Question

UT PA 16-13 (Algo) Camile owns Crunch Code, a company... 10 points Camile owns Crunch Code, a company that provides quick programming solutions. Clients send Crunch projects via their web page and Crunch bangs out the needed code as quickly as possible. Camile has five programmers who do all of the coding. On average, a project arrives once every 4.1 hours, with a standard deviation of 4.2 hours. Each project is assigned to one programmer and that programmer takes on average 18.6 hours to complete each project with a standard deviation of 18.6 hours. Answer is complete but not entirely correct. Round to nearest integer. How many uncompleted projects does Crunch Code have on average at any given time? (Include projects waiting for a programmer as well as those being programmed.) 17 X

Answer 1

Calculation of uncompleted project dores Crunch code have on average at any given time :-

Numbers of server m = 5

Inter arrival time a= 4.1 hours

Service time p = 18.6

CVa = 4.2/4.1 = 1.02

CVp = 1

Utilization u = 4.1/4.2 = 0.98

Expected Waiting time = 13.1 hours

Number of project being programmed = m*u = 5*0.98=4.9

Number of project waiting to be programmed = 13.1/4.1 = 3.2

So average number of uncompleted project dores Crunch code have on average at any given time is = 4.9+3.2= 8.1