Using Excel Solver - A company has three different kinds of employees. These are highly trained, moderately trained and untrained workers. The company expects a shift towards more highly trained employees necessary over the next few years. It is possible to train people at a certain cost Laying people off also costs a certain amount. How should the company reorganize to save costs and/or have as few lay-offs as possible? Solution 1) The variables are the number of people that are trained, hired and laid off. On worksheet HireFire these are given the names Trainees, Employees_hired, and Employees_laid_off. 2) The constraints can be divided into 2 parts. First, there are the logical constraints, all of which are defined via the Assume Non-Negative option: Trainees >= 0 Employees_hired >= 0 Employees_laid_off >= 0 Second, we have the training, laying off and hiring constraints. These do not use defined names, but are represented on the worksheet by the following cells: C22 <= B17 C23 <= B16 C26 : C28 <= C9 : C11 C31 : C33 <= B15 : B17 C40 : E42 = C15 : E17 D22 <= C42 D23 <= C41 D26 : D28 <= C9 : C11 D31 : D33 <= C40 : C42 E22 <= D41 E23 <= D42 E26 : E28 <= C9 : C11 E31 : E33 <= D40 : D42 In general, these constraints reflect the movement of employees from being hired untrained to becoming moderately trained or highly trained. 3) The main objective is to minimize cost.
Using Excel Solver - A company has three different kinds of employees. These are highly trained, moderately trained and untrained workers. The company expects a shift towards more highly trained employees necessary over the next few years. It is possible to train people at a certain cost Laying people off also costs a certain amount. How should the company reorganize to save costs and/or have as few lay-offs as possible?
Solution 1) The variables are the number of people that are trained, hired and laid off. On worksheet HireFire these are given the names Trainees, Employees_hired, and Employees_laid_off.
2) The constraints can be divided into 2 parts. First, there are the logical constraints, all of which are defined via the Assume Non-Negative option: Trainees >= 0 Employees_hired >= 0 Employees_laid_off >= 0 Second, we have the training, laying off and hiring constraints.
These do not use defined names, but are represented on the worksheet by the following cells:
C22 <= B17
C23 <= B16
C26 : C28 <= C9 : C11
C31 : C33 <= B15 : B17
C40 : E42 = C15 : E17
D22 <= C42
D23 <= C41
D26 : D28 <= C9 : C11
D31 : D33 <= C40 : C42
E22 <= D41
E23 <= D42
E26 : E28 <= C9 : C11
E31 : E33 <= D40 : D42
In general, these constraints reflect the movement of employees from being hired untrained to becoming moderately trained or highly trained.
3) The main objective is to minimize cost.
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