Model 1: (MM1): (α / FIFO)
This model is based on the following assumptions:
System of Steady-state Equations
In this method, the question arises whether the service can meet the customer demand. This depends on the values of λ and μ.
If λ ≥ m, i.e., if arrival rate is greater than or equal to the service rate, the waiting line would increase without limit. Therefore for a system to work, it is necessary that λ < μ.
As indicated earlier, traffic intensity ρ = λ / μ. This refers to the probability of time. The service station is busy. We can say that, the probability that the system is idle or there are no customers in the system, P0 = 1 – ρ.
From this, the probability of having exactly one customer in the system is P1 = ρ P0.
Likewise, the probability of having exactly 2 customers in the system would be
P3 = ρP1 = ρ2 P0
The probability of having exactly n customers in the system is
Pn = ρnP0 = ρn(1-r) = (λ / μ)n P0
The expected number of customers in the system is given by,
Quantitative Techniques for management Related Tutorials
|Business Analyst Tutorial||Project Management Tutorial|
|Business Environment Tutorial||Marketing Research Tutorial|
|Business Management for Financial Advisers Tutorial||Research Methodology Tutorial|
|Business Ethics Tutorial||International Business Management Tutorial|
Quantitative Techniques for management Related Interview Questions
|Business Analyst Interview Questions||Project Management Interview Questions|
|Business Environment Interview Questions||Marketing Research Interview Questions|
|Business Management for Financial Advisers Interview Questions||Research Methodology Interview Questions|
|Business Ethics Interview Questions||Business Management Interview Questions|
|International Business Management Interview Questions|
Quantitative Techniques for management Related Practice Tests
|Business Analyst Practice Tests||Project Management Practice Tests|
|Business Environment Practice Tests||Marketing Research Practice Tests|
|Business Management for Financial Advisers Practice Tests||Research Methodology Practice Tests|
|Business Ethics Practice Tests||Business Management Practice Tests|
Quantitative Techniques For Management Tutorial
Quantitative Techniques – Introduction
Measures Of Central Tendency
Linear Programming: Graphical Method
Linear Programming: Simplex Method
Waiting Model (queuing Theory)
Theoretical Probability Distributions
Probability Distribution Of A Random Variable
All rights reserved © 2018 Wisdom IT Services India Pvt. Ltd
Wisdomjobs.com is one of the best job search sites in India.