Question
Jessie manages a call center. There are two types of callers: new callers and members. Phone calls from new callers arrive at a rate of
Jessie manages a call center. There are two types of callers: new callers and members. Phone calls from new callers arrive at a rate of 15 callers per hour, while calls from members arrive at a rate of 10 callers per hour. For each caller type, the inter-arrival times are exponentially distributed.
Currently, there are two waiting lines: one waiting line for new callers and a different line for members. Each line has one dedicated staff member to provide service to callers in that line, and the staff member only provides service to their assigned line. Each staff member has the same average service rate of 20 callers per hour, and the service times are exponentially distributed.
Question: Suppose Jessie merges the two waiting lines into one line, that is, the two caller types are all asked to wait in a single waiting line.
On average, how long does a caller have to wait in line? (Answer in minutes)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started