IE 580 HW Final pdf.pdf - IE 580 Systems Simulation Homework 1 Answer 1 Evaluation of the four approximation methods of G/G/1 Model by using simulation

# IE 580 HW Final pdf.pdf - IE 580 Systems Simulation...

• 15
• 100% (1) 1 out of 1 people found this document helpful

This preview shows page 1 - 5 out of 15 pages.

IE 580 Systems Simulation Homework 1 Answer 1 Evaluation of the four approximation methods of G/G/1 Model by using simulation. G/G/1 Simulation Model With parameters c = 1 We assume Arrival to follow: Norm(10,7.07) We assume Service to follow: Norm(9,12) We assumed maximum entities to be created as 150 Therefore, ࠵? =1/10 ࠵? =1/9 ࠵?࠵? 2 = squared coefficient of variation of inter arrival time = ࠵? a 2 / ࠵? 2 (A) =50/100 =0.5 ࠵?࠵? 2 = squared coefficient of variation of service time = ࠵? s 2 / ࠵? 2 (S) =144/81 =1.78 ࠵? = Traffic intensity = ࠵? / ࠵?࠵? =0.9 Simulation modelling

Subscribe to view the full document.

Using the following formulae we calculate approximate L q and compare it with the simulation result . For approximation 1, we get Lq (G/G/1) = 9.234 For approximation 2, we get Lq (G/G/1) = 8.9535 For approximation 3, we get Lq (G/G/1) = 8.0705 For approximation 2, we get Lq (G/G/1) = 9.3465
Now we compare it with the simulation result. We see from the above simulation results that the average number of jobs in queue is 7.2532 mins. I.e Lq= 7.2532 mins Which we can compare to the above calculated values from the four approximation methods.

Subscribe to view the full document.

ANSWER 2 Given: Customers arrive to the queue following EXPO(1) Single server who serves on the basis of FCFS.
• Fall '08
• Bruce,S
• Book of Job, Book of Proverbs, Average number of jobs, 7.2532 mins, 7.2532 mins

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes