Using Mixed Integer Programming to Design Employee Rosters
journal contributionposted on 05.06.2017 by Beaumont, Nicholas
Any type of content formally published in an academic journal, usually following a peer-review process.
This paper describes the problem of rostering a workforce so as to optimise a weighted sum of three criteria while satisfying several constraints. The rostering entailed deciding on a pattern of working days and breaks over a period of (typically) one year. Demand had to meet 24 hours each day and 356 days each year. It was possible to formulate this problem as a mixed integer program and, with some experimentation, solve it using an 'off the shelf' linear programming package. The results obtained are compared with rosters the client now uses.