This preview shows page 1. Sign up to view the full content.
Unformatted text preview: an
you give a simple verbal explanantion?
3.16. A machine tool wears over time and may fail. The failure time measured
in months has density fT (t) = 2t/900 for 0 t 30 and 0 otherwise. If the
tool fails it must be replaced immediately at a cost of $1200. If it is replaced
prior to failure the cost is only $300. Consider a replacement policy in which
the tool is replaces after c months or when it fails. What is the value of c that
minimizes cost per unit time.
3.17. People arrive at a college admissions o ce at rate 1 per minute. When
k people have arrive a tour starts. Student tour guides are paid $20 for each
tour they conduct. The college estimates that it loses 10 cents in good will for
each minute a person waits. What is the optimal tour group size? 116 CHAPTER 3. RENEWAL PROCESSES 3.18. A scientist has a machine for measuring ozone in the atmosphere that
is located in the mountains just north of Los Angeles. At times of a Poisson
process with rate 1, storms or animals disturb the equipment so that...
View Full Document
This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell University (Engineering School).
- Spring '10
- The Land