Employment for Projects Formulate the following problem as integer linear programming problem. A company hires employees from a pool of 80 people. Employees are hired on a day to day basis. The pool contains 25 experienced persons. An experienced person can do twice as much work as an inexperienced person in the same time. Our company has n projects for which it has to recruit people. For the upcoming T days employees have to be divided over the projects. For project i (i = 1; :::; n) is w, the amount of required work on day t (t = 1; ::; T); an inexperienced employee can perform one unit of work per day. If an employee it

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IP Applications 4
Employment for Projects
Formulate the following problem as integer linear programming problem. A
company hires employees from a pool of 80 people. Employees are hired on a
day to day basis. The pool contains 25 experienced persons. An experienced
person can do twice as much work as an inexperienced person in the same time.
Our company has n projects for which it has to recruit people. For the upcoming T
days employees have to be divided over the projects.
For project i (i = 1; :::; n) is w, the amount of required work on day t (t = 1; :::; T);
an inexperienced employee can perform one unit of work per day. If an employee
is hired on a certain day, he/she works on the same project all day.
The cost for hiring a normal employee are c, per day and the cost for hiring an
experienced employee are c, per day.
Finally, for every day the minimal number of experienced employees that has to
work on project i equals u,. The company wants to minimize the cost of hiring
employees.
1
Goal: Minimize the cost of hiring employees
Constraints: experienced and inexperienced employees
Transcribed Image Text:IP Applications 4 Employment for Projects Formulate the following problem as integer linear programming problem. A company hires employees from a pool of 80 people. Employees are hired on a day to day basis. The pool contains 25 experienced persons. An experienced person can do twice as much work as an inexperienced person in the same time. Our company has n projects for which it has to recruit people. For the upcoming T days employees have to be divided over the projects. For project i (i = 1; :::; n) is w, the amount of required work on day t (t = 1; :::; T); an inexperienced employee can perform one unit of work per day. If an employee is hired on a certain day, he/she works on the same project all day. The cost for hiring a normal employee are c, per day and the cost for hiring an experienced employee are c, per day. Finally, for every day the minimal number of experienced employees that has to work on project i equals u,. The company wants to minimize the cost of hiring employees. 1 Goal: Minimize the cost of hiring employees Constraints: experienced and inexperienced employees
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