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I have 4 employees
each one have Sequential 2 days off in the week
i need a schedule that makes all days of the week i have 3 employees on seat

Scheduling
Mathematics
Operations Research
Workforce Management
Optimization

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Answer

To create a schedule for 4 employees where each has 2 sequential days off per week, ensuring that there are always 3 employees present each day, you can use the following approach:

  1. Assign days off to each employee.
  2. Rotate the days off in such a way that on each day, at least 3 employees are scheduled to work.

Here’s one possible schedule:

  • Employee A: Off on Monday and Tuesday
  • Employee B: Off on Wednesday and Thursday
  • Employee C: Off on Friday and Saturday
  • Employee D: Off on Sunday and Monday

Resulting Schedule:

DayEmployees Working
MondayB, C, D
TuesdayB, C, D
WednesdayA, C, D
ThursdayA, B, D
FridayA, B, C
SaturdayA, B, D
SundayA, C, D

Explanation:

  • On Monday and Tuesday, Employee A is off, leaving B, C, and D.
  • On Wednesday and Thursday, Employee B is off, and A, C, and D are present.
  • On Friday and Saturday, Employee C is off, and A, B, and D are present.
  • On Sunday, Employee D is off, leaving A, B, and C.

This ensures that there are always 3 employees on duty every day of the week. You can modify which days each employee has off if you need a different rotation.

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