Ett informationsblad från matematiska institutionen vid Linköpings universitet. Material till Lite Mat lämnas till Maud Lindström litemat@mai.liu.se senast torsdagar kl 12.00.

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***LITE MAT***

Ett informationsblad från matematiska institutionen vid Linköpings universitet

v49 2003

Matematiska kollokviet

Onsdagen den 3 december, kl. 13.00-14.00 talar Alexandru Aleman, Lund

Analytic contractions and boundary behavior of analytic functions Sammanfattning

There is a large class of contractive linear operators on a separable Hilbert space that can be modeled by the operator of multiplication by the independent variable on a Hilbert space of analytic functions on the unit disc. This talk will focus on a basic problem concerning this model namely, the relation between the abstract properties of the operator in question and the boundary behavior of the functions in the model space. Problems of this type emphasize the interplay between complex analysis and operator theory and in this particular case, they are closely related to index theory and polynomial approximation.

Lokal: ISY/MAIs seminarierum Glashuset, ing 25.
Välkomna!

Vladimir Kozlov,
Svante Linusson och
Stefan Rauch-Wojciechowski

Seminarium i optimeringslära

Onsdagen den 3 december kl 14.15-15.00 talar Mikael Rönnqvist

LapsCare - An operational system for staff planning in home care

Abstract: Presentationen är samma som vann EURO Excellence in Practice Award i Istanbul Juli 2003.

The health care system in Sweden and many other countries is facing increasing costs. The major reason is the changing age distribution of the population with more elderly people in need of support. At the same time, health care systems are often very labor and staff intensive. In this paper, we focus on a staff planning problem arising in Sweden where people receive home care from the local authorities. The planning  problem is  to  find  work  routes to visit

caretakers and at the same time consider a number of restrictions and objectives. Each visit has a particular task to be performed, for example, cleaning, washing, personal hygiene and/or nursing activities. Each staff member has skills and each caretaker should, if possible, be visited by the same contact person. The operational situation is continuously changing and the planning is done each day. We describe the development of a decision support system LapsCare to aid the planners. The system consists of a number of components including information data bases, maps, optimization routines, and report possibilities. We formulate the problem in a set partitioning model and as solution method we make use of a repeated matching algorithm. The system is currently in operation at a number of home care organizations. We report on the practical impact of the system in the health care organization which was involved in the development. The savings are considerably in terms of saved planning time and in the quality of the routes as well as the measured quality for the caretakers. Numerical experiments of the system is presented.

Lokal: ISY/MAIs seminarierum Glashuset, ing 25.

Välkomna!

Licentiatseminarium

Måndagen den 1 december kl 10.15 presenterar David Pettersson sin licentiatavhandling

A Panel Method for Supersonic Flow.

Diskutant är docent Per Weinerfeldt, Saab.

Abstrakt: Supersonic airflow is usually described by a nonlinear hyperbolic system of equations. In this thesis we consider an aircraft represented by a union of thin plates orthogonal to the direction of flight, and describe the derivation of an approximate linear model for the airflow around it. The linear model is reduced to a system of integral equations. We propose a new set of functions to approximate the solution to the integral equation system and a panel method to solve the system in the stationary case based on those functions. A set of exact solutions on an infinite strip is derived and is used to verify the method.

Lokal: Lärosal Schrödinger, Fysikhuset.

Välkomna!
Vladimir Kozlov

Viktigt inför bokslutet 2003-12-31

3 dec Sista dag för inlämning av reseräkningar, konterade och attesterade, som ska med på decemberlönen - Inger Pettersson.

Sista dag för underlag till internfakturor (t ex arbete på annan institution) - Ulla Segring

10 dec Sista dag för inrapportering i lönesystemet - Marthina Flogén, Monika Gustafsson.

12 dec Sista dag för inrapportering i Ladok av aktivitet och försörjning för forskarstuderande.

18 dec Sista dag för underlag till externfakturor och interna omföringar (t ex lönekostnader) inom institutionen.

Kom ihåg att reglera ev reseförskott.

Ulla Segring

Mer information om MAI finns på under MAIs hemsida
Material till Lite Mat lämnas till Maud Lindström senast torsdagar kl 12.00.
Tel 013-281405, Fax 013-100746, Email: litemat@mai.liu.se

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