Revised multi-segment goal programming: Percentage goal programming

The multi-segment goal programming (MSGP) model is an extension model of GP wherein the core thinking is inherited from the multi-choice goal programming (MCGP) model. In this paper, we recommend certain points of the MSGP model and offer a Revised MSGP Model as an aid to burdened decision makers who cannot expect an either-or selection of coefficients in practice. The proposed model takes into account a scenario in which the selection of all possible coefficients pertaining to each decision variable in the MSGP model can be an in-between selection instead of an exclusive-or selection. We hope this study can fill in a possible gap that might exist when applying the MSGP model, and can offer an extension model for practitioners when they use this model to solve related decision problems.

► We propose a novel model that improves the multi-segment goal programming (MSGP) model.
► The selection of all possible coefficients is an in-between selection instead of an exclusive-or selection.
► The proposed model can obtain a better solution that can result in better goal achievements.
► During solution, the model can decide a proper middle point, in percentage manner, in-between the possible coefficients.
► Many problems that cannot be solved by original MSGP can be smoothly solved by the proposed model.