1 Single-Server Waiting Line Model 3 Assumptions 4 Poisson Arrivals 5Exponential

Question

1 Single-Server Waiting Line Model 3 Assumptions 4 Poisson Arrivals 5Exponential Service Times 7Arival Rate 8 Service Rate 10 11 Operating Characteristics 12 13 Probability that no customers are in the system, Po 14 Average number of customers in the waiting line, 15 Average number of customers in the system, L 16 Average time a customer spends in the waiting line, W 17 Average time a customer spends in the system, W 18 Probability an arriving customer has to wait, P #DIV/0 ! #DIV/0! #DIV/0! #DIV/0 ! #DIV/0! #DIV/0!

Explanation / Answer

For Per Hour:

A and B:

Ans C:

Ans D:

Comment Arrival rate A 15.00000 Service rate S 18.00000 U Utilization ratio U=A/S 0.83333 <1 Length of queue diminishing Ls Expected number of people in system Ls A/(S-A) 5 Ans C Ws Avg waiting time in the system Ws 1/(S-A) 0.33333 Hrs 20.0000 mins Ans E Wq Avg waiting time in the Queue Wq A/S(S-A) 0.27778 Hrs 16.6667 mins Ans D Lq Avg no of customer waiting to be served Lq A^2/S(S-A) 4.1667 Ans B Po Prob of 0 units in system Po 1-(A/S) 0.16667 Ans A Pw Prob of people have to wait 1-Po 0.83333 Ans F

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.