Accession Number:

AD0600373

Title:

NUMERICAL SOLUTION OF FUNCTIONAL EQUATIONS BY MEANS OF LAPLACE TRANSFORM-VI: STOCHASTIC TIMEOPTIMAL CONTROL.

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Bellman,R. E.
• kalaba,R. E.
• Lockett,J.

Report Date:

1964-05-01

Pagination or Media Count:

21.0

Abstract:

The problem of transforming a given system from an initial state to a desired terminal state in the most efficient manner is a basic one in control theory, operations research, and routing in networks. This study deals with how to route so as to maximize the probability of arriving at the destination on time or earlier. The basic equations are derived via dynamic programming, and the principal computational tool is the numerical inversion of Laplace transforms. Author

Descriptors:

• (*EQUATIONS
• NUMERICAL ANALYSIS)
• (*NUMERICAL ANALYSIS
• INTEGRAL TRANSFORMS)
• *INTEGRAL TRANSFORMS
• *STOCHASTIC PROCESSES
• DYNAMIC PROGRAMMING
• PROBABILITY
• INTEGRALS
• NONLINEAR DIFFERENTIAL EQUATIONS
• OPTIMIZATION

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE