Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks...

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Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks on duty, each with a separate waiting line, during the peak check-in time of 3:00 P.M. to 5:00 P.M. Observation of arrivals during this time show that an average of 90 guests arrive each hour (although there is no upward limit on the number that could arrive at any given time). It takes an average of 3 minutes for the front-desk clerk to register each guest. Donna is considering three plans for improving guest service by reducing the length of time guests spend waiting in line. The first proposal would designate one employee as a quick-service clerk for guests registering under corporate accounts, a market segment that fills about 30% of all occupied rooms.
Because corporate guests are preregistered, their registration takes just 2 minutes. With these guests separated from the rest of the clientele, the average time for registering a typical guest would climb to 3.4 minutes. Under plan 1, noncorporate guests would choose any of the remaining four lines.


1. Determine the average amount of time that a guest spends checking in. How would this change under each of the stated options?
2. Which option do you recommend?




Answered Same DayDec 24, 2021

Answer To: Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to...

David answered on Dec 24 2021
121 Votes
Operating Characteristics
 Average server utilization = 0.9000
 Average number of customers in the
queue (Lq) = 8.1000
 Average number of customers in the system (L) = 9.0000
 Average waiting time in the queue (Wq) = 0.4500
 Average time in the system (W) = 0.5000
 Probability (% of time) system is empty (P0) = 0.1000
First proposal
1. 30% arrivals
 Arrival rate 0.3(90)= 27 per hour
 Service rate (2 minutes)= 30 per hour
2. For remaining 63.
 Arrival rate 63/4=15.75
 Service time (3.4 minutes)=17.65 per hour.
 Number of server= 1
Operating Characteristics (1)
 Average server utilization (r) 0.9000
 Average number of customers in the queue (Lq) = 8.1000
 Average number of customers in the system (L) = 9.0000
 Average waiting time in the queue (Wq) = 0.3000
 Average time in the system (W) = 0.3333(20 mins)
 Probability (% of time) system is empty (P0) = 0.1000

2
Operating Characteristics (2)
 Average server...
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