If the exponential service time is replaced by deterministic service time, then the average length of the waiting line:
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The reordering point increases |
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There is no change either in the order quantity or the reordering point |
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It depends on the cost parameters |
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The order quantity increases |
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There is no change either in the order quantity or the reordering point |
Since there is no variation observed in the serving time, the order quantity or the reordering point shall remain the same.
If the exponential service time is replaced by deterministic service time, then the average length of...
On average, 90 patrons per hour arrive at a hotel lobby (interarrival times are exponential) waiting to check in. At present there are five clerks, and the patrons wait in a single line for the first available clerk. The average time for a clerk to service a patron is 3 minutes (exponentially distributed). Clerks earn $10 per hour, and the hotel assesses a waiting time cost of $20 for each hour a patron waits in line. The hotel is considering...
7. The Canara Bank drive-thru teller window can serve a customer at an average of 4 minutes per customer. Service time has a negative exponential distribution. Customers arrive in their cars at a rate (Poisson distributed) of 12 per hour and form a single waiting line: a. Determine the average waiting time, the average queue length, and the probability that there is no customer in the system. b. If Canara Bank decides to open a second drive-thru teller window with...
Question 1 Unless otherwise stated, assume all times reported refer to averages from exponential distributions and that we are looking at stable processes. If the average time between arrivals is 10 minutes, what is the arrival rate? a. 6 jobs per hour b. 0.1 jobs per minute c. 0.001666 jobs per second d. All of the above 1 points Question 2 For a system with a single server, if the arrival rate is six jobs per hour and the average...
At a convenience store there is only one cashier. It is estimated that average service time by the cashier is 2 minutes, and the standard deviation of service time is 1 minute. The owner observed that on average customers arrive every 4 minutes, and the standard deviation of the time between two consecutive arrivals is also 4 minutes. Answer the following questions (or fill in the blanks): a) E(A) = ________, E(S) = _________ (Note: please include the time unit)...
Students arrive at the Administrative Services Office at an average of one every 24 minutes, and their requests take on average 20 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. a. What percentage of time is Judy idle? (Round your answer to 1 decimal place.) Percentage of time --------------% b. How much time, on average, does a student spend waiting...
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...
A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is less than 2 minutes?
A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is more than 4 minutes?
The Acme Machine Shop has five machines that periodically break down and require service. The average time between breakdowns for any one machine is 4 days, distributed according to an exponential distribution. The average time to repair a machine is 1 day, distributed according to an exponential distribution. One mechanic repairs the machines in the order in which they break down. Use q.xls. a. Determine the probability that the mechanic is idle. (Hint: Pn is given in q.xls, and is...
Suppose now that the daily demand for the t-shirts is not deterministic. It is random with mean 2 and standard deviation 0.5. In addition, the lead time (the time it takes for an order to arrive at the store) is also random. Specifically, the mean lead time is six days and the standard deviation for the lead time is 1 day. The store uses an (s, Q) type inventory control policy. It sets the order quantity using the EOQ formula...