Please help me answer this question Papaye fast food has a one check out point. Customers arrive at this checkout atrandom from 1 to 8 minutes apart and each interval time as the same probabilityof occurrence. The service time vary from 1 to 6 minutes, with probability givenbelowService23456(mins)Probability 0.100.200.250.300.100.05b) Simulate the arrival of 6 customersc) From your simulation, compute the following(i) Average waiting time for a customer(ii) The probability that a customer has to wait(iii) The probability of a customer being idle(iv) The average service time(v) The average time between arrivalUse the following sequence of random numbers:Random digit for arrival: 913, 727, 015, 948, 309, 922

b) Simulate the arrival of 6 austomers c) From your simulation, compute the following (i) Average waiting time for a customer (ii) The probability that a customer has to wait (iii) The probability of a customer being idle (iv) The average service time (v) The average time between arrival

b) Simulate the arrival of 6 austomers c) From your simulation, compute the following (i) Average waiting time for a customer (ii) The probability that a customer has to wait (iii) The probability of a customer being idle (iv) The average service time (v) The average time between arrival

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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Concept explainers

Customer Experience

Customer experience is a customer's response to a company and its products and services. This approach shows customer loyalty and potential toward goods and services offered by a company. Customer experiences are based on their taste, preferences, and services provided by the company. Customers have simple logic—they stay if they are satisfied. If not, their loyalty shifts to the competitors who satisfy their wants. Companies should take care of their product, production, selling, and marketing as they are crucial in increasing customer satisfaction.

Question

Please help me answer this question

Papaye fast food has a one check out point. Customers arrive at this checkout at
random from 1 to 8 minutes apart and each interval time as the same probability
of occurrence. The service time vary from 1 to 6 minutes, with probability given
below
Service
2
3
4
5
6
(mins)
Probability 0.10
0.20
0.25
0.30
0.10
0.05
b) Simulate the arrival of 6 customers
c) From your simulation, compute the following
(i) Average waiting time for a customer
(ii) The probability that a customer has to wait
(iii) The probability of a customer being idle
(iv) The average service time
(v) The average time between arrival
Use the following sequence of random numbers:
Random digit for arrival: 913, 727, 015, 948, 309, 922

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