Hierarchical Holographic Modeling

A first-phase development of a mathematical theory for a new modeling schema that is termed hierarchical holographic modeling is presented. This theory will provide a methodology for capturing and dealing with a fundamental, but heretofore neglected, characteristic of large-scale systems-their multifarious nature. Truly large-scale systems reflect a bewildering variety of resources and capabilities and respond to an equally wide variety of objectives in response to the action of diverse users. Many elements involved in this congeries of resources, objectives, actions, etc., are noncommensurable and, at least potentially, conflicting. Realistic attempts at modeling have necessarily represented commensurable features of limited aspects of the overall systems leaving many difficult questions of a more comprehensive nature to be posed and solved heuristically or even subconsciously. The prospective application of hierarchical holographic modeling to energy and water resources systems is discussed.

[1]  Yacov Y. Haimes,et al.  Hierarchical Overlapping Coordination for Large Scale Systems , 1981 .

[2]  Yacov Y. Haimes,et al.  Hierarchical analyses of water resources systems : modeling and optimization of large-scale systems , 1977 .

[3]  Wayne J. Davis,et al.  Three-level models for hierarchical coordination , 1977 .

[4]  Yacov Y. Haimes,et al.  Multiobjective optimization in water resources systems : the surrogate worth trade-off method , 1975 .

[5]  Timothy W. Ruefli,et al.  A Generalized Goal Decomposition Model , 1971 .

[6]  Yacov Y. Haimes,et al.  Computational Aspects of Overlapping Coordination Methodology for Linear Hierarchical Systems , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  Yacov Y. Haimes,et al.  Hierarchical structures in water resources systems management , 1972 .

[8]  James R. Freeland,et al.  Goal partitioning in a hierarchical organization , 1975 .

[9]  B. Stott,et al.  Review of load-flow calculation methods , 1974 .

[10]  Yacov Y. Haimes,et al.  Level-B Multiobjective Planning for Water and Land , 1979 .

[11]  Thomas F. Edgar,et al.  Basic research in engineering: process and systems dynamics and control. High priority research needs relevent to energy , 1980 .

[12]  Y. Haimes,et al.  Multiobjectives in water resource systems analysis: The Surrogate Worth Trade Off Method , 1974 .

[13]  Yacov Y. Haimes,et al.  The Surrogate Worth Trade-Off (SWT) Method and its Extensions , 1980 .

[14]  K. Tarvainen,et al.  Hierarchical-Multiobjective Framework for Energy Storage Systems , 1981 .