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Linear Programming

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    Linear Programming

    This is a method whereby options and constraints evaluate to a solution.
    Example;

    There are 20 assessments of disabled people to be carried out.
    Each assessment requires a Nurse Practitioner (NP), Care Assistant (CA), Doctor (DR).
    The NP takes 2 hours, the CA takes 3 hours and the DR takes 1 hour to do each assessment.
    There are 8 working hours in each day, however the NP only works 4 hours a day, The CA works 8, and the DR works 6.

    So the problem is, what is the maximum number of assessments which can be carried out in a day given the constraints on staff availability.

    This may help.
    http://people.brunel.ac.uk/~mastjjb/jeb/or/morelp.html

    I believe that up to 3 constraints would be enough to tangle with, so putting in the required time for an assessment, and the constraint for each available skill should come up with an answer as to how many assessments can be made in a period.
    See our Hybrid Option here;
    https://hybridapps.example-software.com/


    Apologies to anyone I haven't managed to upset yet.
    You are held in a queue and I will get to you soon.

    #2
    Re: Linear Programming

    Talk about a complex example in that link!

    In your scenario, are you wanting to have a particular assessment completed in one 8 hour day? If so then wouldn't the NP constraint automatically limit that to 2 per day?
    Robin

    Discernment is not needed in things that differ, but in those things that appear to be the same. - Miles Sanford

    Comment


      #3
      Re: Linear Programming

      No Robin, it's about optimising things. If the staff availability is changed, what does it need to be changed to, in order to carry out more assessments.
      It is really a modelling tool. Say I need 8 assessments a day, given a certain %age of mixed staff availability, how can I optimise it?
      There is an Excel Solver for this analysis, just thought it was worth throwing it out to the coders in the group.

      BTW. I presented a lecture at Brunel regarding "Women in Computing" back in the '80's
      And I trained in their gym.
      See our Hybrid Option here;
      https://hybridapps.example-software.com/


      Apologies to anyone I haven't managed to upset yet.
      You are held in a queue and I will get to you soon.

      Comment


        #4
        Re: Linear Programming

        Two

        Comment


          #5
          Re: Linear Programming

          OK smarty pants. try this example.
          A calculator company produces a scientific calculator and a graphing calculator. Long-term projections indicate an expected demand of at least 100 scientific and 80 graphing calculators each day. Because of limitations on production capacity, no more than 200 scientific and 170 graphing calculators can be made daily. To satisfy a shipping contract, a total of at least 200 calculators much be shipped each day.

          If each scientific calculator sold results in a $2 loss, but each graphing calculator produces a $5 profit, how many of each type should be made daily to maximize net profits

          Answers on a Desktop application please.
          See our Hybrid Option here;
          https://hybridapps.example-software.com/


          Apologies to anyone I haven't managed to upset yet.
          You are held in a queue and I will get to you soon.

          Comment


            #6
            Re: Linear Programming

            This was so bad production problem that I had to code a special Xdialog to solve problem:) Check here.

            Comment


              #7
              Re: Linear Programming

              Thanks Ken. That will do it for a 2 option example. Nice example.
              Have a look at the additional complexity resolution which can be resolved using the Excel Solver, as a 2 item calculation is fairly easy.
              In my 3 person example, the plan is to see what I need to change in order to get more assessments through in a day, and what happens if I need to change the amount of time each person is available.
              See our Hybrid Option here;
              https://hybridapps.example-software.com/


              Apologies to anyone I haven't managed to upset yet.
              You are held in a queue and I will get to you soon.

              Comment

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