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A hotel has 5 clerks on duty, each with a separate waiting line. Between 3 and 5

ID: 2658970 • Letter: A

Question

A hotel has 5 clerks on duty, each with a separate waiting line. Between 3 and 5 pm they have an average of 90 guests each hour. It takes an average of 3 minutes per guest to register. What is the average amount of time a guest spends checking in? 1 Possible change is being considered. Designate 1 of the 4 clerks to handling only corporate accounts which is 30% of the clients who are preregistered so it will only take them 2 minutes to check in. This will increase the average wait time to 3.4 minutes for the remaining 4 lines. How would this change the average amount of time? Please show work for both answers.

Explanation / Answer

Option 1: This option would designate one employee as a quick-service clerk for guest registering under corporate accounts, a market segment that fills about 30% of all occupied rooms. Since corporate guests are pre-registered, their registration takes just two minutes.


With these guests separate from the the rest of the clientele, the average time for registering a typical guest would climb to 3.4 minutes. Under this plan, non-corporate guests would choose any of the four remaining lines. Assume all the corporate guest use this service and would not renege into the other lines.



Option 2: The second plan is to implement a single line system similar to a bank operation where all guest form in a single line and are serviced by whichever of the five clerks become available.



Option 3: The third proposal involves use of an automatic clerk machine (ATC). It takes an average of 2 minutes for registration at an ATC. It is estimated that 20% of customers would be willing to use this machine. This option also involves setting up a single queue (bank type operation) for customers who prefer human check in clerks. Each server takes an average of three minutes to register each guest. This line would be serviced by the five remaining clerks

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