Some Applications of Multiple Classes G-Networks with Restart

Abstract

Abstract.We show how to model system management tasks such as load-balancing and delayed download with backoff penalty using G-networks with restart. We use G-networks with a restart signal, multiple classes or positive customers, PS discipline and arbitrary PH service distribution. The restart signal models the possibility to abort a task and send it again after changing its class and its service distribution. These networks have been proved to have a product form steady-state distribution.

G-Networks and the Performance of ICT with Renewable Energy

“…Stability conditions for G-networks were given in [58]. Multiple class models and relevant work were developed in a series of papers [12,22,23,47,95]. A special type of customer known as a "trigger" which is able to push an existing customer at a queue to another queue was introduced in [30].…”

“…There are also other G-network models. For instance, G-networks with "resets" [42,70], with "adders" [20] and with restarts [22,23], which have been developed and adopted in a number of applications in computer systems modeling and other fields.…”

“…The data or other traffic are carried out as data packets (DPs) rather than jobs. These DPs arrive from outside the network in the form of a random process representing the data or other traffic (22)…”

Optimal Energy Distribution With Energy Packet Networks

“…When "adder" [8] which is another type of customer arrives at a service center, it acts as a load regulator to probabilistically change the queue length at the service center. G-networks have also been applied to restart problems [9,10] where the user can abort and resubmit a running job which exceeds a deadline. The tandem G-networks were investigated to study the response time probability distribution in [40] and the computer networks with blocking in [36].…”