This thesis contributes to a better understanding of the behavior of queueing networksthat cannot approach a classical equilibrium state.We consider Jackson networks with unreliable nodes which randomly break down andare under repair for a random time. Our networks are described by Markov processesthe states of which incorporate the availability status and the queue-lengths vect...

We identify the asymptotically most likely way in which large queues build up in stationary Jackson networks. We characterize the optimal time-dependent large deviations change of measure on the service, arrival and routing processes that leads to this rare event. The proof uses pathwise time-reversal arguments that may be of independent interest.

We consider a Jackson network with two nodes, with no exogenous input, but instead an infinite supply of work at each of the nodes: whenever a node is empty, it processes a job from this infinite supply. We obtain an explicit expression for the steady state distribution of this system, as an infinite sum of product forms.

We consider networks of queues in which the independent operators of individual queues may cooperate to reduce the amount of waiting. More specifically, we focus on Jackson networks in which the total capacity of the servers can be redistributed over all queues in any desired way. If we associate a cost to waiting that is linear in the queue lengths, it is known how the operators should share t...

Plunkett & Marchman (1993) showed that a neural network trained on an incrementally expanded training set was able to master the past tense and show the U-shaped learning pattern characteristic of children. In Jackson, Constandse & Cottrell (1996) we argued that Plunkett & Marchman’s restriction of the training set was unrealistic and proposed a model of selective attention that enabled our net...

This essay analyses fan reactions to the sexual abuse allegations brought forward against Michael Jackson in Leaving Neverland ( Dan Reed, 2019 ). In particular, it focuses on fans’ production of nonfiction media produced defense Jackson, trying restore artist’s reputation by discrediting his accusers. Based textual and content analysis videos The Innocent Project (MJIP) its wider network, this...

In this paper we consider a Jackson network of independent service stations. To improve upon the total expected waiting time, the stations may redistribute the total arrival rate of customers over all queues. We investigate this situation by means of arrival rate games. These are cooperative TU cost games in which the stations are the players and the total cost of a coalition is linear in the t...