Janez Povh (Author)

Abstract

We consider two classical problems from location theory which may serve as theoretical models for several logistic problems where one wants to assign elements of a set A to elements of a set B such that some linear or quadratic function attains its minimum. It turns out that linear objective function yields a linear assignment problem, which can be solved easily by several primal-dual methods like Hungarian method, Shortest augmenting path method etc. On the other hand, taking quadratic objective function into account makes the problem much harder. The resulting quadratic assignment problem is a very useful model but also very tough problem from theoretical and practical point of view. We list several well-known applications of these models and also the most effective methods to solve the problem. However, it is still a challenging task to solve this problem to optimality when the size of underlying sets A and B is greater than 25 and currently impossible task when the size is greater than 35.

Keywords

quadratic assignment problem;linear assignment problem;branch and bound algorithm;heuristics;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FL - Faculty of Logistics
UDC: 519.863:656.072
COBISS: 512036925 Link will open in a new window
ISSN: 2232-4968
Views: 1367
Downloads: 98
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: Slovenian
Secondary keywords: problem kvadratičnega programiranja;problem linearnega programiranja;metoda razveji in omeji;hevristika;
URN: URN:SI:UM:
Type (COBISS): Scientific work
Pages: 10 str.
Volume: ǂVol. ǂ1
Issue: ǂiss. ǂ3
Chronology: 2008
Keywords (UDC): mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;operational research (or): mathematical theories and methods;operacijsko raziskovanje;applied sciences;medicine;technology;uporabne znanosti;medicina;tehnika;communication and transport industries;accountancy;business management;public relations;komunikacije in transport;knjigovodstvo;poslovni menedžment;stiki z javnostjo;transport and postal services;traffic organization and control;transportne in poštne usluge;organizacija in kontrola prometa;
ID: 1435589
Recommended works:
, no subtitle data available
, gradivo za 1. letnik
, sheme prepoznavanja in nagrajevanja ekonomičnega vedenja za voznike, nabavno službo in vzdrževanje
, predavanje, B2B LOCO delavnica "Poti k uresničitvi poslovnih in raziskovalnih ambicij" v oragnizaciji Centra za ekonomijo transporta, FG UM, Športni park Krsnik, Pesnica pri Mariboru, 9. 6. 2011
, no subtitle data available