Question
In a railway marshalling yard, goods trains arrive at a rate of 36 trains per day. Assuming that the inter-arrival and service time distributions both follow exponential distribution with an average of 30 minutes, calculate the following:
(i) Traffic intensity
(ii) The mean queue length
(iii) Probability that the queue size exceeds
Answer :
Word Count : 176
We can model this problem using M/M/1 queuing theory, where: - Arrival rate (\(\lambda\)) = 36 trains per day - Service rate (\(\mu\)) = 2 trains per hour (since the average service time is 30 minutes per train) First, we convert everything to the _______ ___ ______ ________ _________ ________ ______ _____ ___ ________ _____.
_____ _______ __________ __________ _______ ________ _________.
________ _______ ___ _________ __________ ________ _____ ____.
______ ________ ___ ____ _________ ________ _______ _________.
_____ ____ ____ __________ ________ ____ ______ _______ __________ ______ ______ __________.
_______ ___ _____ _________ ______ _____ _________ _______ ____ ______ ________.
_____ ___ ______ ______ ___ ___ ____ ______ ____ ____ ______.
_______ _____ _______ ______ _________ __________ _______ _______.
_____ _____ ___ _______ __________ ___ ____ _____ _____ ________ __________.
_____ ________ _____ __________ __________ ______.
________ ______ _____ ___ _____.
_______ __________ _______ ________ ________.
____ ____ ________ ___ __________ _________ _____ _______ ____.
__________ _________ ____ ______ _______ _____.
_______ ______ ________ ___ ___ ____ _________ _________ __________ ____.
__________ ________ __________ _______.
Get Full Answer on WhatsApp
We can model this problem using M/M/1 queuing theory, where: - Arrival rate (\(\lambda\)) = 36 trains per day - Service rate (\(\mu\)) = 2 trains per hour (since the average service time is 30 minutes per train) First, we convert everything to the _______ ___ ______ ________ _________ ________ ______ _____ ___ ________ _____.
_____ _______ __________ __________ _______ ________ _________.
________ _______ ___ _________ __________ ________ _____ ____.
______ ________ ___ ____ _________ ________ _______ _________.
_____ ____ ____ __________ ________ ____ ______ _______ __________ ______ ______ __________.
_______ ___ _____ _________ ______ _____ _________ _______ ____ ______ ________.
_____ ___ ______ ______ ___ ___ ____ ______ ____ ____ ______.
_______ _____ _______ ______ _________ __________ _______ _______.
_____ _____ ___ _______ __________ ___ ____ _____ _____ ________ __________.
_____ ________ _____ __________ __________ ______.
________ ______ _____ ___ _____.
_______ __________ _______ ________ ________.
____ ____ ________ ___ __________ _________ _____ _______ ____.
__________ _________ ____ ______ _______ _____.
_______ ______ ________ ___ ___ ____ _________ _________ __________ ____.
__________ ________ __________ _______.
Get Full Answer on WhatsApp
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★