Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach

We examine a multi-server queueing system with Poisson arrivals in which customers require simultaneous service from a random number of servers. Servers assigned to the same customer begin and end service concurrently. Service times are, in general, assumed to be exponentially distributed. A system point approach is presented as a framework for obtaining the waiting time distribution for each customer type. Explicit solutions are derived for the two-server system.

• 저널Management Science · 30(1) · 51–68
• 토픽Advanced Queuing Theory Analysis · Management Information Systems
• DOI10.1287/mnsc.30.1.51
• 저자Percy H. Brill, Linda K. Green