Operational Management :Waiting Line Model

In a waiting line model situation, arrivals occur around the clock at a rate of six per day, and the service occurs at one very three hours. Assume the Poisson and exponential distributions. a. What is Mean Arrival Rate? b. What is Mean Service Rate? c. Find probability of no units in the system. d. Find average number of

Paul Fenster own and manages a chili-dog and soft-drink stand near the Kean U. campus. While Paul can service 30 customers per hour on the average (µ), he gets only 20 customers per (λ). Because Paul could wait on 50% more customers than actually visit his stand, it doesn't make sense to him that he should have any waiting lin

Waiting line theories are valuable tools in operations. One model is based on the Poisson arrival distribution, FIFO line discipline, and customers arrive at the rate of two per minute. This is a single phase operation and each server operates at the average rate of 160 customers served per hour. Management is concerned by th

You arrive at a movie theater only to notice that there's only one person selling tickets. Fortunately you have packed your jacket with enough candy to choke a horse and filled your camel back with "soda." You now must rely on your cunning knowledge of queuing theory to determine your chances of making the show before the ever

In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds per customer. Assume the Poisson and exponential distributions. Carry all answers to at least 3 decimals. a. What is lambda? b. What is mu? c. What is the probability of no units in the system? d. What is t

The Sea View Resort uses a multiple-channel queue registration system. If the average service time is 9 minutes, there are three registration clerks, and guests arrive at the rate of one every 6 minutes, find a. Arrival and service rate. b. the probability all three clerks are idle. c. the probability a g

1. Kellam Images prints snack food bags on long rolls of plastic film. The plant operates 250 days a year. The daily production rate is 6000 bags, and the daily demand is 3500 bags. The cost to set up the design for printing is $300. The holding cost is estimated at 2 cents per bag. a. What is the recommended production lot s

1. Department Store has approximately 300 customers shopping in its store between 9 A.M. and 5 P.M. on Saturdays. In deciding how many cash registers to keep open each Saturday, Schmedley's manager considers two factors: customer waiting time (and the associated waiting cost) and the service costs of employing additional checkou

You are the manager of a local bank where three tellers provide services to customers. On average, each teller takes three minutes to serve a customer. Customers arrive, on average, at a rate of 50 per hour. Having recently received complaints from some customers that they waited a long time before being served, your boss asks