Multilevel refinement for the vehicle routing problem

Multilevel approaches to computational problems are pervasive across many areas of applied mathematics and scientific computing. The multilevel paradigm uses recursive coarsening to create a hierarchy of approximations to the original problem, then an initial solution is found for the coarsest problem and iteratively refined and improved at each level, coarsest to finest. The solution process is aided by the global perspective (or `global view') imparted to the optimisation by the coarsening. This paper looks at their application to the Vehicle Routing Problem.

Mesh partitioning and load balancing for distributed memory parallel systems

A method is outlined for optimising graph partitions which arise in mapping unstructured mesh calculations to parallel computers. The method employs a relative gain iterative technique to both evenly balance the workload and minimise the number and volume of interprocessor communications. A parallel graph reduction technique is also briefly described and can be used to give a global perspective to the optimisation. The algorithms work efficiently in parallel as well as sequentially and when combined with a fast direct partitioning technique (such as the Greedy algorithm) to give an initial partition, the resulting two-stage process proves itself to be both a powerful and flexible solution to the static graph-partitioning problem. Experiments indicate that the resulting parallel code can provide high quality partitions, independent of the initial partition, within a few seconds. The algorithms can also be used for dynamic load-balancing, reusing existing partitions and in this case the procedures are much faster than static techniques, provide partitions of similar or higher quality and, in comparison, involve the migration of a fraction of the data.

A UK perspective on e-learning: an overview of the "workflow" and "reusable learning object" approach in the UK eUniversities project

The UK government started the UK eUniversities project in order to create a virtual campus for online education provisions, competing in a global market. The UKeU (WWW.ukeu.com) claims to "have created a new approach to e-learning" which "opens up a range of exciting opportunities for students, business and industry worldwide" to obtain both postgraduate and undergraduate qualifications. Although there has been many promises about the e-learning revolution using state-of-the-art multimedia technology, closer scrutiny of what is being delivered reveals that many of the e-learning models currently being used are little more than the old text based computer aided learning running on a global network. As part of the UKeU project a consortium of universities have been involved in developing a two year foundation degree from 2004. We look at the approach taken by the consortium in developing global e-learning provisions and the problems and the pitfalls that lay ahead.