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Nonlinear dynamics in the Beer Distribution Game -- A high-throughput computing analysis.

机译:啤酒分销游戏中的非线性动力学-高通量计算分析。

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摘要

Since the early 1960s, the Beer Distribution Game (BDG) has been used to characterize the various instabilities that arise in multi-stage supply chains. Although an appreciable body of research exists for the BDG and its inherent nonlinear instabilities, there are three apparent technical voids in literature that have been addressed in this dissertation, including: characterizing the difference between discrete- and continuous-valued BDG implementations, characterizing various aspects of the transient behavior of the BDG, and characterizing the impact of both heterogeneously- and homogeneously-implemented Electronic Data Interchange (EDI) and Radio Frequency Identification (RFID) technologies on the nonlinear dynamics of the BDG. This dissertation utilizes numerical simulations, previously-validated data sifting methods, and an ordering heuristic known to mimic human decision making behavior to examine each topic. A high-throughput computing approach to the BDG allowed for, what is believed to be, the most computationally intensive investigation of the BDG to date.;This dissertation seeks to fill the first apparent void by examining the nonlinear behavior of four distinct BDG models: a continuous-variable implementation and three discrete implementations, incorporating conventional, nearest-integer rounding, floor functions, and ceiling functions, respectively. Specifically, numerical simulations and previous-validated data sifting methods are utilized to detail the cost and system response characteristics associated with each game implementation. The acquired results are subsequently compared to one another and used to derive refined ordering policies, which have distinct applicability to the operation of low volume supply chains of indivisible products. The in-depth numerical investigation is followed by a set of agent based simulations that utilize a reinforcement learning technique to learn optimal rounding methods. These rounding methods consist of various combinations of the aforementioned rounding functions and easily defined agent system states, which are based on ordering characteristics and operating costs. These simulations illustrate the effectiveness of reinforcement learning techniques in learning optimal behaviors for a highly nonlinear, often aperiodic, multi-stage supply chain model.;This dissertation seeks to address the second apparent void by examining the transient performance metrics (e.g. settling time, average settling time cost, total setting time cost, and number of stock outages) associated with the prototypical supply chain model -- the BDG. Managerial insights, which both support and contradict common practice, were derived from the data distributions created through extensive simulations.;Process automation and information sharing are becoming increasingly important to the successful operation of supply chains. While previous works have investigated the effects of RFID, EDI, and other transparency technologies on multi-stage supply chain models, the studies completed to date have not fully examined the implications of these technologies on the dynamic behavior of the BDG. This is especially true for supply chains which feature heterogeneously-implemented transparency technologies. This dissertation seeks to fill this apparent technical void, by characterizing the impact of both heterogeneously- and homogeneously-implemented EDI and RFID technologies on the nonlinear dynamics of the BDG. To achieve this, the high-throughput numerical simulations are utilized to characterize the effects of EDI and RFID on the aforementioned transient performance metrics to form a series of succinct conclusions on the relative utility of these technologies.
机译:自1960年代初以来,啤酒分销博弈(BDG)一直被用来刻画多阶段供应链中出现的各种不稳定性。尽管对于BDG及其固有的非线性不稳定性存在大量研究,但本文中针对文献中存在三个明显的技术空白,包括:表征离散值和连续值BDG实现之间的差异,表征各个方面BDG的瞬态行为,并描述了异构实现和均匀实现的电子数据交换(EDI)和射频识别(RFID)技术对BDG非线性动力学的影响。本文利用数值模拟,先前验证的数据筛选方法以及已知的模仿人类决策行为的排序启发法来研究每个主题。 BDG的高通量计算方法被认为是迄今为止BDG在计算上最密集的研究。本论文试图通过研究四个不同BDG模型的非线性行为来填补第一个明显的空白:一个连续变量实现和三个离散实现,分别结合了常规的,最接近整数的舍入,底函数和上限函数。具体来说,利用数值模拟和先前验证的数据筛选方法来详细说明与每个游戏实现相关的成本和系统响应特征。随后将获得的结果相互比较,并用于得出改进的订购策略,该策略对不可分割产品的小批量供应链的运作具有独特的适用性。深入的数值研究之后是一组基于主体的模拟,这些模拟利用强化学习技术来学习最佳舍入方法。这些舍入方法由上述舍入函数和易于定义的座席系统状态的各种组合组成,它们基于订购特性和运营成本。这些仿真说明了强化学习技术在学习高度非线性,通常为非周期性的多阶段供应链模型的最佳行为中的有效性。本文旨在通过研究瞬态性能指标(例如稳定时间,平均与原型供应链模型(BDG)相关的结算时间成本,总设定时间成本和库存中断次数)。从广泛的模拟创建的数据分布中得出了支持和矛盾的实践见解的管理见解。过程自动化和信息共享对于供应链的成功运营变得越来越重要。尽管先前的工作已经研究了RFID,EDI和其他透明度技术对多阶段供应链模型的影响,但迄今为止完成的研究尚未完全检查这些技术对BDG动态行为的影响。对于采用异构实现的透明技术的供应链尤其如此。本论文试图通过表征异构和均匀实施的EDI和RFID技术对BDG非线性动力学的影响来填补这一明显的技术空白。为实现此目的,利用高通量数值模拟来表征EDI和RFID对上述瞬态性能指标的影响,以就这些技术的相对实用性得出一系列简洁的结论。

著录项

  • 作者

    Patterson, Nathan J.;

  • 作者单位

    Purdue University.;

  • 授予单位 Purdue University.;
  • 学科 Engineering Mechanical.;Operations Research.
  • 学位 Ph.D.
  • 年度 2009
  • 页码 134 p.
  • 总页数 134
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

  • 入库时间 2022-08-17 11:37:52

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