Accession Number:

AD0417663

Title:

STOCHASTIC ANALYSIS OF MULTI-COMPARTMENT SYSTEMS

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA

Personal Author(s):

• Marsaglia, G.

Report Date:

1963-07-01

Pagination or Media Count:

26.0

Abstract:

This is a discussion of methods for describing, mathematically, flows between compartments in a multi-compartment system. We will give the con ventional theory, based on the solution of a system of linear differential equations we will also give a theory based on probability, viewing the system as a collection of states with a particle moving from statto state with certain probabilities, remaining in each state a random time with an exponential distribution. Finally, we will take still another approach, again based on probability theory, in which we consider the sojourn time of a particle, that is, the time it spends after leaving a given compartment before returning to that compartment.

Descriptors:

• *PARTICLES
• *STOCHASTIC PROCESSES
• DIFFERENTIAL EQUATIONS
• DIFFUSION
• FEEDBACK
• MOTION
• PROBABILITY
• SIMULTANEOUS EQUATIONS
• STATISTICAL DISTRIBUTIONS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE