100% Correct MOS3330 Homework 16 solutions
PA 16-20 (Algo) Huduko Incorporated offers a number of…
Huduko Incorporated offers a number of computer services. Huduko operates with a utilization of 30 percent. The interarrival time of jobs is 10 milliseconds (0.010 second) with a coefficient of variation of 1.5. On average, there are 25 jobs waiting in the queue to be served and 60 jobs in process (i.e., being processed by a server rather than waiting to be sent to a server for processing).
How many servers do they have in this system? Note: Round your answer to the nearest integer.
PA 16-6 (Algo) Max Stamp approves study abroad documents…
Max Stamp approves study abroad documents for the university. Students must wait in line with their forms outside Max’s office. One student at a time is allowed in his office and Max takes precisely 10 minutes to evaluate each student’s set of documents. On average, 3 students per hour go to his office and they spend, on average, 140 minutes trying to get their forms approved (time waiting in queue plus time in Max’s office having him evaluate their documents).
On average, how many students are waiting outside of Max’s office? Note: Round your answer to 1 decimal place.
PA 16-18 (Algo) Experience the Tour de France (ETF) is a…
Experience the Tour de France (ETF) is a specialty travel agent. It arranges vacations for amateur cyclists who want to experience the Tour de France by riding through one or more stages in the race. It has three people who take calls from clients. Each call lasts on average 30 minutes, with a standard deviation of 60 minutes. A call arrives on average every 25 minutes with a standard deviation of 25 minutes.
On average, how many minutes does a caller wait before talking to an agent? Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
PA 16-16 (Algo) The organizers of a conference in the Houston…
The organizers of a conference in the Houston Convention Center are evaluating the possibility of setting up a computer area where attendees can check their e-mail on computers provided by the organization. There will be one common queue for all computers and only one person uses a computer at a time. On average, there are 11 attendee arrivals per hour and the average time a person spends on the computer is 14 minutes. To ensure that waiting times are not too long, the organizers want to ensure that the utilization of the computers doesn’t exceed 85 percent.
At least how many computers do they need to have?
Additional Algo 16-10 Queues when Demand and Service Rates Are Variable – Multiple Servers
At the bus station, there are six lines for arriving passengers, each staffed by a single worker. If the arrival rate for passengers is 108 per hour and each passenger takes (on average) 3.1 minutes for a worker to process.
What is the worker utilization? Note: Round your answer to 3 decimal places.
Additional Algo 16-11 Queues when Demand and Service Rates Are Variable – Multiple Servers
At the stadium, there are five lines for arriving customers, each staffed by a single worker. The arrival rate for customers is 160 per minute and each customer takes (on average) 1.7 seconds for a worker to process. The coefficient of variation for arrival time is 1.5 and the coefficient of variation for service time is 1.3.
How much time (in seconds) will an average customer spend in queue? Note: Round your answer to 3 decimal places.
Additional Algo 16-3 Queues when Demand Exceeds Supply
For the first five seconds of the day, the arrival rate at the gas station is 39 vehicles per second. The gas station is capable of serving 37 vehicles per second. Assume that the system is empty at the start and that no vehicle who arrives leaves without being served.
What is the average wait time for vehicles during this time period (in seconds)? Note: Round your answer to 2 decimal places.
Additional Algo 16-2 Queues when Demand Exceeds Supply
For the first four seconds of the day, the arrival rate at the book store is 44 customers per second. The book store is capable of serving 38 customers per second. The last customers arrives exactly four seconds after the start of the day. Assume that the system is empty at the start and that no customer who arrives leaves without being served.
How long will that customers be in the book store (in seconds)? Note: Round your answer to 2 decimal places.
Solution
PA 16-20 (Algo) Huduko Incorporated offers a number of…
Huduko Incorporated offers a number of computer services. Huduko operates with a utilization of 30 percent. The interarrival time of jobs is 10 milliseconds (0.010 second) with a coefficient of variation of 1.5. On average, there are 25 jobs waiting in the queue to be served and 60 jobs in process (i.e., being processed by a server rather than waiting to be sent to a server for processing).
How many servers do they have in this system? Note: Round your answer to the nearest integer.
Answer and Explanation
Given utilization = 0.3, interarrival time (a = 0.010 second), and number of jobs in process (Ip = 60),
the processing time p = Ip × a = 60 × 0.010 = 0.60.
From Utilization = p / (a × m),
m = p / (Utilization × a) = 0.60 / (0.010 × 0.3) = 200 servers.
Correct Answer is 200 serves
PA 16-6 (Algo) Max Stamp approves study abroad documents…
Max Stamp approves study abroad documents for the university. Students must wait in line with their forms outside Max’s office. One student at a time is allowed in his office and Max takes precisely 10 minutes to evaluate each student’s set of documents. On average, 3 students per hour go to his office and they spend, on average, 140 minutes trying to get their forms approved (time waiting in queue plus time in Max’s office having him evaluate their documents).
On average, how many students are waiting outside of Max’s office? Note: Round your answer to 1 decimal place.
Answer and Explanation
Time in queue = 140 − 10 = 130 minute. Interarrival time = 20 minute.
The average number of customers waiting in the queue = Time in queue / Interarrival time = 130 / 20 = 6.5.
The correct Answer is 6.5 serves. Please click on the Icon below to purchase the full answer at only $5
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