The answer is 10 per hour.Two important issues relevant to a queue involve the timing and types of arrivals. Usually, the timing of arrivals is described by specifying the average rate of arrivals per unit of time (a), or the average interarrival time (1/a).
hence 80 per eight hour here 1/a = 80/8 per hour means 10 per hour.
1. A waiting line problem has an average of 80 arrivals per eight hour day. Suppose...
In a single queue with random arrivals 60 an hour and random service times average 80 per hour. Find: (a) the average number of customers in the waiting line; (b) the average number of customers in the service system; (c) the average waiting time in line; (d) the average time spent in the system
Please fill in all question marks!!!! Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and...
**LOOKING FOR FORMULAS, ANSWERS PROVIDED. Problem-1: At a single-phase, multiple-channel service facility, customers arrive randomly. Statistical analysis of past data shows that the interarrival time has a mean of 20 minutes and a standard deviation of 4 minutes. The service time per customer has a mean of 15 minutes and a standard deviation of 5 minutes. The waiting cost is $200 per customer per hour. The server cost is $25 per server per hour. Assume general probability distribution and no...
Multiple Server Waiting Line Model Regional Airlines Assumptions Poisson Arrivals Exponential Service Times Number of Servers Arrival Rate Service Rate For Each Server Operating Characteristics 4 Probability that no customer are in the system, Po 5 Average number of customer in the waiting line, L 6 Average number of customer in the system, L 7 Average time a customer spends in the waiting line, W 18 Average time a customer spends in the system, W 19 Probability an arriving customer...
Problem 8: 10 points Consider a queuing system M/M/1 with one server. Customer arrivals form a Poisson process with the intensity A 15 per hour. Service times are exponentially distributed with the expectation3 minutes Assume that the number of customers at t-0, has the stationary distribution. 1. Find the average queue length, (L) 2. What is the expected waiting time, (W), for a customer? 3. Determine the expected number of customers that have completed their services within the 8-hour shift
3. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service rate, what is the formula for the average utilization of the system? a) l / m b) l / (m-l) c) l2 / m(m-l) d) 1 / (m-l) e) l / m(m-l) 4. For a single-server, single-line, single-phase waiting line system, where l represents the mean arrival rate of customers and m represents the mean service...
SHOW ALL WORK! In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 24 seconds. Assume the Poisson and exponential distributions. a. What is λ? What is μ? b. Find average number of units in the system. c. Find average time in the waiting line. d. Find probability that there is one person waiting. e. Find probability an arrival will have to wait.
Please answer using stochastic operations principles Cars arrive at a rate of 10 per hour in a single-server drive-in restaurant. Assume that the teller serves vehicles with a rate exponentially distributed with a mean of 4 minutes per car (ie, a rate of 1 car every 4 minutes). Answer the following questions: (a) What is the probability that the teller is idle? (b) What is the average number of cars waiting in line for the teller? (A car that is...
Burger World is considering opening a drive-through window for customer service. Management estimates that customers will arrive at the rate of 15 per hour. The server who will staff the drive-up window can service customers at the rate of one every three minutes. Assuming Poisson arrivals and exponential service, find: 40. Utilization of the teller A) 45% B) 55% C) 65% D) None of the above 41. Average number of customers in the waiting line A) 2.25 B) 5.22 C)...
A single server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service times is 12 minutes. the service times are distributed according to the negative exponential distribution. The expected number of customers in the system is : A) 3.0 B) 1.5 C) 1.0 D) .90 The expected number of customers waiting in line is: A) 6 B) 7 C) 8 D) 9 Please show work