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Preface; Contents; 1 Introductory 3M&I-Body Problem; Abstract; 1.1 Industrial Engineering and Operations Research Versus Wiener's Cybernetics View; 1.1.1 Introduction; 1.1.2 Outline of the 3M&I-Body System; 1.1.3 Cybernetics Versus 3M&I Issues; 1.1.4 Value Concept in the 3M&I-Body System; 1.2 New Challenge: Nature Versus Artifacts Issues; 1.2.1 Creative Challenge and Finite Mathematics; 1.2.2 Outline of Sandwich Theory (Proposition); 1.2.3 Outline of Balancing Theory (Proposition); 1.2.4 Toward Post-ERP/SCM; References; 2 Fundamentals of 3M&I-Body System; Abstract
2.1 Algebra: Pair Matrix Body and Line Versus OE2.1.1 Introduction; 2.1.2 Pair Matrix: Definition and Axiom; 2.1.3 Vector Case and Matsui's ME; 2.1.4 Pair Body: Line Versus OE; 2.1.5 Duality of Series Versus OE; 2.2 Analytics: Sandwich Theory and Matsui's Equation; 2.2.1 Outline of the Sandwich Problem; 2.2.2 Sandwich Proposition: Enterprise Type; 2.2.3 Type of Enterprise-Motor Body; 2.2.4 Type of Particle Physics Bodies; 2.3 Control: Progressive Method and 3D-Geometry; 2.3.1 3D-Control Problem of 3M&I-Body; 2.3.2 Progressive and Matsui's Logic; 2.3.3 Medium Estimation of State
2.3.4 3D Cell and Graphics Modeling2.3.5 Two Types of 3D Dynamism; References; 3 Science/Balancing of Multibody Systems; Abstract; 3.1 Dual Job Shop Versus Line System and Balancing; 3.1.1 Introduction to 3M&I Balancing; 3.1.2 Job Shop and Flow Time; 3.1.2.1 Job Shop Problem and Example; 3.1.2.2 Dual JS Versus Conveyor System; 3.1.3 Flow Time Formula and Example; 3.1.3.1 Single-Machine (Line) Case; 3.1.3.2 Two-Machines (Line) Case; 3.1.4 Duality Relation Using a Flow Approach; 3.1.4.1 Flow Time and Matsui's Equation; 3.1.4.2 Duality and Balancing View
3.2 Bowl Balancing and Arrangement of Bodies3.2.1 Limited-Cycle Problem with Multiperiod; 3.2.2 Multi Limited-Cycle Modeling; 3.2.2.1 Stochastic Approach to Multicycle; 3.2.2.2 Multilimited Cycle Model with Penalties; 3.2.3 Formulation and Theorem; 3.2.3.1 Notation and Expected Cost; 3.2.3.2 Theorem and Property; 3.2.4 Numerical Example for Assignment; 3.2.4.1 Case of Fixed Target Production Times; 3.2.4.2 Case of Viable and Inappropriate Target Production Times; References; 4 Economics of Invisible Collaboration; Abstract; 4.1 Medium/Invisible Collaboration of Bodies
4.1.1 Introduction to Collaboration4.1.2 Body-Balancing System and Medium Approach; 4.1.2.1 Economics in the Balancing Problem; 4.1.2.2 Medium Balancing Approach; 4.1.3 Balancing Principles and Network; 4.1.3.1 The d-Balancing Principle; 4.1.3.2 Network Flow Principle; 4.1.4 d-Balancing; 4.1.4.1 Conveyor System with Stopper; 4.1.4.2 Network Flow; 4.2 Ellipse Map and SCM/GDP Collaboration; 4.2.1 Ellipse Map and Collaboration; 4.2.2 Ellipse Theory and Medium Balancing; 4.2.2.1 Fundamental Ellipse Theory of SCM; 4.2.2.2 Medium Balancing and Hypothesis; 4.2.3 Parallel SCM Balancing
2.1 Algebra: Pair Matrix Body and Line Versus OE2.1.1 Introduction; 2.1.2 Pair Matrix: Definition and Axiom; 2.1.3 Vector Case and Matsui's ME; 2.1.4 Pair Body: Line Versus OE; 2.1.5 Duality of Series Versus OE; 2.2 Analytics: Sandwich Theory and Matsui's Equation; 2.2.1 Outline of the Sandwich Problem; 2.2.2 Sandwich Proposition: Enterprise Type; 2.2.3 Type of Enterprise-Motor Body; 2.2.4 Type of Particle Physics Bodies; 2.3 Control: Progressive Method and 3D-Geometry; 2.3.1 3D-Control Problem of 3M&I-Body; 2.3.2 Progressive and Matsui's Logic; 2.3.3 Medium Estimation of State
2.3.4 3D Cell and Graphics Modeling2.3.5 Two Types of 3D Dynamism; References; 3 Science/Balancing of Multibody Systems; Abstract; 3.1 Dual Job Shop Versus Line System and Balancing; 3.1.1 Introduction to 3M&I Balancing; 3.1.2 Job Shop and Flow Time; 3.1.2.1 Job Shop Problem and Example; 3.1.2.2 Dual JS Versus Conveyor System; 3.1.3 Flow Time Formula and Example; 3.1.3.1 Single-Machine (Line) Case; 3.1.3.2 Two-Machines (Line) Case; 3.1.4 Duality Relation Using a Flow Approach; 3.1.4.1 Flow Time and Matsui's Equation; 3.1.4.2 Duality and Balancing View
3.2 Bowl Balancing and Arrangement of Bodies3.2.1 Limited-Cycle Problem with Multiperiod; 3.2.2 Multi Limited-Cycle Modeling; 3.2.2.1 Stochastic Approach to Multicycle; 3.2.2.2 Multilimited Cycle Model with Penalties; 3.2.3 Formulation and Theorem; 3.2.3.1 Notation and Expected Cost; 3.2.3.2 Theorem and Property; 3.2.4 Numerical Example for Assignment; 3.2.4.1 Case of Fixed Target Production Times; 3.2.4.2 Case of Viable and Inappropriate Target Production Times; References; 4 Economics of Invisible Collaboration; Abstract; 4.1 Medium/Invisible Collaboration of Bodies
4.1.1 Introduction to Collaboration4.1.2 Body-Balancing System and Medium Approach; 4.1.2.1 Economics in the Balancing Problem; 4.1.2.2 Medium Balancing Approach; 4.1.3 Balancing Principles and Network; 4.1.3.1 The d-Balancing Principle; 4.1.3.2 Network Flow Principle; 4.1.4 d-Balancing; 4.1.4.1 Conveyor System with Stopper; 4.1.4.2 Network Flow; 4.2 Ellipse Map and SCM/GDP Collaboration; 4.2.1 Ellipse Map and Collaboration; 4.2.2 Ellipse Theory and Medium Balancing; 4.2.2.1 Fundamental Ellipse Theory of SCM; 4.2.2.2 Medium Balancing and Hypothesis; 4.2.3 Parallel SCM Balancing