What is probability that arrivals to this system are blocked

Assignment Help Engineering Mathematics

Reference no: EM131467902

Question: Obtain the steady-state probabilities for a GE2/GE2/1/1 system where an arrival to a full system blocks the arrival process, and with inter-arrival time distribution parameters (α, p,β)=(1.5,1/3,3) and service time distribution parameters (μ,q, γ)=(2,1/6,4). (Notice that the maximum number of jobs allowed in the system is 2.) Also assume that a blocked arrival stops the arrival process. Note that this system has 8 probability states.

(a) What are the probabilities that there will be 0, and 1 jobs in the system?

(b) What is the probability that the arrivals to this system are blocked?

(c) Counting a blocked arrival as an extra job in this system, what are the probabilities that there will be 0, 1, and 2 jobs in the system?

Reference no: EM131467902

Questions Cloud

Model of drug addiction : Explain "Major drug that acts as a receptor agonist and best known model of drug addiction, the opiate drugs.

Watching ending the stigma of mental illness mean to you : Discuss 3-5 key points presented.What did watching Ending the Stigma of Mental Illness mean to you?

How spatial organization affects visual perception : PSY 345:Describe the following: The concept of spatial organization,How spatial organization affects visual perception.

What is the mean and scv of the time between job departures : Consider a sequence of three machines each with exponentially distributed processing times. The mean processing rates for these three machines are 1, 2, and 3.

What is probability that arrivals to this system are blocked : Obtain the steady-state probabilities for a GE2/GE2/1/1 system where an arrival to a full system blocks the arrival process, and with inter-arrival time.

Structure and abundance of the lacrepressor : Briefly describe the structure and abundance of the lacrepressor protein.

Describe the two workstation serial flow system : Consider a two workstation serial flow system with total units limits of 2 at each workstation. Assume that all times are exponentially distributed.

Define the concept of decomposition procedure : Develop the workstation throughput estimates after the second and third full cycles of the decomposition procedure (forward and backward passes) of Problem.

The extrinsic and intrinsic motives : What is the difference between extrinsic and intrinsic motives? Do you want to do well in this course? If you do, why?

User Account

All Pages