Transient analysis of a queue where potential customers are discouraged by queue length

Queues where customers of one queue act as servers of the other queue

We consider a system comprised of two connected M/M/•/• type queues, where customers of one queue act as servers for the other queue. One queue, Q1, operates as a limited-buffer M/M/1/N − 1 system. The other queue, Q2, has an unlimited-buffer and receives service from the customers of Q1. Such analytic models may represent applications like SETI@home, where idle computers of users are used to p...

Fluid Queues Driven by a Discouraged Arrivals Queue

We consider a fluid queue driven by a discouraged arrivals queue and obtain explicit expressions for the stationary distribution function of the buffer content in terms of confluent hypergeometric functions. We compare it with a fluid queue driven by an infinite server queue. Numerical results are presented to compare the behaviour of the buffer content distributions for both these models. 1. I...

Bmap/g/1 Queue under D-policy: Queue Length Analysis

Transient analysis of a two-heterogeneous servers queue with system disaster, server repair and customers’ impatience

A two-heterogeneous servers queue with system disaster, server failure and repair is considered. In addition, the customers become impatient when the system is down. The customers arrive according to a Poisson process and service time follows exponential distribution. Each customer requires exactly one server for its service and the customers select the servers on fastest server first basis. Ex...

Monopoly Pricing When Customers Queue

It takes time to process purchases and as a result a queue of customers may form. The pricing and service rate decisions of a monopolist who must take this into account are characterized. We nd that an increase in the average number of customers arriving in the market either has no e ect on the monopoly price, or else causes the monopolist to reduce the price in the short run. In the long run t...