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首页> 外文期刊>International Journal of Production Research >Performance analysis of automatic storage/retrieval systems by stochastic modelling
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Performance analysis of automatic storage/retrieval systems by stochastic modelling

机译：基于随机建模的自动存储/检索系统性能分析

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摘要

This study considers an automated storage/retrieval system that performs either single or dual commands and analyses it as a queuing system with two waiting spaces and one server. It is assumed that the storage and retrieval commands arrive at the system according to Poisson processes with different rates and that the service times of single and dual commands are distributed differently. The steady-state probability distribution of the number of commands in the system at the service completion epochs is derived; subsequently, the semi-Markov process is employed to obtain the distribution at an arbitrary time. Several performance measures are derived and include the expected number of commands in the system, the expected waiting time, the probability that an arbitrary command cannot enter the system (the 'blocking probability') and the utilization of the storage/retrieval machine.
机译：这项研究考虑了执行单个或双重命令的自动化存储/检索系统，并将其分析为具有两个等待空间和一个服务器的排队系统。假设存储和检索命令根据泊松过程以不同的速率到达系统，并且单个和双重命令的服务时间分配不同。得出服务完成时系统中命令数量的稳态概率分布；随后，采用半马尔可夫过程在任意时间获得分布。得出了几种性能度量，包括系统中预期的命令数量，预期的等待时间，任意命令无法进入系统的概率（“阻塞概率”）以及存储/检索机器的利用率。

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