Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: Notesfiles $Revision: 1.7.0.8 $; site uiucdcsb Path: utzoo!watmath!clyde!cbosgd!cbdkc1!desoto!packard!ihnp1!ihnp4!inuxc!pur-ee!uiucdcsb!becker From: becker@uiucdcsb.Uiuc.ARPA Newsgroups: net.jokes Subject: Simulation Problem Message-ID: <8700209@uiucdcsb> Date: Sun, 4-Aug-85 05:02:00 EDT Article-I.D.: uiucdcsb.8700209 Posted: Sun Aug 4 05:02:00 1985 Date-Received: Tue, 6-Aug-85 10:27:16 EDT Lines: 60 Nf-ID: #N:uiucdcsb:8700209:000:2713 Nf-From: uiucdcsb.Uiuc.ARPA!becker Aug 4 04:02:00 1985 [i like to watch the MTV top 20 countdown while I listen to Kate Bush albums] Someone (I don't know who) posted this to the net last year. I had reason to type it in again recently, so I thought I would repost it. ------------------------------------------------------------------------------ This problem appears in the book "Digital Computer Simulation", chapter 3. Xaviera operates an entertainment facility in Nevada. Xaviera's standard fee is $100. Her employees perform their services for $50, $20 of which is returned to Xaviera to cover operating expenses. For all parts of this problem, assume an 8-hour work night. Model Xaviera's receipts and the level of service offered her customers under the following alternative conditions: a: Xaviera is the only server. The average customer interarrival rate is 10 minutes, exponentially distributed. Determine the effects of the following service times: 1. Constant 15 minutes. 2. 10 to 20 minutes, uniformly distributed. 3. Average of 15 minutes, exponentially distributed. b: Assume a second server is hired, and each server performs with a service time of 10 to 20 minutes, uniformly distributed. What is the effect on service and profits? c: Assume that (within 10 minutes of) every hour, a customer arrives who requires both servers simultaneously. Measure the impact on service. d: Suppose a third server is hired, who serves customers in an average of 12 minutes (exponentially distributed). What is the effect on business if there are separate queues with customers entering the shortest queue? Only one queue? e: Suppose 60% of the customers want Xaviera, the other 40% have no preference. Investigate profits and queue behavior under these circumstances. f: If 10% of the customers require service that takes an average of 25 minutes (exponentially distributed), for a 50% price increment, what is the effect on business? g: Assume Xaviera has submitted to pressure from the Equal Employment Opportunity Commission to avoid the loss of Federal contracts. She has hired a token male server who spends an average of 15 minutes (exponentially distributed) serving each of his customers. After completing a service, he is obliged to rest for 2 hours before he may take on another customer. Include this condition, assuming his customers arrive every 1 to 3 hours, uniformly distributed, and will accept any of the other servers. h: A parking lot on the premises has a capacity of 3 cars. If the lot is full, arriving customers take their business elsewhere. To what extent does this effect business? Cheers, Craig Becker no longer on the net by the time you read this