A Goal Programming Approach in Solving Garbage Truck Multiple Objective Problem

Solving a single objective function is easy, however it becomes complicated when multiple objectives are considered. Managing garbage trucks and collectors is crucial for solid waste management in sustaining a good and healthy environment such that when the cost of operations also needs to be optimised. This study has multiple objectives that need to be considered which aims to minimize the cost per area serviced to be above target, to minimize the total number of garbage collector needed in serving an area and to minimize the number of areas that cannot be served per day. On top of these three goals, the optimum number of garbage trucks per area per day is determined. The goal programming approach is excellent for solving the multiple objectives of linear programming. The results show that two out of three objective functions achieved the goal of equations as they met all the constraints. The model shows that more than 64% of areas are able to be served daily and the number of trucks needed to serve all areas is 11, which doubles the current value by 180%. The finding gives insight information in identifying the optimal value for the multiple objectives as well as improving the quality of a healthy environment in the future.