بسم الله الرحمن الرحيم

 

 

قسم الإحصاء وبحوث العمليات

الاختبار النهائي للفصل الأول 1420-1421 هـ

المادة 342 بحث طرق المحاكاة 2

الزمن ثلاث ساعات

اجب علي جميع الأسئلة التالية

السؤال الأول

عرف المصطلحات التالية و أعطي أمثلة عليها

(a) System state (b) Entity (c) Attributes (d) List (e) Event (f) Event list (g) Activity (h) Simulation clock.

السؤال الثاني

A taxicab company operates one vehicle during the 9:00 A.M. to 5:00 P.M. period. Currently, consideration is being given to the addition of a second vehicle to the fleet. The demand for taxi follows the distribution shown:

Time between Calls (Minutes)

15

20

25

30

35

Probability

0.14

0.22

0.43

0.17

0.04

The distribution of time to complete a service is as follows:

Service Time (Minute)

5

15

25

35

45

Probability

0.12

0.35

0.43

0.06

0.04

a) Simulate the operation of the system for one day by hand.

b) Using ARENA simulate five individual days of operation of the current system and the system with an additional taxicab. Compare the two systems with respect to the waiting times of the customers and any other measures that might shed light on the situation ( like vehicle utilization etc.)