Thread: Factoring response time equation

Remember the calculation of response time in the lecture?

R = SQ + S(2)

Based on one Queuing Theorem:

Q = a * R(3)


Manipulating equations (2) and (3) using Factoring method, we obtain:

S
R = ---------- (4)
1 – a S


Show how you manipulate the two equations (2) and (3) in order to get (4).

The lecture notes remind us that Q=a(SQ=S) if that helps anyone out there. Thanks so much!

Originally Posted by Heather

Remember the calculation of response time in the lecture?

R = SQ + S(2)

Based on one Queuing Theorem:

Q = a * R(3)


Manipulating equations (2) and (3) using Factoring method, we obtain:

S
R = ---------- (4)
1 – a S


Show how you manipulate the two equations (2) and (3) in order to get (4).

The lecture notes remind us that Q=a(SQ=S) if that helps anyone out there. Thanks so much!

I doubt most of us are taking this class with you!

Can you give us some background in regard to what you are talking about?

-Dan

Most of what we are studying right now is factoring and finding GCF. Somehow with this problem you are supposed to be doing factoring, but the only way i see it possible is by starting with substitution.

Originally Posted by Heather

Remember the calculation of response time in the lecture?

R = SQ + S(2)

Based on one Queuing Theorem:

Q = a * R(3)


Manipulating equations (2) and (3) using Factoring method, we obtain:

S
R = ---------- (4)
1 – a S


Show how you manipulate the two equations (2) and (3) in order to get (4).

The lecture notes remind us that Q=a(SQ=S) if that helps anyone out there. Thanks so much!

Oh okay, from the way you phrased the question I thought there was more to it.

So we have:


and



So put the bottom equation into the top:


Now we want to solve for R:


There is a common R to both terms on the left, so factor it:


Now divide:


-Dan

Thank you soooooo much this has been driving me crazy! But now i feel dumb because this was very simple

Originally Posted by Heather

Thank you soooooo much this has been driving me crazy! But now i feel dumb because this was very simple

Don't feel dumb. There have been times I've forgotten how to add. (Seriously!) Everyone has their moments.

-Dan