# Average Inter-arrival Time

Topics: Average, Customer service, Poisson distribution Pages: 2 (490 words) Published: September 25, 2013
﻿Assignment 2
Service Capability
Due – Sep 23/13
Questions are 2 marks unless specified

1) A product market that is currently experiencing a change in customer preferences is vacuum cleaners. How are some companies in this industry responding to the changing preferences? What are some supply chain implications as it relates to the 4P’s?

They change it’s design for the product they sell, like bag or bagless, and sell them in different places according to which place has most people favor bagless or the other, and set the price according to the affordability of people, and make its own promotion according to particular product and price.

2) Distinguish between a channel and a phase in a queuing system.

A channel is a window or a passageway where service will be provided, it disperse the number of people waiting for service, shorten people’s waiting time.

However, a phase is a step of a service—to finish a service maybe involves several steps, and a phase is one of those steps or procedures.

3) The Judy Gray Income Tax Service is analyzing its customer service operations prior to the April Filing deadline. On the basis of past data, it has been estimated that customers arrive according to a Poisson process with an average inter-arrival time of 12 minutes. The time to complete a return for a customer is exponential distributed with a mean of 10 minutes. Based on this information, answer the following questions a. If you went to Judy, how much time would you allow for getting your return done?

b. On average, how much room should be allowed for the waiting area? Lq=
c. If Judy stayed in the office 12 hours per day, how many hours on average, per day, would she be busy? 12*5/6=10hr
d. What is the probability that the system is idle?
1-5/6=1/6=0.16
e. If the arrival rate remained unchanged, but the average time in system must be 45 minutes or less, what would need to be changed?

4) A study-aid desk staffed by a graduate...