Concierge Consider the concierge service at a large resort. The concierge helps

Question

Concierge Consider the concierge service at a large resort. The concierge helps guest with various tasks, including reservations at local restaurants or offering advice on various local activities. On average 12 guests arrive at the concierge desk per hour (the standard deviation of the inter arrival times is equal to 5 minutes). The hotel has only one concierge on service. It takes the concierge, on average 4 minutes to help the guest with their questions. The standard deviation of tis time is three minutes. C1. What is the average time a guest has to wait before talking to the concierge? C2. How many guests will on average, be at the concierge’s desk (either talking to

Explanation / Answer

As per MM1 system, arrivals follow Poisson and service follows exponential = 12 per hour µ = 15 per hour (4 per minute) 1. Average time a customer is in the queue = Wq = / µ * (1 / µ- ) = 12 / 15 * 1 / (15 - 12) = 0.26667 hours or 16 minutes 2. Average number of customers in the system = Ls = /µ- = 15 / 18 - 15 = 5 customers

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.