Reference no: EM131106268
In Example 13.4 of section 13.5, we examined whether an M/M/1 system with a single fast server is better or worse than an MMs system with several slow servers. Keeping the same inputs as in the example, use simulation to see whether you obtain the same type of results as with the analytical models. Then repeat, using gamma-distributed service times with standard deviation six minutes.
Example 13.4 COMPARING ONE FAST SERVER TO SEVERAL SLOW SERVERS
Which system has the better steady-state characteristics such as L, W, LQ, and WQ: a single-server system where the single server can serve 30 customers per hour or a five-server system where each of the servers can serve six customers per hour? For each system, we assume that customers arrive according to a Poisson process at rate 25 per hour.
Objective To see whether customers should prefer a system with one fast server or a system with several slower servers.
Example 13.5
INCREASINGLY LONG LINES AT COUNTY BANK
Over a period of time, the County Bank branch office from Example 13.3 has been experiencing a steady increase in the customer arrival rate. This rate has increased from the previous value of 150 customers per hour to 160, then to 170, and it is still increasing. During this time, the number of tellers has remained constant at six, and the mean service time per teller has remained constant at two minutes. The bank manager has seen an obvious increase in bank congestion. Is this reinforced by the MMs model? What will happen if the arrival rate continues to increase?
Objective To see what happens to congestion in a multiple-server system when the traffic intensity gets close to 1.
|
Presented below are selected transactions on the books
: (Issuance of Bonds between Interest Dates, Straight-Line, Retirement) Presented below are selected transactions on the books of Simonson Corporation. May 1, 2010 Bonds payable with a par value of $900,000, which are dated January 1, 2010, are sold at..
|
|
What is the investment in accounts receivable
: Zocco Corporation has an inventory conversion period of 75 days, an average collection period of 38 days, and a payables deferral period of 30 days. a. What is the length of the cash conversion cycle? b. If Zocco's annual sales are $3,421,875 and all..
|
|
Exponentially distributed or gamma distributed
: A telephone-order sales company must determine how many telephone operators are needed to staff the phones during the 9-to-5 shift. It is estimated that an average of 480 calls are received during this time period and that the average call lasts f..
|
|
How many containers are needed for gadjits
: a. How many containers are needed for gadjits? b. How many containers are needed for widjits?
|
|
Comparing one fast server to several slow servers
: In Example 13.4 of section 13.5, we examined whether an M/M/1 system with a single fast server is better or worse than an MMs system with several slow servers.
|
|
Amortize premium or discount on interest dates
: Sanford Co. sells $500,000 of 10% bonds on March 1, 2010. The bonds pay interest on September 1 and March 1. The due date of the bonds is September 1, 2013. The bonds yield 12%. Give entries through December 31, 2011.
|
|
Explain the impact of databases on businesses
: Explain the impact of databases on businesses. What industry has databases made possible? Give examples of database supported business applications or technology.
|
|
What would be the effective cost of the bank loan
: what would be the nominal and effective cost of that credit? If the company could get the funds from a bank at a rate of 10%, interest paid monthly, based on a 365-day year, what would be the effective cost of the bank loan, and should Lamar use bank..
|
|
Same recommendation on which machine to purchase
: Simulate the system in Problem 10. Make any assumptions about the warm-up time and run time you believe are appropriate. Try solving the problem with exponentially distributed copying times.
|