OPERATIONS MANAGEMENT
2nd Edition
ISBN: 9781260238877
Author: CACHON
Publisher: RENT MCG
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Chapter 2, Problem 8CQ
Summary Introduction
To determine: The a (n) for the given information.
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1. Which of the following statements are true about for the M/D/3 queuing system?
Arrival rate is Poison distributed.
I- Service time is Exponentially distributed.
Ill- Inter-arrival is Exponentially distributed.
1v- There are 3 servers,
2. 5.
What is the optimal solution for max Z=×+2y, st., x+ y less than or equal tpo 40, 2x + 4y less thsn or equal to 60, x, y greater than or equal to 0?
A)
Unique optimal solution, Z° = 30
B)
Alternate optimal solutions, z = 30
C)
Unique optimal solution, Z*= 40
D)
infeasible solution
Please do not give solution in image formate thanku.
λ= 4 customers per hour; μ = 5 customers per hour; M= 1
An average of 20 customers arrive at a service center each hour. There are two servers on duty, and each can process 12 customers per hour.
a) What is the system utilization?
b) What is the average waiting time for customers who actually have to
wait?
c) What is the average time customers wait in line for service?
Cakes baked by the Freshfood Bakery are transported fromthe ovens to be packaged by one of three wrappers. Eachwrapper can wrap an average of 120 cakes per hour (Poissondistributed). The cakes are brought to the wrappers at therate of 300 per hour (Poisson distributed). If a cake sitslonger than 5 minutes before being wrapped, it will not befresh enough to meet the bakery’s quality control standards.Does the bakery need to hire another wrapper?
Chapter 2 Solutions
OPERATIONS MANAGEMENT
Ch. 2 - From the perspective of process analysis, which of...Ch. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - It is election day and 1800 voters vote in their...Ch. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - Prob. 8CQCh. 2 - Prob. 9CQCh. 2 - Prob. 10CQ
Ch. 2 - Prob. 11CQCh. 2 - Prob. 1PACh. 2 - For the purpose of process analysis, which of the...Ch. 2 - Prob. 3PACh. 2 - Prob. 4PACh. 2 - Prob. 5PACh. 2 - Prob. 6PACh. 2 - TABLE 2.5 Time Stamps of 10 Customers Who Visited...Ch. 2 - Prob. 8PACh. 2 - Prob. 9PACh. 2 - Prob. 10PACh. 2 - Prob. 11PACh. 2 - Prob. 12PACh. 2 - Prob. 13PACh. 2 - Patients take a drug for severe acne for 6 months...Ch. 2 - Prob. 15PACh. 2 - A large-scale bakery is laying out a new...Ch. 2 - LaVilla is a village in the Italian Alps. Given...Ch. 2 - Prob. 18PACh. 2 - Prob. 19PACh. 2 - Prob. 20PACh. 2 - Prob. 21PA
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- Single server system has customer arrival rate of 60 customers per minute and a service rate of 75 customers per minute. Customer arrival pattern is finite and they won't leave till they are served. The Arrival and Service patterns, both are exponential distribution. Based on the above information calculate a. Server utilization% b. Average numbers of customers in line C. Average time per customer in Line d. Average numbers of customers in system e. Average time per customer in Systemarrow_forwardSaved Help Save & Exit Su In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. a. What is the utilization? (Round your answer to 3 decimal places.) Utilization b. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.) Expected number of customers c. What is the expected waiting time in the system (W? (Express the waiting time in hours, round your answer to 3 decimal places.) Expected waiting time d. What is the expected number of customers in the queue(Lq)? (Round your answer to 3 decimal places.) Mc Graw Hill Prev 1 of 5 Next >arrow_forwardc) i. If an M/M/1 queue has utilization of 90%, what do you think will be the average queue length and the average response time? If the arrival rate is 100 jobs per secondii. If an M/D/1 queue has utilization of 80% do you expect its mean queue length and response time to be less, same, or greater than that of an M/M/1? Explain your answer.arrow_forward
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