Accession Number:

AD0450636

Title:

APPLICATION OF Z-TRANSFORM METHODS TO MARKOV CHAIN PROBLEMS, WITH A MAINTENANCE EXAMPLE

Descriptive Note:

Corporate Author:

NAVAL CIVIL ENGINEERING LAB PORT HUENEME CA

Personal Author(s):

• Love, Stephen F.

Report Date:

1964-10-22

Pagination or Media Count:

13.0

Abstract:

This technical note develops an application of the theory of the Z- transform to the problem of finding the nth power of a transition matrix, motivated by the need of such a solution in the theory of Markov Chains. To illustrate the theory, an example involving vehicle maintenance is presented in detail.

Descriptors:

• *PROBABILITY
• INTEGRAL TRANSFORMS
• INVENTORY CONTROL
• MAINTENANCE
• MATRICES(MATHEMATICS)
• OPERATIONS RESEARCH
• SEQUENCES(MATHEMATICS)
• STATISTICAL PROCESSES
• VEHICLES

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE