否不应该让可用数据确定适当的分布?本文讨论了使用更通用的半马尔可夫理论的一种替代方法。

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