In the following attachment are instances used to generate the results reported in:
M. Mesquita-Cunha, J.R. Figueira and A.P. Barbosa-Póvoa, New ϵ−constraint methods for multi-objective integerlinear programming: A Pareto front representation approach, European Journal of Operational Research, https://doi.org/10.1016/j.ejor.2022.07.044.
To generate the following instances, a generator developed by José Rui Figueira was used. For more information on this subject please contact the author at figueira@tecnico.ulisboa.pt.
Each file name is of type xKPy-T0-Cz_h, where x is the number of objective functions, y the number of variables, z the number of constraints and h the instance number.
Each file contains the following row types:
- 'c': these rows correspond to comments and may be ignored
- 'n': the number of variables
- 'g': the number of constraints
- 'i': these rows indicate the coefficients of the constraints and the weights of the objective functions. The first 'g' columns correspond to the constraints' coefficients, while the remaining columns to the objective functions' weights.
- 'W': these rows show the values or the right-hand side of each constraint.