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(3). How is the steady state probability distribution changed? Problem 2 There are three machines...
Problem 2 There are three machines and two mechanics in a factory. The break time of each machine...
Problem 2 There are three machines and two mechanics in a factory. The break time of each machine is exponentially distributed with A 1 (per day). The repair time of a broken machine is also exponentially distributed with a mean of 3 hours. (Mechanics work separately) (1). Construct the rate diagram for this queueing system. (be careful about the arrival rate A) (2). Set up the rate balance equations, then solve for pn's. (3). Compute L (4). Compute the actual...
QUESTION 2: Consider a check–out station at a small store with customer arrivals described by a...
QUESTION 2:
Consider a check–out station at a small store with customer
arrivals described by a Poisson process with intensity ? = 10
customers per hour. There are two service team members, Tom and
Jerry, working one per shift. In Tom’s shift, the service times are
exponentially distributed with the mean time equal to 3 minutes,
while for Jerry service times are exponentially distributed with
the mean time equal to 5 minutes.
1. Find the mean queue length during the...
Problem 3 Consider a single-server queueing system that can hold a maximum of two customers exclu...
Problem 3 Consider a single-server queueing system that can hold a maximum of two customers excluding those being served. The server serves customers only in batches of two, and the service time (for a batch) has an exponential distribution with a mean of 1 unit of time. Thus if the server is idle and there is only one customer in the system, then the server must wait for another arrival before beginning service. The customers arrive according to a Poisson...
Arena Simulation Modeling In Model 3-1, suppose that instead of having a single source of parts,...
Arena Simulation Modeling In Model 3-1, suppose that instead of having a single source of parts, there are three sources of arrival, one for each of three different kinds of parts that arrive: blue (as before), Green, and Red. For each color of arriving part, inter-arrival times are exponentially distributed with a mean of 16 minutes. Run the simulation for 480 minutes, and compute the same performance measures as for Model 3-1. Once the parts are in the system, they...
Problem 3 Kenny, a mechanic, just changed jobs. The new car dealership charges a set number...
Problem 3 Kenny, a mechanic, just changed jobs. The new car dealership charges a set number of hours for him to rebuild transmissions. A study from Ford Motor Company found the amount of time it takes a mechanic to rebuild a transmission is Normal with a mean of 8 and a standard deviation of 1.7 hours. Draw a well labeled sketch of this distribution. Include the Empirical Rule cut offs. See Stevens ThinkDO p 21. What time is at the...
The first three answers are correct. Need the final two. Problem 10-16 Customers enter the camera...
The first three answers are correct. Need the final two.
Problem 10-16 Customers enter the camera department of a store at the average rate of nine per hour. The department is staffed by one employee, who takes an average of 3.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. Use Exhibit 10.9. a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the...
clearly indicate the probability distribution being used to solve the problem solve by hand, and verify...
clearly indicate the probability distribution being used to solve the problem solve by hand, and verify your answer using MATLAB. . 1. Two teams, A and B, play a series of games. If team B has a probability 0.4 of winning each game, is it to their advantage to play the best three out of five games or the best four out of seven, and why? Assume the outcomes of successive games are independent. 2. A quality control engineer works...
Problem 2 In recent years, Dolittle Company has purchased three machines. Because of frequent employee turnover...
Problem 2 In recent years, Dolittle Company has purchased three machines. Because of frequent employee turnover in the accounting department, a different accountant was in charge of selecting the depreciation method for each machine, and various methods have been used. Information concerning the machines is summarized in the table below. Useful Life (in vears) Machine Acquired Jan. 1, 2016 July 1, 2017 Nov. 1, 2017 Cost $96,000 85,000 66.000 Salvage Value $12,000 10,000 6,000 Depreciation Method Straight-line Declining-balance Units-of-activity For...
L 2. Steady statemass balance: Water is flowing at steady state in a 0.1 meter-diameter pipe...
L 2. Steady statemass balance: Water is flowing at steady state in a 0.1 meter-diameter pipe with a maximum velocity (turbulent profile) of 0.3 meters/sec. The pipe then goes through an expansion, to where it is then flowing in a 0.5 meter-diameter pipe, and the flow regime has changed from turbulent to laminar. In the second section of pipe, calculate the velocity as (a) block flow profile (Vavg), and (b) maximum velocity in laminar flow profile? HINT: you will need...
