Determine the number of servers

Reference no: EM131105338

A certain queueing system has a Poisson input, with a mean arrival rate of 4 customers per hour. The service-time distribution is exponential, with a mean of 0.2 hour. The marginal cost of providing each server is $20 per hour, where it is estimated that the cost that is incurred by having each customer idle (i.e., in the queueing system) is $120 per hour for the first customer and $180 per hour for each additional customer. Determine the number of servers that should be assigned to the system to minimize the expected total cost per hour

Reference no: EM131105338

Questions Cloud

What is the after-tax return on bills corporate bonds : What is the after-tax return on Bill's corporate bonds for the current year? What is the after-tax return on his municipal bonds for the current year? Which investment earns more returns: corporate or municipal bonds?

What amount should pare report in its december : Tot reported earnings of $300,000 for 2010. Pare does not elect the fair value option to report its investment in Tot. What amount should Pare report in its December 31, 2010 balance sheet as investment in Tot?

What is the value of the cash coverage ratio : A firm has sales of $4,820, costs of $2,620, interest paid of $177, and depreciation of $489. The tax rate is 30 percent. What is the value of the cash coverage ratio?

Find the distribution of the distance : Suppose that stars are distributed in space according to a 3-dimensional Poisson process with parameter λ (for simplicity, take space to be R3 without worrying about whether the universe is finite or infinite). You are at the origin. Find the distri..

Determine the number of servers : A certain queueing system has a Poisson input, with a mean arrival rate of 4 customers per hour. The service-time distribution is exponential, with a mean of 0.2 hour.

What amount should sage report in its income statement : What amount should Sage report in its income statement from its investment in Adams for the year ended December 31, 2010?

Derive an expression for the resonant frequency : Derive an expression for the resonant frequency of a Fabry-Perot resonator having a plate separation d and mode number

Determine if the option will he exercised early : Suppose the stock discussed above pays dividends. Assume all parameters are the same. Consider these three forms of dividends paid by the firm.(a) The stock pays a continuous, known stream of dividends at a rate of 4% per time.

Would seller be liable : The container then fell on the rail, teetered back and forth for awhile, and finally crashed down the side of the ship and capsized the lighter. All of the dates were dumped into the sea. Buyer now sues Seller for failure to make delivery. Is Sell..

User Account

All Pages