Question: Queueing In a railway marshaling yard, goods train arrive at a rate of 30 trains per day . Assume that inter-arrival time and the service

Queueing

In a railway marshaling yard, goods train arrive at a rate of 30 trains per day. Assume that inter-arrival time and the service time distribution follow an exponential distribution with an average of 36 minutes.

Calculate the following:

Mean queue size
The probability that queue size exceeds 11
If the input of the train increases to an average of 35 per day, what will be the changes in queue size?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

Queueing: In a railway marshalling yard, goods train arrive at a rate of 30 trains per day . Assume that inter-arrival time and the service time distribution follows an exponential distribution with...

In a railway marshalling yard, goods train arrive at a rate of 30 trains per day . Assume that inter-arrival time and the service time distribution follows an exponential distribution with an average...

In a railway marshaling yard, goods trains arrive at a rate of 30 trains per day . Assume that inter-arrival time and the service time distribution follow an exponential distribution with an average...

Huntsville Bank (a fictitious one) has a drive-through teller window and observed that customers arrive for service one every three minute, on an average, and the average service time per customer is...

refer to the attachments... plz help me,, full information is provided A repair person fixes broken televisions. The repair time is exponentially distributed with a mean of 30 minutes. Broken...

Problem 1 is completed. Please help regarding problem 2 Problem 1. (10 pts) Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on...

Please provide me very detailed steps. Students arrive at the Administrative Services Office at an average of one every 1 5 minutes, and their requests take on average 1 0 minutes to be processed....

Consider an M / M / 2 / 2 queueing model. Assume that the interarrival time of customers follows an exponential distribution with rate landa ( per unit of time ) . Also assume that both of the...

Company U - Be - See currently has three counters, each staffed by a single employee, and a single first - come - first - serve queue for all customers to join. You think that the current system is...

(a) What is Cramers V for this contingency table, which shows choices for paint colors and finishes at a hardware store? (You should not need to do any calculations.) (b) What is the value of Cramers...

A mechanical engineering student is trying to determine the deflection of a cantilever beam under a point load. The beam has a length of L = 5 m, a modulus of elasticity of E = 200 GPa, and a second...

Use the Show Sources feature to identify the Accounting Seandards Update ( ASU 1 that cross - relerescen to ASC 8 2 0 - 1 0 Value Measurementsl. Next, so to the ASU and reviow the Rads for...

Please answer all parts of these questions. 1. Washington State Fisheries, Incorporated, processes salmon for various distributors. Two departments, processing and packaging, are involved. Data...