Question: Customers arrive at a common queue at the coffee station with two identical coffee machines in a busy mall at the rate of 51 per
- Customers arrive at a common queue at the coffee station with two identical coffee machines in a busy mall at the rate of 51 per hour, following Poisson distribution. Each customer mixes his or her specialty coffee taking 2 minutes on an average following an exponential process. What is the expected number of customers in the system at this coffee station?
Step1: identify which model we are going to use
Step 2: identify arrival rate (lambda ) and service rate (Mu ) (hint: If the system is multipchannel problem, find Lq from exhibit 7.13 on P225-226)
Step 3: derive the results based on the formula
- Customers arrive at a single self-serve coffee machine in a busy mall at the rate of 50 per hour, following Poisson distribution. Each customer takes exactly 60 seconds to get his or her coffee. What is the expected number of customers in queue at this coffee machine?
Step1: identify which model we are going to use
Step 2: identify arrival rate (lambda ) and service rate (Mu ) (hint: If the system is multipchannel problem, find Lq from exhibit 7.13 on P225-226)
Step 3: derive the results based on the formula
- Assuming a 24 hour operation in a warehouse, and an arrival following Poisson distribution with mean rate of 24 per day and service (unloading using a single bay) following exponential distribution with a rate of 36 trucks per day, answer the following question. What is the expected waiting time in the system (in hours) for a typical truck?
Step1: identify which model we are going to use
Step 2: identify arrival rate (lambda ) and service rate (Mu ) (hint: If the system is multipchannel problem, find Lq from exhibit 7.13 on P225-226)
Step 3: derive the results based on the formula
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