THE THEORY AND APPLICATIONS OF GENERALIZED LINEAR CONTROL PROCESSES.
Abstract
A nonlinear continuous time optimal control model is formulated which we call a generalized linear control process. In this model the state equations are linear with respect to the state variables, but they are allowed to be nonlinear with respect to the control variables; certain nonnegativity restrictions are also imposed upon the state variables. A theory is developed for this model, including necessary and sufficient conditions for optimality for both finite and infinite planning horizons. Applications of this theory are made to the following problems: a maintenance model for a machine; an investments and operations model of a firm; the Markov decision process with both finite and infinite planning horizons; a hiring and overtime scheduling model of production; and a production and storage model for products subject to breakage, theft, or spoilage. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1970
- Accession Number
- AD0702067
Entities
People
- Zachary F. Lansdowne
Organizations
- Stanford University