物流配送中的人工拣选作业随机过程模型分析与研究

Taking logistics center manual order picking system optimization design and control as a background, manual picking stochastic distribution function as a starting point, according to the theory of stochastic processes, the order processing stochastic service system and its properties and characteristics are analyzed and studied in this project. At first, the manual picking stochastic distribution is researched. Based on the randomness of order items, in the case of different storage strategies and picking path way, manual picking service time stochastic distribution functions were established and the functions are supposed to be computable analytic formula which can be analyzed in-depth. Secondly, order processing stochastic service system is studied. Considering the Markov property of order arrival, on the basis of manual picking stochastic distribution functions, order process stochastic service system M/G/1, M/G/n, Eb/G/1 and their characteristic and important properties are researched and the results are supposed to be computable analytic formula too. The last is application research. The time of waiting for service, the length of order queuing, the intensity and efficiency of system services are calculated, which can provide more high-quality, more accurate decision-making basis for the optimal design of logistics distribution center. The research results of the project will provide new ideas and ways for supply chain management theory and logistics basic operation technology, and also broaden and deepen the basic application research of the probability and stochastic processes theory in this field.

本项目以物流配送中心人工拣选作业系统的优化设计与控制为背景，依据随机过程理论，以人工拣选随机分布函数为出发点，研究分析订单处理随机服务系统及其属性特征。 首先是对人工拣选随机分布的研究：依据订单物品的随机性，在不同存储、不同拣选路径方式下，分别建立人工拣选服务时间随机分布函数，此函数应是可深入分析、计算的解析式。其次是对订单处理随机服务系统的研究：考虑订单到达的马尔科夫性，在人工拣选随机函数的作用下，研究订单处理过程随机服务系统M/G/1、M/G/n、Eb/G/1及性质和重要属性，其结果应是可计算的解析表达式。再次是应用研究：对订单等待服务时间、订单排队长、系统服务强度和系统服务效率等作出计算，为物流配送中心优化设计提供更加高质量，更加精确的决策依据。 本项目的研究成果将为供应链管理理论及物流配送的基本运作技术提供新思路和新方法，将拓宽和加深概率与随机过程理论在该领域的应用基础研究。

本项目在人工拣选作业模型中，以随机性问题为基础，以订单物品随机性和订单到达随机性为出发点，研究拣选服务时间随机分布和研究订单处理随机服务系统解析式与性质。.依据订单物品的随机性，在分类存储、随机存储的条件下，选择S型和返回型两种拣选路径，分别建立人工拣选作业系统下人工拣选服务时间随机分布函数，此函数应是可深入分析、可计算的解析式；进一步给出运行参数影响人工拣选过程的理论依据。考虑订单到达的马尔科夫性，在人工拣选服务时间随机函数的作用下，研究订单处理过程随机服务系统，分别建立M/G/1、M/G/n、Eb/G/1 系统，分析其性质和重要属性，其结果应是可分析、计算的解析表达式；进而对订单等待服务时间、订单排队长、系统服务强度和系统服务效率等做出计算，研究随机服务系统在物流配送中心优化设计与拣选过程控制中的作用，进一步为物流配送中心优化设计提供更加高质量、高水平及更加精确的决策依据。.本项目的研究成果将为供应链管理理论及物流配送的基本运作技术提供新思路和新方法，将拓宽和加深优化理论与技术在该领域的应用基础研究，适用于配送中心规划设计的决策支持。