Abstract
Many methods can be used to solve multi-objective problems, but not all of them provide truly optimal results because there are still deviations and inefficient use of resources so that they still produce residuals. Resources that are not used in their entirety can reduce the level of optimization in solving multi- objective problems. This happens because we are too forced to solve existing problems rather than redesigning the problem so that it gets satisfactory results. One method that can be used to solve this problem is by using the de novo program. The de novo programming aims to design a more optimal system by expanding resources based on available budgets. The de novo programming changes the function of constraints into form of a budget. This change into one constraint function makes in the feasible solution changes. So it is important to determine the goal for all objectives that have the same importance so that all objectives are achieved at the optimum condition. The objectives of the goals to be achieved must be determined in advance in resolving multi-objective problems. This paper proposes determining the goal objectives using the average concept for objectives that have the same interests. Determination of goals with an averageeachconcept considers the objectives of other goals in determining a goal. Determination of goal objectives using the average concept applied to the goal programming to solve the multi-objective problem of the de novo programming. Solution to the de novo program's multi-objective problem using a modified goal program. The computational results with benchmarking problems show that the proposed method gives satisfactory results and more practical work.
Highlights
One method that can be used in multi-objective problem decision making is the one using the de novo programming
Zeleny argues that the de novo programming is a way to see a system where in addition to optimizing existing systems, it suggests planning an optimal system based on the objective function to obtain high productivity [12]
The goal objectives achieved have an important role in resolving multi-objective problems
Summary
One method that can be used in multi-objective problem decision making is the one using the de novo programming. In solving the multi-objective problem of the de novo programming, Zeleny uses the maximum ideal solution as the initial solution to get the goals to be achieved from each goal [13]. Modifications made are to add new constraints as much as the objective function to be achieved, where the constraints added are the division of the deviation variables divided by the maximum and minimum ideal solution differences whose results are smaller than the total deviation of all goals. Determination of the objectives achieved in this study is the value of the maximum ideal solution for each goal. Determination of the target value of each goal in this study is to consider other decision variables which are optimal solutions of other objective functions. This modification is expected to solve the multi-objective problem of the de novo programming and provide a satisfying solution for all objectives to be achieved
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