LECTURE : SIMULATION AND MODELLING

FILL THE TABLE BELOW ACCORDING TO THE INFORMATIONS GIVEN ABOVE

4. A drive-in restaurant where carhops take orders and bring food to the car. Assumptions; (30p) There are three services A, B and C. Service-C will replace it if any service is broken. A simplifying rule is that service-A gets the customer if both carhops (Service A and B) are idle. If both are busy, the customer begins service with the first server to become free. Service-A breaks in the 29th minute. And after 5 minutes, Service-C begins the serivce time instead of Service-A. Table-l Interarrival distribution of cars Tim e cumbulative Random-digit between Arrivaus Probability Probability assignment (minutes) Table-3 service distribution of B Service time probability Cumulative Random-dig? minutes probability assignment 3 0.35 0:35 00-34 4 0:20 0.55 3554 S 0:20 075 55 - 74 6 015 o.go 175-89 7 010 90-99 - 0.15 o.is 2 0.20 3 0-30 0.35 0.65 0.90 00-14 15-34 35 - 64 65 -89 B 90-99 1.00 4 S 0.25 0.10 . Table 2 Service distribution of A service cu mulatwe pundom-clight time Probability Probability assignment (minutes) 0:33 0.33 60 - 32 3 0.55 33 -54 4 0:20 0.75 SS - 74 S 0.90 75-89 6 0:10 90-99 Table-4. Service distribution of c(stand-by) service cumulative Random time Probability probability digit (minutes) assignment 19 3 0.40 .39 5 0.20 0.60 6 0.80 60-79 7 1.00 80-99 1 0:20 0.20 00 0.20 O is 4059 0-25 0:20 Service - A Service - B Service-C (Stand-by) (A) Customer No (B) Random digits for Arrival (c) Time between arrival (minutes) (D) Clock time of Arrival (E) Random digits for Service (G) Service time (F) Time service begins (0) Time in Queue (H) Time service ends () Service time (0) Time service begins (K) Time service ends (M) Service time (L) Time service begins (N) Time service ends 1 0 75 2 26 21 3 98 51 4 90 92 5 26 91 6 42 38 7 74 13 00 80 95 9 68 61 10 14 50 11 67 49 12 34 34 13 45 56 14 14 99 15 99 01 16 91 58 17 18 10 60 70 18 19 61 21 20 15 45 21 54 32 22 78 12 23 90 6 24 44 87 25 3 75