During the early morning hours, customers arrive at abranch post office at an average rate of 45 per hour(Poisson), while clerks can handle transactions in anaverage time (exponential) of 4 minutes each.If clerk cost is $30 per hour and customer waiting timerepresents a "cost" of $20 per hour, how many clerks canbe justified on a cost basis?Select one:O a. 3O b. 6O c. 4O d. 5

Find the Given details below: Given details: Arrival rate 45 customer/hour Service rate 4…

Answered: During the early morning hours,…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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United Raiders Drive-In Market has one checkout counter where one employee operates the cash register. The combination of the cash resister and the operator is the server in this queuing system; the customers who line up at the counter to pay their selections form the waiting line. Customers arrive at a rate of 24 per hour according to a Poisson distribution, and service times are on average equal to 2 minutes per customer. What is the number of customers waiting in the queue on average?
During the evening hours, an average of 52 customers can be found in Sachi’s Sports Bar. About 40 customers arrive each hour. Using Little’s Law, how long does each customer stay at Sachi’s?
Christmas Airlines is reviewing its check-in procedures in anticipation of college students celebrating being done with finals.It takes an average of three minutes per passenger to check luggage and issue boarding passes.During flight operations, a passenger arrives, on average, every 5 minutes. Service times and interarrival times both have an exponential distribution. a.Define the states of this queuing systems. b.If there is a single clerk, provide the balance equation for state 3 for this queuing system. c.If there is a single clerk, what is the probability that the clerk will be idle?
11. Leo manages a receiving station for rice. Farmers deliver their loads of rice from 7 am to 7 pm. Leo can process them at a rate of 4.5 tons an hour, and on a heavy day, a total of 96 tons can be expected. The station has room to hold only 15 tons of rice in inventory prior to processing. Once this space is filled, the farmers’ trucks must wait to dump their contents. What is the throughput (flow) rate after 7 pm (in tons/hr)?
The Y-ME central railroad station has 5 screening stations. At peak times, 175 customers arrive per hour. The average time to screen a passenger is 1.6 minutes. a. What is the rate per hour at which customers are screened? b. What is the average waiting time until beginning screening? They are concerned about the area where people line up and wait to begin screening. c. What is the average number of passengers waiting to begin screening? They want to reduce the average number of passengers in queue to fewer than 5. d. If they were able to reduce service time to 1.5 minutes, could they achieve the goal of fewer than 5 passengers waiting? Carry out to the necessary calculations to answer this question.
5. The DMV Licensing office has a single line for customers waiting for the next available clerk. There are two clerks who work at the same rate. On average customers arrive every 8 minutes and the average service rate is 5 per hour for each of the two clerks. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. d.) Because the state has received less than expected tax receipts, the DMV is thinking of cutting one position. Is this a good idea? Why?
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Pls solve this question correctly in 10 min i will give u thumsup 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
Josh’s Hot Dogs is a one-person hot dog stand, and normally gets about 14 customers per hour. Assuming that Josh can serve one customer in about 3 minutes. What impact does this have on the queuing characteristics? Specifically, the following questions:a. Mean number of customer in the queue b. Mean number of customer in the system: c. Mean waiting time in the queue:d. Mean waiting time in the system:e. Utilization factor for the system:f. Probability of more than 1 customer in the system at any given time.g. Do you think he has an acceptable queuing system?
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 System
Suggest THREE (3) methods that an operations manager can adapt to enhance their customers' waiting experience rather than simply reducing the waiting time.
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