For each of the following questions: clearly indicate the probability distribution being used to solve the...
For each of the following questions: clearly indicate the probability distribution being used to solve the problem solve by hand, and verify your answer using MATLAB. 1. Two teams, A and B, play a series of games. If team B has a probability 0.4 of winning each game, is it to their advantage to play the best three out of five games or the best four out of seven, and why? Assume the outcomes of successive games are independent. 2....
Problem 2 There are three machines and two mechanics in a factory. The break time of each machine is exponentially distributed with A 1 (per day). The repair time of a broken machine is also exponentially distributed with a mean of 3 hours. (Mechanics work separately) (1). Construct the rate diagram for this queueing system. (be careful about the arrival rate A) (2). Set up the rate balance equations, then solve for pn's. (3). Compute L (4). Compute the actual...
QUESTION 2:
Consider a check–out station at a small store with customer
arrivals described by a Poisson process with intensity ? = 10
customers per hour. There are two service team members, Tom and
Jerry, working one per shift. In Tom’s shift, the service times are
exponentially distributed with the mean time equal to 3 minutes,
while for Jerry service times are exponentially distributed with
the mean time equal to 5 minutes.
1. Find the mean queue length during the...
Problem 3 Consider a single-server queueing system that can hold a maximum of two customers excluding those being served. The server serves customers only in batches of two, and the service time (for a batch) has an exponential distribution with a mean of 1 unit of time. Thus if the server is idle and there is only one customer in the system, then the server must wait for another arrival before beginning service. The customers arrive according to a Poisson...
Problem 3 Kenny, a mechanic, just changed jobs. The new car dealership charges a set number of hours for him to rebuild transmissions. A study from Ford Motor Company found the amount of time it takes a mechanic to rebuild a transmission is Normal with a mean of 8 and a standard deviation of 1.7 hours. Draw a well labeled sketch of this distribution. Include the Empirical Rule cut offs. See Stevens ThinkDO p 21. What time is at the...
The first three answers are correct. Need the final two.
Problem 10-16 Customers enter the camera department of a store at the average rate of nine per hour. The department is staffed by one employee, who takes an average of 3.0 minutes to serve each arrival. Assume this is a simple Poisson arrival, exponentially distributed service time situation. Use Exhibit 10.9. a-1. As a casual observer, how many people would you expect to see in the camera department (excluding the...
clearly indicate the probability distribution being used to solve the problem solve by hand, and verify your answer using MATLAB. . 1. Two teams, A and B, play a series of games. If team B has a probability 0.4 of winning each game, is it to their advantage to play the best three out of five games or the best four out of seven, and why? Assume the outcomes of successive games are independent. 2. A quality control engineer works...
Problem 2 In recent years, Dolittle Company has purchased three machines. Because of frequent employee turnover in the accounting department, a different accountant was in charge of selecting the depreciation method for each machine, and various methods have been used. Information concerning the machines is summarized in the table below. Useful Life (in vears) Machine Acquired Jan. 1, 2016 July 1, 2017 Nov. 1, 2017 Cost $96,000 85,000 66.000 Salvage Value $12,000 10,000 6,000 Depreciation Method Straight-line Declining-balance Units-of-activity For...
L 2. Steady statemass balance: Water is flowing at steady state in a 0.1 meter-diameter pipe with a maximum velocity (turbulent profile) of 0.3 meters/sec. The pipe then goes through an expansion, to where it is then flowing in a 0.5 meter-diameter pipe, and the flow regime has changed from turbulent to laminar. In the second section of pipe, calculate the velocity as (a) block flow profile (Vavg), and (b) maximum velocity in laminar flow profile? HINT: you will need...
For each of the following questions: clearly indicate the probability distribution being used to solve the problem solve by hand, and verify your answer using MATLAB. 1. Two teams, A and B, play a series of games. If team B has a probability 0.4 of winning each game, is it to their advantage to play the best three out of five games or the best four out of seven, and why? Assume the outcomes of successive games are independent. 2....
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