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]

Verbal abuse experienced by student nurses

Aim: This paper is a report of a study to describe the nature, severity, frequency and sources of verbal abuse experienced by nursing students while gaining clinical experience. Background: Verbal abuse of healthcare workers is currently receiving considerable attention and nursing students have been identified as a group vulnerable to experiencing workplace verbal abuse. Method: Questionnaires were distributed in 2005 to a convenience sample of 156 third year nursing students from one pre-registration nursing programme in England. A total of 114 questionnaires were returned, giving a response rate of 73.0%. Findings: Experience of verbal abuse was reported by 45.1% of respondents, 34.5% had witnessed other students experiencing this and 65.5% reported that they were aware of other students experiencing verbal abuse. The incidents involved patients in 64.7% of cases, 15.7% involved visitors or relatives and 19.6% involved other healthcare workers. Students reported experiencing threats to kill them, racial abuse and sexually oriented verbal abuse, with the majority of incidents occurring in general medical, mental health and general surgical clinical areas. Conclusion: Education and healthcare providers should prepare students to manage negative verbal exchanges during nursing education, and policies and support networks relating to managing verbal abuse in clinical practice should be available to nursing students.

The exposure to verbal abuse of student nurses gaining placement experience

Clinical placement experience has a key role to play in the socialisation and preparation of future members of the nursing profession. Aggression experienced by healthcare workers is currently receiving considerable attention and student nurses have been identified as a group vulnerable to experiencing workplace abuse (Little 1999). The primary aim of the study is to gain a greater understanding of the nature, severity, frequency and sources of verbal abuse experienced by student nurses in health care settings in the south east of England, using as a definition, “the use of inappropriate words… causing distress” (Department of Health 2003). A convenience sample of 156 third year student nurses of all four branches of one preregistration nursing programme in the south east of England was studied with questionnaires distributed retrospectively; 11 4 student nurses returned the questionnaires equating to a response rate of 73%. Results 46% of respondents reported experiencing verbal abuse, 39% had witnessed other students experiencing verbal abuse and 61% reported that they were aware of other students experiencing verbal abuse. Students reported experiencing threats to kill, racial abuse, sexually orientated verbal abuse and bullying while gaining placement experience. Student nurses are a high risk group for experiencing verbal abuse whilst gaining placement experience.In the literature, mental health and learningdisability settings are viewed as high risk areasfor experiencing aggression (Beech and Leather 2003); this study suggests that student nurses experience verbal abuse in a variety of settings and verbal abuse may be more prevalent on general medical and surgical wards than previously expected.