Sectorization: measures and an electromagnetism based approach

Sectorization means dividing a set of basic units into sectors or parts, a procedure that occurs in several contexts, such as political, health and school districting, social networks and sales territory or airspace assignment, to achieve some goal or to facilitate an activity. This presentation will focus on three main issues: Measures, a new approach to sectorization problems and an application in waste collection. When designing or comparing sectors different characteristics are usually taken into account. Some are commonly used, and they are related to the concepts of contiguity, equilibrium and compactness. These fundamental characteristics will be addressed, by defining new generic measures and by proposing a new measure, desirability, connected with the idea of preference. A new approach to sectorization inspired in Coulomb’s Law, which establishes a relation of force between electrically charged points, will be proposed. A charged point represents a small region with specific characteristics/values creating relations of attraction/repulsion with the others (two by two), proportional to the charges and inversely proportional to their distance. Finally, a real case about sectorization and vehicle routing in solid waste collection will be mentioned.

Electromagnetism based approach to Sector design in Waste Collection

For efficient planning of waste collection routing, large municipalities may be partitioned into convenient sectors. The real case under consideration is the municipality of Monção, in Portugal. Waste collection involves more than 1600 containers over an area of 220 km2 and a population of around 20,000 inhabitants. This is mostly a rural area where the population is distributed in small villages around the 33 boroughs centres (freguesia) that constitute the municipality. In most freguesias, waste collection is usually conducted 3 times a week. However, there are situations in which the same collection is done every day. The case reveals some general and specific characteristics which are not rare, but are not widely addressed in the literature. Furthermore, new methods and models to deal with sectorization and routing are introduced, which can be extended to other applications. Sectorization and routing are tackled following a three-phase approach. The first phase, which is the main concern of the presentation, introduces a new method for sectorization inspired by Electromagnetism and Coulomb’s Law. The matter is not only about territorial division, but also the frequency of waste collection, which is a critical issue in these types of applications. Special characteristics related to the number and type of deposition points were also a motivation for this work. The second phase addresses the routing problems in each sector: new Mixed Capacitated Arc Routing with Limited Multi-Landfills models will be presented. The last phase integrates Sectoring and Routing. Computational results confirm the effectiveness of the entire novel approach.

HRM higher education in Europe

Higher education has earned in the recent years an increasing attention in Europe. European Higher Education Area (EHEA) is being developed, a three-cycle qualifications structure is formally in place, the principles of quality assurance are agreed, and a range of mobility instruments is being created. A European Qualifications Framework (EQF) is established (2008), and national qualifications frameworks in Europe should be all be published this year. In the HRM field, higher education is remaining largely unexamined. It is undertheorised and with lack of empirical research, especially if we consider the European reality. With the exception of Brewster et al. (2000) and Boxall et al. (2007), all the research published on the specific HRM higher education field seems to be American (Barber, 1999; Chadwick, 2005; Hayton et al.,2005; Kaufman, 1996, 1999; Langbert, 2005, 2000; Sincoff & Owen, 2004; Van Eyden et al., 1997; Wimbush 2008). This study analyses HRM higher education in Europe with the aim to identify the current trends of European HRM academic qualifications system. In order to provide strategic indicators on the subject, research was carried out in 14 European countries. The sample was constituted by the three cycles defined in Bergen (bachelor, master and PhD) and the primary information source was the Portal on Learning Opportunities throughout the European Space promoted by the European Commission (PLOTEUS). Within a qualitative methodology, qualifications’ structures, approaches, and competencies are explored as main analytical categories.