Determine the fraction of the time, Mathematics

Ipswich has two ambulances. Ambulance 1 is based at the local college and ambulance 2 is based downtown. If a request for an ambulance comes from the local college, the college-based ambulance is sent if it is available. Otherwise, the downtown-based ambulance is sent if it is available.  If no ambulance is available, the call is assumed to be lost to the system.  If a request for an ambulance comes from anywhere else in the town, the downtown-based ambulance is sent if it is available.  Otherwise, the college-based ambulance is sent if it is available.  If no ambulance is available, the call is considered lost to the system.  The time between calls is exponentially distributed. An average of 3 calls per hour are received from the college and an average of 4 calls per hour are received from the rest of the town. The average time (exponentially distributed) it takes an ambulance to respond to a call and be ready to respond to another call is shown in the following table.

Table

 

Ambulance comes from

Ambulance goes to

College

Non-college

College

4 minutes

7 minutes

Downtown

5 minutes

4 minutes

i)      What fraction of the time is the downtown ambulance busy?

ii)     What fraction of the time is the college ambulance busy?

iii)    What fraction of all calls will be lost to the system?

iv)    On the average, who waits longer for an ambulance, a college student or a town person?

Posted Date: 3/1/2013 6:00:03 AM | Location : United States







Related Discussions:- Determine the fraction of the time, Assignment Help, Ask Question on Determine the fraction of the time, Get Answer, Expert's Help, Determine the fraction of the time Discussions

Write discussion on Determine the fraction of the time
Your posts are moderated
Related Questions
pythagoras theorem

Easy Rider taxi service charges a pick-up fee of $2 and $1.25 for each mile. Luxury Limo taxi service charges a pick-up fee of $3.25 and $1 per mile. How many miles required to be

how i found largest cluster in percolation

Consider a discrete-time system that is characterized by the following difference equation: Y(n) = x(n)cos? 0 n, where ? 0  is constant value, x(n)are the discrete-time input

how do you find the perimeter of an equalateral triangle

for what value of k,the following system of equations have infinite solutions?kx + 5y -(k-5)=0;20x +ky - k=0


Question: Find Inverse Laplace Transform of the following (a) F(s) = (s-1)/(2s 2 +8s+13)     (b) F(s)= e -4s /(s 2 +1) + (1/s 3 )

write down the order of rotational symmetry of the rectangle