What is the distribution of the waiting time

Assignment Help Operation Management

Reference no: EM13229057

consider a queuing system with 2 types of customers. type 1 customers arrive according to a Poisson process with a mean rate of 5 per hour. type 2 customers arrive according to a Poisson process with a mean rate of 8 per hour. a) find the probability that a type 1 customer arrives before a type 2 does. b) what is the probability distribution of the time between consecutive arrivals of customers (independent of their types?) c) suppose there is one server in the system, which serves both types of customers and the service times follow exponential distribution with a mean of 10 minutes. if a type 2 arrives and the type 1 being served, what is the distribution of the waiting time for this time 2 customer?

Reference no: EM13229057

Questions Cloud

What will happen to them in the next decade : If Microsoft don't build a cloud computing business , what will happen to them in the next decade? Why did the company decided that it had little choice but invest in cloud?

Explain the force to push electrons through a battery comes : The force to push electrons through a battery comes from (a) the energy levels of the electrolyte (b) the intrinsic work function difference of two different metals (c) from electricity (d) an unknown source of energy

What would be the potential ramifications : What would be the potential ramifications? Would this be legal? Explain why or why not. (Be sure to rely on the law as well as good business practices and ethics.)

Explain what is the molar solubility of magnesium hydroxide : what is the molar solubility of magnesium hydroxide? what is the solubility product, ksp, for magnesium hydroxide? Express the Ksp with the correct number of significant figures.

What is the distribution of the waiting time : which serves both types of customers and the service times follow exponential distribution with a mean of 10 minutes. if a type 2 arrives and the type 1 being served, what is the distribution of the waiting time for this time 2 customer?

State remain the same with the addition of potassium iodide : Does the molar solubility of lead(II) iodide increase, decrease, or remain the same with the addition of potassium iodide to the solution? Explain

What percentage of accounts are savings or opened : In a bank, among the accounts opened before 2005, 40% are saving accounts, 20% are chequing accounts and rest are mutual fund accounts. These numbers for accounts opened on or after 2005 are: 30% saving accounts,

Compute the equilibrium constant at 500 k : The free energy change Delta Gt at 500 K is equal to 9.8x10^4 J/mol. Calculate the equilibrium constant at 500 K.

How do you plan in budgeting for risks : How do you plan in budgeting for Risks, factoring affected tasks in a project, and suggest the process for payment of appropriate costs to be reimbursed by procurement department?

User Account

All Pages