Find the utilization factor of the server

Assignment Help Operation Management

Reference no: EM13248353

Barry works at an ice cream counter of a food court. Customers arrive at a mean rate of 6 per hour. The mean service rate is 9.5 per hour. Assume it is a single-server waiting line model.

(a) Determine the mean arrival rate and the mean service rate.
(b) Determine the probability that a customer will have an empty queue.
(c) Determine the probability that 2 customers are in the queuing system.
(d) Determine the average number of customers in the queue and the average number of customers in the system.
(e) Determine the average waiting time in the queue and the average total time in the system for a customer.
(f) Find the utilization factor of the server.

suppose Barry can be replaced by another server, Nina, who must be paid $15 per hour whereas Barry is paid $10 per hour. Nina can serve 12 customers per hour. If a customer's time is considered to be worth $8 per hour, is it worth to replace Barry with Nina?

Reference no: EM13248353

Questions Cloud

Find the heat added to the gas during the expansion : An ideal gas initially at 20°C and 219 kPa has a volume of 4.70 L. It undergoes a quasi-static,, Find the heat added to the gas during the expansion.

Find the frequency of the wave along with the permitivity : A wave in free space has a wavelength of 12 cm. This wave reaches a material in which the transmitted wave has a wavelength of 8 cm. lEl= 10V/m and lHl= 100 mA/m. Find the frequency of the wave, along with the permitivity and permeability of the m..

What is the appropriate negotiation strategy : What are HR's interests in this scenario, and what would be the potential negotiation strategy between the Accounting Manager and HR assuming that there is a decision that the published salary range for attracting Jim will have to be exceeded in o..

Explain what is the frequency factor : the rate constant (k) at 25 C is 0.235 M^-1 S^-1. At 50 C the rate constant is 1.12 M^-1 S^-1. What is the frequency factor, A for this reaction in units of M^-1S^-1

Find the utilization factor of the server : Barry works at an ice cream counter of a food court. Customers arrive at a mean rate of 6 per hour. The mean service rate is 9.5 per hour. Assume it is a single-server waiting line model.

Describe what is the partial pressure of the hydrogen gas : The hydrogen gas formed in a chemical reaction is collected over water at 30 at a total pressure of 727 .What is the partial pressure of the hydrogen gas collected in this way

Explain the reaction of the carbonate ion with water : When sodium carbonate dissolves in water, the carbonate ion CO3^2- acts as a base. write a balanced equation for the reaction of the carbonate ion with water.

How many kanban card sets are needed : Due to variations in processing times, management has decided to keep 15 percent of the needed inventory as safety stock. How many kanban card sets are needed?

Auditing general cash for the pittsburgh supply : Auditing general cash for the Pittsburgh Supply Company for the fiscal year ended July 31, 2009. The client has not prepared the July 31 bank reconciliation. After a brief discussion with the owner,

User Account

All Pages