• Support PF! Buy your school textbooks, materials and every day products Here!

Markov Chain Problem

  • #1
A water distribution company in southern California gets its water supply from the north and sell it back to its customers in Orange county. Assume the following simplified scheme: 3 MG (millions of gallons) of water arrives from the north at the beginning of the month. The company can store up to 4 MG. If it has any excess beyond that, it sells it immediately to another distributor for agricultural usage. The monthly usage in Orange county varies randomly: it is

1 MG with probability .2
2 MG ” ” .3
3 MG ” ” .4
4 MG ” ” .1

I need to set up a Markov Chain to model this problem, but I can't think of a way to define the states. Any ideas?
 

Answers and Replies

  • #2
41
0
What are the possible amounts of water the distributor has?
 

Related Threads for: Markov Chain Problem

  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
7
Views
3K
  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
9
Views
4K
  • Last Post
Replies
1
Views
568
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
0
Views
1K
Top