An improved approximation algorithm for the two-machine open shop scheduling problem with family setup times

We consider the problem of scheduling families of jobs in a two-machine open shop so as to minimize the makespan. The jobs of each family can be partitioned into batches and a family setup time on each machine is required before the first job is processed, and when a machine switches from processing a job of some family to a job of another family. For this NP-hard problem the literature contains (5/4)-approximation algorithms that cannot be improved on using the class of group technology algorithms in which each family is kept as a single batch. We demonstrate that there is no advantage in splitting a family more than once. We present an algorithm that splits one family at most once on a machine and delivers a worst-case performance ratio of 6/5.

Family, community and politics: the fertile legacy of Michael Young

The Institute of Community Studies was set up by Michael Young in order to carry out research on politically relevant social issues, in a context free from direct political control. A research method was devised for it whereby researchers made their own values and objectives very explicit, while staying as close as possible in their reports to the concerns and language of respondents themselves. This method has often been criticized by professional sociologists: but it reflects quite well the nature of social knowledge. It has produced reports which help to increase public understanding of social processes, and provide useful guidance to policy makers. Professional sociology on the other hand has tried to develop a rigorously value-free method. As a result, though, it often seems to be tied implicitly to values shared among researchers but not more universally. Arguably this makes it harder for the general public to understand, and accept, its findings.

Insolvency: ordering a sale of the family home

Comments on the Chancery Division ruling in Nicholls v Lan on whether the interests of a bankrupt husband's creditors prevailed over those of the wife, despite her circumstances being exceptional within the meaning of the Insolvency Act 1986 s.335A on account of her suffering from chronic schizophrenia, where the wife was the joint owner of another property which could be realised to buy out the trustee in bankruptcy's half share in the equity of the matrimonial home.

But no one in my family has been to university - aiming higher: school students attitudes to higher education

In this paper, we present findings from the second stage of a three year longitudinal study involving 3,570 students aged 13-18 in a London Borough looking at the impact of Widening Participation (WP) on the attitudes of students. We outline findings from a previous stage and then focus specifically on two cohorts of Year 10 students (aged 14-15) in two consecutive years. The students completed the specially designed Attitudes to Higher Education Questionnaire (AHEQ) and provided information on WP activities in which they had participated. Data on the students' academic attainment and social backgrounds were also included. There were significant sex and cohort differences and interactions which were found to be related to WP activities specifically aimed at increasing the participation of socially disadvantaged students in higher education. The implications of findings are discussed in relation to theories of social identity and self concept and the implementation of strategies to increase participation in Higher Education