Question

Please help & show a clear step by step, with the formulas.

PA 16-12 Camile owns Crunch Code, a company.. Camile owns Crunch Code, a company that provides quick programming solutions. Clients send Crunch projects via their webpage 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 4.8 hours, with a standard deviation of 6.00 hours. Each project is assigned to one programmer and that programmer takes on average 19.2 hours to complete each project with a standard deviation of 19.2 hours. 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.) References eBook & Resources Worksheet Difficulty: 3 Hard PA 16-12 Camile owns Learning Objective: 16-03 Crunch Code, a For a queue with variable company... Interarrival and processing times and multiple servers, evaluate several performance measures and understand the factors that influence those measures.

Answer 1

4.8 Number of programmers (server) m Interarrival time a = Std dev of interrival time og = Processing time p = Std dev of processing time op = SCV of Intearrival time Car = (0,/a) = SCV of processing time C = (0/p)' = 6 19.2 19.2 1.56 1.00 hours hours hours hours Utilization, u = p/(ma) = Average number of projects waiting for a programmer T, = (p/m)*(u 0.800 /(1-u))*(C, +C)/2 14.20 hours 4 Number of projects being programmed p = mu = Number of customers waiting to be serviced ly = T/a = 2.96 Average number of uncompleted projects at any time I = 1 + 1 = 6.96

Average number of uncompleted projects at any time = 6.96