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

本计画将研究多服务台随机排队 可变输入和服务率的系统。 该模型假设 每一位顾客都会被吸引到一个 费率取决于系统中等待的客户数量 并且系统通过改变服务速率来响应， 这个号码也是。 研究者将研究队列， 等待时间过程以及到下一个的剩余时间 抵达 他计划研究各种嵌入式和联合过程。 这些模型适用于复杂的交通运输， 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.