SIMULATION AND MODELING 1. XYZ has a policy of ordering stock when level falls to 15 units the quantity ordered from the supply is always 20 units. The stock at beginning of 1st week is 20 units. The stock holding costs are sh. 10 per week / unit. The cost of placing one order = 25. The stocks out cost are Sh100 per unit. The usage (demand) and lead time (time taken by supply to deliver stock) is uncertain as shown below.NB: Ordering is done the following week upon discovery of the shortages.DemandProbabilityLead timeProbability00.0210.2310.0820.4520.2230.1730.3440.0940.1850.0650.0961.0060.0771.00 Required;Use the following random numbers68 52 50 90 59 08 72 44 95 85 81 93 28 89 15 60 03Use 14 trial numbers to find the cost2. Customers arrive at a milk booth for the required service. Assume that the inter-arrival and service times are constant and are given by 2.4 and 8 time units, respectively. Simulate the system by hand computations for 22 time units. Assume that the system starts at t=0.i. What is the average waiting time per customer?ii. What is the average waiting time per customer for those who must wait?iii. What is the percentage idle time of the facility?

According to the Bartleby rules, I am able to answer only one of the question So I prefer 2nd one

Answered: 2. Customers arrive at a milk booth for…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter13: Decision Making Under Uncertainty

Section13.4: Decision Trees

Problem 9P

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SIMULATION AND MODELING

1. XYZ has a policy of ordering stock when level falls to 15 units the quantity ordered from the supply is always 20 units. The stock at beginning of 1st week is 20 units. The stock holding costs are sh. 10 per week / unit. The cost of placing one order = 25. The stocks out cost are Sh100 per unit. The usage (demand) and lead time (time taken by supply to deliver stock) is uncertain as shown below.

NB: Ordering is done the following week upon discovery of the shortages.

Demand	Probability	Lead time	Probability
0	0.02	1	0.23
1	0.08	2	0.45
2	0.22	3	0.17
3	0.34	4	0.09
4	0.18	5	0.06
5	0.09	6	1.00
6	0.07	7	1.00

Required;

Use the following random numbers

68 52 50 90 59 08 72 44 95 85 81 93 28 89 15 60 03

Use 14 trial numbers to find the cost

2. Customers arrive at a milk booth for the required service. Assume that the inter-arrival and service times are constant and are given by 2.4 and 8 time units, respectively. Simulate the system by hand computations for 22 time units. Assume that the system starts at t=0.

i. What is the average waiting time per customer?

ii. What is the average waiting time per customer for those who must wait?

iii. What is the percentage idle time of the facility?

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