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Waiting Line Models

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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 the average number of units in the system?

e. What is the time in the waiting line?

f. What is the average time in the system?

g. What is the probability that there is one person waiting? h. What is the probability that an arrival will have to wait?

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Solution Summary

Solution determines the average waiting time in queue, average number of customers in the system and desired probability values in the given case.

Solution provided by:
Lokesh Jain, MSc
Education
  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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