In the purest form of this model, customers enter the bank, choose a queue to enter, and remain in it until served by the teller. One variation that is popular is to permit “queue hopping”; each...


In the purest form of this model, customers enter the bank, choose a queue to enter, and remain in it until served by the teller. One variation that is popular is to permit “queue hopping”; each person in each queue is constantly evaluating whether his or her chances of being served sooner would be enhanced by jumping to another queue. In the single-queue approach, there is only one queue. The customer at the head of the queue is selected by the first teller completing a transaction. Your task is to simulate the pure multiple-queue and the single-queue approaches using a parallel program and prepare a one-page summary (management report) outlining the perceived advantages and disadvantages of each method given the following set of assumptions. In addition to such items as the average customer waiting times and maximum waiting times, gather whatever other statistics you feel are relevant in documenting your report’s conclusions. Assumptions: 1. There are five tellers. 2. All the queues are unlimited in size; customers will snake around the parking lot if necessary. However, the queues are empty at the start of business each day, and although no new customers are allowed into a queue after closing time, those already in the queue are permitted to complete their transactions. 3. Customers arrive randomly at the bank. Due to the bank’s location near a major university, customers tend to be concentrated around the end of class times: 10 new customers arrive per minute (on average) between 10 minutes before and 10 minutes after the hour. Two new customers arrive per minute (on average) at all other times. The actual arrivals are random and are distributed evenly in the range of one to 19 arrivals per minute near the top of the hour and zero to four arrivals per minute at other times. 4. Each transaction takes a random amount of time to complete. On average, transactions take five minutes but are evenly distributed in the range from one to nine minutes. Each customer is considered a single transaction. 5. Run the simulations between the 9:00 A.M. and 6:00 P.M. (bank opening and closing times) for 100 days to generate the data from which you will draw conclusions for your summary report.

May 19, 2022
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