Determine the limiting probabilities

Reference no: EM131005880

Consider a system of two servers where customers from outside the system arrive at server 1 at a Poisson rate 4 and at server 2 at a Poisson rate 5. The service rates of 1 and 2 are respectively 8 and 10. A customer upon completion of service at server 1 is equally likely to go to server 2 or to leave the system (i.e., P11 = 0, P12 = 1 ); whereas a departure from server 2 will go 25 percent of the time to server 1 and will depart the system otherwise (i.e., P21 = 1 , P22 = 0). Determine the limiting probabilities, L, and W.

Reference no: EM131005880

Questions Cloud

Find the average time that a customer spends : (a) Find the average rate at which customers enter the station. (b) Find the average time that a customer spends in the station per visit.

Determine their equivalent total value in new york city : The ENR construction cost index for New York City had a value of 12,381.40 in February 2007. For Pittsburgh and Atlanta, the values were 7341.32 and 4874.06, respectively. If a general contractor in Atlanta won construction jobs total- ing $54.3 m..

Find the proportion of customers : (a) Find the proportion of customers that go away empty handed. (b) Find the average time that an item is on the shelf. (c) Find the average number of items on the shelf.

Average cost per hour : (a) What is the average cost per hour if Mary is hired? If Alice is hired? (b) Find C if the average cost per hour is the same for Mary and Alice.

Determine the limiting probabilities : A customer upon completion of service at server 1 is equally likely to go to server 2 or to leave the system (i.e., P11 = 0, P12 = 1 ); whereas a departure from server 2 will go 25 percent of the time to server 1 and will depart the system otherwi..

Exponential at a rate of one service : 1. Suppose that customers arrive at a Poisson rate of one per every 12 minutes, and that the service time is exponential at a rate of one service per 8 minutes. What are L and W?

Estimate the total construction cost for a middle school : From historical data, you discover that the na- tional average construction cost of middle schools is $10,500 per student. If the city index for El Paso is 76.9 and for Los Angeles it is 108.5, estimate the total construction cost for a middle sch..

Find the expected number of ?ips : A coin that comes up heads with probability 0.6 is continually ?ipped. Find the expected number of ?ips until either the sequence thht or the sequence ttt occurs, and ?nd the probability that ttt occurs ?rst.

Determine the average amount of time : In 1984 the country of Morocco in an attempt to determine the average amount of time that tourists spend in that country on a visit tried two different sampling procedures.

User Account

All Pages