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Problem 5: 10 points Consider a service station with N- 8 servers. Customer arrivals form a...
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 8: 10 points Consider a queuing system M/M/1 with one server. Customer arrivals form a...
Problem 8: 10 points Consider a queuing system M/M/1 with one server. Customer arrivals form a Poisson process with the intensity A 15 per hour. Service times are exponentially distributed with the expectation3 minutes Assume that the number of customers at t-0, has the stationary distribution. 1. Find the average queue length, (L) 2. What is the expected waiting time, (W), for a customer? 3. Determine the expected number of customers that have completed their services within the 8-hour shift
Consider an n server system where the service times of server i are exponentially distributed with...
Consider an n server system where the service times of server i are exponentially distributed with rate μi, i = 1,..., n. Suppose customers arrive in accordance with a Poisson process with rate λ, and that an arrival who finds all servers busy does not enter but goes elsewhere. Suppose that an arriving customer who finds at least one idle server is served by a randomly chosen one of that group; that is, an arrival finding k idle servers is...
175-5.* A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson...
175-5.* A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson process at a mean rate of 15 per hour. However, if the pump already is heing used, these po- tential customers may balk (drive on to another service station). In particular, if there are n cars already at the service station, the prob- ability that an arriving potential customer will balk is n/3 for n 1. 2, 3. The time required to service a...
Multiple Server Waiting Line Model Regional Airlines Assumptions Poisson Arrivals Exponential Service Times Number of Servers...
Multiple Server Waiting Line Model Regional Airlines Assumptions Poisson Arrivals Exponential Service Times Number of Servers Arrival Rate Service Rate For Each Server Operating Characteristics 4 Probability that no customer are in the system, Po 5 Average number of customer in the waiting line, L 6 Average number of customer in the system, L 7 Average time a customer spends in the waiting line, W 18 Average time a customer spends in the system, W 19 Probability an arriving customer...
Problem 5: 10 points Assume that a mumber N of phone calls handled by a customer...
Problem 5: 10 points Assume that a mumber N of phone calls handled by a customer service representative during one 8-hour shift is Poisson distributed with rate = A = 5 calls per shift. Duration T ofa randomly selected call in minutes is uniformly distributed over the interval (4, 10). Duration values (Th : k = 1,2,.,} do not depend on N. Consider the total time spent on conversations with customers, s-ΣΤ 1. Evaluate expected value of S 2. Determine...
CASE 1-5 Financial Statement Ratio Computation Refer to Campbell Soup Company's financial Campbell Soup statements in...
CASE 1-5 Financial Statement Ratio Computation Refer to Campbell Soup Company's financial Campbell Soup statements in Appendix A. Required: Compute the following ratios for Year 11. Liquidity ratios: Asset utilization ratios:* a. Current ratio n. Cash turnover b. Acid-test ratio 0. Accounts receivable turnover c. Days to sell inventory p. Inventory turnover d. Collection period 4. Working capital turnover Capital structure and solvency ratios: 1. Fixed assets turnover e. Total debt to total equity s. Total assets turnover f. Long-term...
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 8: 10 points Consider a queuing system M/M/1 with one server. Customer arrivals form a Poisson process with the intensity A 15 per hour. Service times are exponentially distributed with the expectation3 minutes Assume that the number of customers at t-0, has the stationary distribution. 1. Find the average queue length, (L) 2. What is the expected waiting time, (W), for a customer? 3. Determine the expected number of customers that have completed their services within the 8-hour shift
175-5.* A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson process at a mean rate of 15 per hour. However, if the pump already is heing used, these po- tential customers may balk (drive on to another service station). In particular, if there are n cars already at the service station, the prob- ability that an arriving potential customer will balk is n/3 for n 1. 2, 3. The time required to service a...
Multiple Server Waiting Line Model Regional Airlines Assumptions Poisson Arrivals Exponential Service Times Number of Servers Arrival Rate Service Rate For Each Server Operating Characteristics 4 Probability that no customer are in the system, Po 5 Average number of customer in the waiting line, L 6 Average number of customer in the system, L 7 Average time a customer spends in the waiting line, W 18 Average time a customer spends in the system, W 19 Probability an arriving customer...
Problem 5: 10 points Assume that a mumber N of phone calls handled by a customer service representative during one 8-hour shift is Poisson distributed with rate = A = 5 calls per shift. Duration T ofa randomly selected call in minutes is uniformly distributed over the interval (4, 10). Duration values (Th : k = 1,2,.,} do not depend on N. Consider the total time spent on conversations with customers, s-ΣΤ 1. Evaluate expected value of S 2. Determine...
CASE 1-5 Financial Statement Ratio Computation Refer to Campbell Soup Company's financial Campbell Soup statements in Appendix A. Required: Compute the following ratios for Year 11. Liquidity ratios: Asset utilization ratios:* a. Current ratio n. Cash turnover b. Acid-test ratio 0. Accounts receivable turnover c. Days to sell inventory p. Inventory turnover d. Collection period 4. Working capital turnover Capital structure and solvency ratios: 1. Fixed assets turnover e. Total debt to total equity s. Total assets turnover f. Long-term...
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