The routine job of scheduling employees within a company can be complex due to the diverse number of combinations available. The "integer goal programming model," when used for employee shift scheduling, lends success in many different types of work environments. This assists in providing practical answers in a quick and efficient manner. The integer programming formulation solves the complex problems within approximately 98% efficiency. This program is versatile enough to be able to handle a vast number of zero-one variables. The flexibility it bestows can make the job of employee scheduling a quick and easy task. The use of this program will ensure that you have the correct number of employees to staff the current needs of the department …show more content…
Variables and Their Relationships

A decision variable is an input that is controllable. This represents the significant decision to be made that will meet our objective. The outcome variables for this problem are to determine what the accurate number of people are to cover each shift to deliver the optimal customer service for our clients while keeping the payroll within the budget set forth by the company. We need to be able to have the correct mix of customer service representatives to make available the greatest resources to meet the needs of our business.
Formulation of the Model

I held a meeting with the manager of the West Coast Customer Service Team and listened to her concerns. Many people on her team want to work the earlier shifts with only a few who were willing to be adaptable. After meeting with the team and explaining to the hardships that the customers are experiencing with her limited staffing later in the day; she handed out the survey asking them to complete it honestly and to be as open-ended as