Accession Number : AD0768106

Title :   A Discrete Time Population Control Model with Set-Up Cost,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Jaquette,David L.

Report Date : APR 1973

Pagination or Media Count : 15

Abstract : A discrete time stochastic model is often used to describe a natural animal, pest, or epidemic population. Control action, representing harvesting, exterminating, etc., can be taken periodically to reduce the current population level, and so modify the future growth of the population. Dynamic programming can be used to determine optimal control policies for models where growth and control produce economically measurable benefits and/or costs. When controlling action incurs a setup charge plus a cost component linear in the amount of state reduction produced the optimal policy is found to be characterized by a pair ((s sub n),(S sub n)), where reduction is made in period n to state (s sub n) if the native population is found to be above state (S sub n). Analogy with inventory theory is exploited in proving the result. (Author)

Descriptors :   (*EPIDEMIOLOGY, CONTROL SYSTEMS), (*PEST CONTROL, MATHEMATICAL MODELS), DYNAMIC PROGRAMMING, CONVEX SETS, TRANSFER FUNCTIONS, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE