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Homework Help: Formulate a linear program

  1. Dec 13, 2008 #1
    1. The problem statement, all variables and given/known data

    I have an employee scheduling table. The hours of observation and the required number of assistants are as follows:
    shift: assistants(a)
    12 mid - 2 am a=3
    2 am - 4 am a=4
    4 am - 6 am a=4
    6 am - 8 am a=6
    8 am - 10 am a=8
    10 am - 12 noon a=10
    12 noon - 2 pm a=11
    2 pm - 4 pm a=10
    4 pm - 6 pm a=8
    6 pm - 8 pm a=6
    8 pm - 10 pm a=5
    10 pm - 12 am a=4

    Each assistant is paid at the samr hourly rate. Each assistant works eight consecutive hours. I have to only formulate an employee-scheduling Linear Program (i.e write down the objective function and constraints saying what are the decision variable, verbal model and mathematical model)

    2. Relevant equations

    3. The attempt at a solution

    I dont know how to start because all the other question i did on linear programming are simple ones and not about scheduling. please give me a few hints or lead me in the right direction.
    Thank you
  2. jcsd
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