Open AccessAPPLICATION OF OPTIMIZATION THEORY TO THE ECONOMICS OF AQUACULTURE 4
Author(s) -
Botsford Louis W.,
Rauch H. E.,
Shleser Robert
Publication year - 1974
Publication title -
proceedings of the annual meeting ‐ world mariculture society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.655
H-Index - 60
eISSN - 1749-7345
pISSN - 0164-0399
DOI - 10.1111/j.1749-7345.1974.tb00206.x
Subject(s) - control variable , state variable , aquaculture , mathematical model , variable (mathematics) , variables , state space , mathematical optimization , optimal control , mathematics , computer science , statistics , fishery , biology , fish <actinopterygii> , physics , mathematical analysis , thermodynamics
Engineering methods of system analysis and optimal control theory are applied to the commercial raising of aquatic species. Mathematical models of aquaculture system components are discussed and optimization theory is applied to the design and operation of an aquaculture facility. The models are formulated in terms of variables which describe the condition of the system (State Variables) and variables which influence the condition of the system (Control Variables). The State Variables are the number of animals in a batch, their average weight, and their cost. The Control Variables relate to the water temperature, water recirculation or replacement, space per animal, amount of food per animal, and kind of food. Differential equation which relate the State Variables to the Control Variables are presented. Mathematical optimization techniques are used to determine the values of Control Variables which minimize the cost. The use of the Technique in research and design of an aquaculture facility is discussed and sample numerical results are presented for lobster culture.