Mathematical Sciences: Stochastic Processes in Multi-ChannelQueueing Systems with Controlled Input and State-Dependent Service

本课题将研究具有可变投入和服务率的多服务台随机排队系统。该模型假设每个客户将被吸引到排队等待服务的速率取决于系统中等待的客户的数量，并且系统也通过根据该数量改变服务速率来作出响应。调查者将研究排队和等待时间过程以及到下一次到达的剩余时间。他计划研究各种嵌入式和联合工艺。这些模型适用于复杂的运输和库存系统。

This project will study multi-server stochastic queuing systems with variable input and service rate. The model assumes that each customer will be attracted to queue up for service at a rate dependent on the number of customers waiting in the system and the system responds by changing the service rate depending on this number as well. The investigator will study the queuing and the waiting time processes as well as residual time till next arrival. He plans to study various embedded and joint processes. These models are applicable in complex transportation and inventory systems.