The M/M/1 queue with mass exodus and mass arrivals when empty

An M/M/1 queue is subject to mass exodus at rate β and mass immigration at rate {αr; r≥ 1} when idle. A general resolvent approach is used to derive occupation probabilities and high-order moments. This powerful technique is not only considerably easier to apply than a standard direct attack on the forward p.g.f. equation, but it also implicitly yields necessary and sufficient conditions for recurrence, positive recurrence and transience.

Giving credit where it's due

Discusses the entitlement to occupation rent where one party to a relationship no longer lives in the matrimonial or family home in which he/she has an interest and a right of occupation. Describes the case law illustrating that forceful exclusion of the non-occupying party is not a prerequisite to entitlement to an occupation rent. Considers the calculation of the parties' respective credits where the occupying party has made mortgage repayments since the separation and the other is entitled to an occupation rent.

Trespass revisited

Discusses the Chancery Division ruling in Sinclair v Gavaghan on the measure of damages to be awarded for temporary trespass during the development of land where no physical damage to the land had been sustained. Examines case law prior to Sinclair involving temporary occupation and permanent encroachment. Considers the factors to be taken into account when determining a valuation based on hypothetical negotiations for a licence.

A just claim?

Discusses the law relating to the payment of occupation rent to a co-owner by the party remaining in the property after a relationship breakdown both under the Trusts of Land and Appointment of Trustees Act 1996 and where the Act is not applicable. Considers, with reference to the Chancery Division decision in Re Barcham, whether a trustee in bankruptcy acting on behalf of the non-occupying person can claim an occupation rent under the court's equitable jurisdiction.

Debating the division of labour in healthcare in France and England

As Larson (1990) states, professions are historically specific and ‘there is no pattern of social closure around an occupation that is not inflected by the latter’s past, its specific activity and typical context of performance or…the political context in which closure is obtained.’ Larson’s work focuses particularly on the differences between the establishment of professions in France, where there was considerable state intervention, with that in the US and UK, both of which were more market-oriented. This paper is based on data from an evaluation of a large European exchange programme of staff between Kent and Lille, from 2005 to 2008 and discusses the division of labour in healthcare between two occupational groups, medicine and nursing, in England and in France. This division of labour has been extensively discussed in the UK, particularly since from the mid 1990s the nursing role has been extended and innovations such as nurse prescribing have been introduced, whereas such extended roles have not been introduced in France. The paper draws particularly on interview data from mental health practitioners, in which it is argued that whilst the English nurses may on the surface seem to have a wider range of competences and autonomy, in reality they are more constrained, as they operate under protocols and therefore do not exercise professional judgement. Not only do these data illustrate the centrality of professional judgement in discussions about practice, they also demonstrate the circularity of many debates on extended roles.