Effects of pooling,specialization,and discretionary task completion on queueing performance  

池化、专业化和自主完成任务如何影响平均队列长度

作　　者：JIANG Houyuan 江厚元(剑桥大学嘉治商学院,英国剑桥CB21AG)

机构地区：[1]Judge Business School,University of Cambridge,CB21AG,Cambridge,the United Kingdom

出　　处：《运筹学学报（中英文）》2024年第3期81-96,共16页Operations Research Transactions

摘　　要：Pooling,unpooling/specialization,and discretionary task completion are typical operational strategies in queueing systems that arise in healthcare,call centers,and online sales.These strategies may have advantages and disadvantages in different operational environments.This paper uses the M/M/1 and M/M/2 queues to study the impact of pooling,specialization,and discretionary task completion on the average queue length.Closed-form solutions for the average M/M/2 queue length are derived.Computational examples illustrate how the average queue length changes with the strength of pooling,specialization,and discretionary task completion.Finally,several conjectures are made in the paper.在排队系统中,池化、去池化/专业化和自主完成任务是典型的运营操作策略,这些策略在医疗保健、电话服务中心和线上销售中有广泛应用。这些策略在不同的操作环境中可能有优劣之分。本文使用M/M/1和M/M/2排队模型研究池化、专业化和自主完成任务对平均队列长度的影响。我们推导出M/M/2排队系统的平均队列长度的解析式。通过计算实例展示池化、专业化和自主完成任务如何影响平均队列长度的变化。最后,本文提出了几个猜想。

关 键 词：queuing systems pooling SPECIALIZATION discretionary task completion average queue length 

分 类 号：O226[理学—运筹学与控制论]