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Original scientific paper

https://doi.org/10.17535/crorr.2015.0032

Finding an optimal seating arrangement for employees

Ninoslav Čerkez orcid id orcid.org/0000-0003-1284-481X ; IN2 d.o.o., Zagreb, Croatia
Rebeka Čorić orcid id orcid.org/0000-0002-2388-385X ; Department of Mathematics, Josip Juraj Strossmayer University of Osijek, Osijek, Croatia
Mateja Đumić orcid id orcid.org/0000-0001-8980-6315 ; Department of Mathematics, Josip Juraj Strossmayer University of Osijek, Osijek, Croatia
Domagoj Matijević ; Department of Mathematics, Josip Juraj Strossmayer University of Osijek, Osijek, Croatia


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Abstract

The paper deals with modelling a specifc problem called the Optimal Seating Arrangement (OSA) as an Integer Linear Program and demonstrated that the problem can be efficiently solved by combining branch-and-bound and cutting plane methods. OSA refers to a specific scenario that could possibly happen in a corporative environment, i.e. when a company endeavors to minimize travel costs when employees travel to an organized event. Each employee is free to choose the time to travel to and from an event and it depends on personal reasons. The paper differentiates between using different travel possibilities in the OSA problem, such as using company assigned or a company owned vehicles, private vehicles or using public transport, if needed. Also, a user-friendly web application was made and is available to the public for testing purposes.

Keywords

Integer Linear Program; branch and bound; cutting plane method

Hrčak ID:

148271

URI

https://hrcak.srce.hr/148271

Publication date:

31.10.2015.

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