Group technology approach to the open shop scheduling problem with batch setup times

This paper studies the problem of scheduling jobs in a two-machine open shop to minimize the makespan. Jobs are grouped into batches and are processed without preemption. A batch setup time on each machine is required before the first job is processed, and when a machine switches from processing a job in some batch to a job of another batch. For this NP-hard problem, we propose a linear-time heuristic algorithm that creates a group technology schedule, in which no batch is split into sub-batches. We demonstrate that our heuristic is a -approximation algorithm. Moreover, we show that no group technology algorithm can guarantee a worst-case performance ratio less than 5/4.

The recovery mechanism of platinum group metals from catalytic converters in spent automotive exhaust systems

The recovery of platinum group metals (PGMs) from catalytic converters of spent exhaust systems is considered in this paper. To be cost-effective, recovery processes must be well over 90% efficient and so the optimisation of their operation is vital. Effective optimisation requires a sound understanding of the operation and the underlying process mechanisms. This paper focuses on pyrometallurgical recovery operations used and typified by the Johnson–Matthey process. Analysis of this process reveals that it cannot be simply explained by the gravity model that is normally assumed. The analysis reveals that the affinity of PGM particles for the melted collector metal is a key factor in the behaviour of the process. A rational explanation of the key issues that govern the process behaviour is proposed and shown to be consistent with available operational data. The results generated would be applicable to other similar processes.

Collector-metal behaviour in the recovery of platinum-group metals from catalytic converters

A commercial pyrometallurgical process for the extraction of platinum-group metals (PGM) from a feedstock slag was analysed with the use of a model based on computational fluid dynamics. The results of the modelling indicate that recovery depends on the behaviour of the collector phase. A possible method is proposed for estimation of the rate at which PGM particles in slag are absorbed into an iron collector droplet that falls through it. Nanoscale modelling techniques (for particle migration or capture) are combined with a diffusion-controlled mass-transfer model to determine the iron collector droplet size needed for >95% PGM recovery in a typical process bath (70 mm deep) in a realistic time-scale (<1 h). The results show that an iron droplet having a diameter in the range 0.1–0.3 mm gives good recovery (>90%) within a reasonable time. This finding is compatible with published experimental data. Pyrometallurgical processes similar to that investigated should be applicable to other types of waste that contain low levels of potentially valuable metals.

BSHM meetings: BMS History of Mathematics Splinter Group

Introduction to abstracts from papers given at BMS History of Mathematics Splinter Group, held 17 April 2007, in Swansea.

Horsham Properties Group Ltd v Clark: possession - mortgagee's right or discretionary remedy?

Comments on the Chancery Division decision in Horsham Properties Group Ltd v Clark on whether a mortgagee's exercise of its contractual right, on the mortgagor falling into arrears, to appoint receivers such that the property could be sold and possession obtained without triggering the court's discretionary powers pursuant to the Administration of Justice Act 1970 s.36 infringed the mortgagor's rights under the European Convention on Human Rights 1950 Protocol 1 art.1. Considers the implications of proposed reforms recasting the mortgagee's right to possession as a discretionary remedy. [From Legal Journals Index]

Managing the supply side for product development in China: a Guanxi network approach

Based on the IMP research tradition this paper regards relationships and networks as key issues in the product development and supply management agenda. Within business networks, co-development is only possible to be analysed when emphasis is placed on interdependences and interactive relationships. Co-development usually implies close relationships that allow companies to rely on each other's resources. Close relationships imply interdependences, which may improve companies' technical and product development. By looking at the actual interactions - between a UK company and its Chinese suppliers - that led to an innovative solution and a successful product launch, evolving relationship patterns are identified and analysed in a case study. Both the literature review and case study findings highlight the importance of the 'guanxi' concept (meaning interpersonal relationships in Mandarin) when analysing business-to-business networks in China. Hence, it is suggested that guanxi-based thinking and acting should be incorporated into the interaction model when considering business networking that embrace China. 'Guanxi' broadens the validity of the interaction model, in terms of geographical proximity, and deepens its theoretical base. The case study provides valuable insights for supply management under a product development context in China. In practice, the main point of interest is that Chinese suppliers are important 'resource' providers as well as 'network' providers. Hence, it is suggested that guanxi practice should be reflected into theoretical developments.

Twenty years of schooling: student reflections on their educational journeys

[From cover and SRHE website] Nearly half of young people go into higher education today compared with around one in five 20 years ago. What do those who have grown up during this time make of their educational experiences? These chapters give an insight into how one group of students at the University of Greenwich experienced the 'education, education, education' stressed so much throughout their lives at school, college and university as the most tested and intensively taught generation in history. They bring sociological ideas to bear on their personal reflections, which are written in a lively style accessible to other students elsewhere, whether in higher education or thinking of going there. They will also be revealing for their teachers and parents. These reflections are a starting point for comparisons across the new system of 'lifelong learning'.