Question: Question 3 A In a single pump petrol station, it was observed that the inter-arrival times and service times are as given in the

Question 3 A In a single pump petrol station, it was observed that the inter-arrival times and service times are as given in the table. Inter-arrival time Service time Minutes Probability Minutes Probability 1 0.10 2 0.10 3 0.17 4 0.23 5 0.35 6 0.35 7 0.23 8 0.22 9 0.15 10 0.10 a) construct the appropriate random number mappings for the random variables starting from 00. (3 marks) b) Simulate 15 customers arriving at the using the random numbers given below. (12 marks) c) What is the average time a customer waits for service? (1 mark) d) What is the average time a customer is in the system (wait plus service time) (2 marks) e) What is the percent of time the clerk is busy with customers? (2 marks) Random Numbers To Be Used in the Simulation Customer 1 2 3456 7 8 9 10 11 12 13 14 15 Interarrival time Service Time 0.72 0.08 0.87 0.15 0.04 0.52 0.46 0.96 0.1 0.46 0.96 .00 0.27 0.73 0.76 0.25 0.11 0.02 0.76 0.32 0.1 0.62 0.25 0.9 0.47 0.28 0.83 0.52 0.39 0.68 Use the following headings to complete the simulation Customer RN Time Between Arrival Begin Wait for RN Service End Time in Arrivals Time Service service Time Service System

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Finance Questions!

For the following list of accounts, indicate which side of the T-account causes an increase or decrease. This first account has been done for you. Account Debit Credit Cash Increase Decrease...

Introduction and learning objectives When you were learning about operational analysis earlier in the term, we talked about jobs that require multiple visits to the CPU (or servers) to receive their...

Read the sentence and answer the following question: The scientist said that the findings of the study were not conclusive. Which word should be replaced with something more precise? (5 points) Said...

2. A grocery store has three checkout lanes (checkout 1, checkout 2, and checkout 3), each with a single checker. Shoppers arrive at the checkout area with interarrival times having an exponentia...

industial engineering question Orion The management of a busy petrol station is concerned that customers are being lost because of long waiting times sometimes required their petrol pump. Over two...

Queueing at a TSA Checkpoint: Managing Variability in Business Process Flows Recall that at Newark Liberty International Airport Terminal A, there are 3 separate TSA security checkpoints, one at each...

Question Consider the main gate of a campus university where the security officers perform two types of security checks: ID Check (IDC) and Automobile Trunk Check (ATC). Suppose that the system works...

OPERATIONS MANAGEMENT SIMULATION COMPLETE THE TABLE 9999 MEANS INFINITY We consider the following self explanatory variables: TM = clock time of the simulation AT = scheduled time of the next arrival...

OPERATIONS MANAGEMENT SIMULATION COMPLETE THE TABLE JUST USE EXCEL 9999 MEANS INFINITY We consider the following self explanatory variables: TM = clock time of the simulation AT = scheduled time of...

VIEWVULN2uUCA Exercise 2. Consider the above initial state (0) of a simulation-by-hand of a given FIFO server queue. Complete it and determine the 2 next states (l) and (2) and fill in the blanks to...

WHAT IS THE FORMULA? Directions: Give the formula of the following quantities. Write your answer on the table below. QUANTITY FORMULA 1. VARIANCE 2. STANDARD DEVIATION 3. STANDARD ERROR OF THE MEAN...

What Does Culture Have to Do With It? Culture is an area that we focus on in different ways when discussing organizational life. Culture is difficult to define, but it holds the key to individual...

8. Net Working Capital and Capital Spending (LO3) Could a company's change in NWC be negative in a given year? Explain how this might come about. What about net capital spending?

Question 5 The following equipment is most essential when observing points with a Total Station. (Select only 5) Negative marking will be applied for wrong answer(s) selected. Do not guess! Tripod...

Question 3 The Total Station is used to ONLY measure Horizontal and Vertical Angles. True False

Question 2 The following equipment is most essential when completing a leveling exercise. (Select only 5) Negative marking will be applied for wrong answer(s) selected. Do not guess! Automatic level...

QUESTION 28 Assume the reaction below 2 NO(g) + O 2 (g) 2 NO 2 (g) proceeds via the following rate expression: Which of the following statements concerning the above chemical reaction and rate...

QUESTION 11 What many of water is produced by the complete combustion of 2.68 grams of ethanol, C_2 H_2 OH What mass of water is produced by the complete combustion of 2.68 grams of ethanol, C 2 H 5...

Design a minimum-mass symmetric three-bar truss (the area of member 1 and that of member 3 are the same) to support a load P, as was shown in Fig. 2.9. The following notation may be used: Pu = P cos...

d. Predict peak photovoltage when % absorption is 19.1, and compute the value of the corresponding residual. e. The articles authors claim that there is a useful linear relationship between %...

c. Does there appear to be a useful linear relationship between the two variables?

71. The accompanying data on x diesel oil consumption rate measured by the drainweigh method and y rate measured by the CI-trace method, both in g/hr, was read from a graph in the article A New...