# Simulation and modelling assignment | Mathematics homework help

a)      Suppose you are simulating a clinic with one doctor:

Don't use plagiarized sources. Get Your Custom Essay on
Simulation and modelling assignment | Mathematics homework help
Just from \$13/Page

i.            State the type of simulation model you will develop? Justify your answer                      (4 Marks)

ii.            List the state variables you will use to estimate the average delay time for the patients, hence examine the relationship between these variables                                                   (6 Marks)

iii.            List and explain the two events for the system                                                     (4 Marks)

b)      Outline three attributes of Discrete-event simulation models                                                          (3 Marks)

c)      Describe the components of a single-server queuing system                                                        (4 Marks)

d)      State the time variables associated with a single-server queuing system, assuming that the queue discipline is FIFO, and, service is conservative and non-preemptive                                       (6 Marks)

e)       Describe the concept behind Monte Carlo Simulation                                                      (4 Marks)

f)       Discuss four steps that are performed for the Monte Carlo simulation of a physical process  (4 Marks)

g)      Outline the well-accepted random number generation criteria                                                    (5 Marks)

h)      State Lehmer’s algorithm for random number generation                                                (5 Marks)

i)        Given a modulus, m = 13, multiplier, a = 6, and an initial seed x0 = 2, give the resulting full-period sequence of random numbers using Lehmer’s algorithm.                                                 (5 Marks)

a)      The data below shows the arrival time , service time , and delays  for 6 customers arriving at a Barbershop, which has one Barber, and service is offered on a first-come first-served basis.

 i 1 2 3 4 5 6 ai 15 47 71 111 123 152 di 0 11 23 17 35 44 si 43 36 34 30 38 40

i.            Calculate the average interarrival time and the arrival rate                                   (3 Marks)

ii.            Calculate the average service time and the service rate                                        (3 Marks)

iii.            Calculate the average delay in the queue                                                             (2 Marks)

iv.            Calculate the average wait in the service node                                                     (2 Marks)

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.