Queuing Theory-3 Basics-3 - Formula - 1 Utilisation Rate or Traffic Intensity

Operations Research Operations Management Queuing Theory Queuing Models MBA MCA BE CA CS CWA CMA CPA CFA BBA BCom MCom BTech MTech CAIIB FIII Graduation Post Graduation BSc MSc BA MA Diploma Production Finance Management Commerce Engineering Basics - 3 FORMULA - 1 Average Expected Mean Utilisation Rate or Traffic Intensity The ratio of the average arrival rate to the average service rate is called utilisation rate or traffic intensity.
This is also known as Clearing Ratio.
Utilisation Rate actually expresses the capacity utilisation of the service system.
That means it shows that how much proportion of the installed capacity is utilised.
Mathematically Utilisation Rate ρ λμ ρ rho While studying the relationship between λ and μ we ought to consider some natural possibilities. 1 If λ greater than μ: i Infinite Queue ii Service facility ALWAYS busy iii Service system will eventually fail 2 If λ μ: i Customer comes and served ii No queue will be there iii Server will be ALWAYS busy 3 If λ less than μ: i The MOST REALISTIC situation ii 1 - λμ 1 - ρ is the proportion of time the service facility would be idle. Idle Rate 1 - ρ 1 - λμ Average Expected Mean Idle Time Idle Rate x Service Facility Available 1 - λμ x t - www.prashantpuaar.com

Источник: rutube.ru