libes@nbs-amrf.UUCP (07/25/84)
Encountering problems like this make being a CS student all worth it. This
problem actually appears in "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 of 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 20
minutes (exponentially distributed), for a 50% price increment, what is
the effect on the 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 can
take on another customer. Include this condition, assuming his
customers arrive every 1 to 3 hours, uniformly distributed, and will not
accept any of the other servers.
h. A parking lot on the premises has a capactiy of 3 cars. If the lot is
full, arriving customers take their business elsewhere. To what extent
does this affect business?
Don Libes {allegra,seismo}!umcp-cs!nbs-amrf!libes