基于Python的排队论仿真教学模型设计与实践研究

Design and Practical Research on Queuing Theory Simulation Teaching Model Based on Python

摘要: 排队论作为运筹学的核心分支，其理论抽象、公式复杂、动态过程难以具象化的特点，导致传统课堂教学中存在学生理解困难、应用能力培养不足等问题。为此，文章设计了基于Python的排队论仿真教学方案，构建M/M/1与M/M/c两种经典排队系统仿真模型，通过事件驱动机制模拟顾客到达与服务的动态过程，生成可视化时序对比曲线，实现抽象理论与实践操作的融合。教学实践表明，该仿真教学方案能够有效降低学生对排队论理论的理解难度，提升学生的系统优化思维与实践操作能力，为排队论课堂教学改革提供了可复制、可推广的实践参考。

Abstract: As a core branch of operations research, queuing theory is featured by abstract theories, complex formulas and difficult visualization of dynamic processes, which causes students’ poor understanding and insufficient practical ability in traditional teaching. To address this issue, this paper designs a Python-based queuing theory simulation teaching scheme, constructs M/M/1 and M/M/c classical queuing system models, simulates the dynamic process of customer arrival and service via an event-driven mechanism, and generates visual time-series curves to integrate abstract theories with practical operations. Teaching practice proves that this scheme effectively reduces students’ learning difficulty, improves their system optimization thinking and practical ability, and provides replicable references for the teaching reform of queuing theory.