Answer by A.Omidi for Linearization of a scheduling objective function
Suppose that, the following non-linear objective arises (MAX/MIN): \begin{equation} \max\frac{\sum\limits_{j} a_{j} x_{j}}{\sum\limits_{j} b_{j} x_{j}} \end{equation} 1) Replace the expression...
View ArticleAnswer by prubin for Linearization of a scheduling objective function
You can linearize the objective function, but at the cost of more binary variables and big-M type constraints. Let's assume that we know a priori that the number of employees used will be between 0 (or...
View ArticleAnswer by Oguz Toragay for Linearization of a scheduling objective function
Another approach to model the objective function could be the following where $M$ is a big number that forces the model to choose as few as possible numbers of operators. $$\max \sum_{e,j}...
View ArticleLinearization of a scheduling objective function
I am trying to maximize the workload per employee. An example: $e$ the index of an employee $j$ the index of a project decision variable: $x_{e,j} \in \mathbb{Z}$ and $0 \leq x_{e,j} \leq 100$...
View Article