| Linear Programming: Introduction |
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| Linear programming is the process of taking various linear inequalities relating to some situation, and finding the "best" value obtainable under those conditions. A typical example would be taking the limitations of materials and labor, and then determining the "best" production levels for maximal profits under those conditions. |
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| The Critical Path Method |
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| Background,Some questions about the project,What is the Critical Path Method(CPM)?,Why the CPM?
How to use the CPM ?,Questions and Answers |
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| Transportation, Assignment and Transshipment Problems |
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| A transportation problem basically deals with the problem, which aims to find the best way to fulfill the demand of n demand points using the capacities of m supply points. |
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| Senstive Analysis |
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| We have already been introduced to sensitivity analysis in Chapter 1 via the geometry of a simple example.
We saw that the values of the decision variables and those of the slack and surplus variables remain unchanged
even though some coefficients in the objective function are varied. |
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| The Dual Linear Program |
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| In discussing duality, it is common to depart from the standard equality form of the LP given in Section 4.1 in order to highlight the symmetry of
the primal-dual relationships. |
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| Resource leveling |
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| Over allocation means the scheduled work is not likely to occur (or the resource may be annoyed, overworked or burned out). Under allocation means suboptimal utilizing and billing of resource, lowering of profitability. Lastly, your schedule won’t be accurate, unless resources are correctly loaded. |
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| Project Network Diagram |
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| Project Network Diagram are explained in this book |
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| PERT for Project Planning and Scheduling |
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| PERT, the project Evaluation and Review Technique, is a network-based aid for planning and scheduling the many interrelated tasks in a
large and complex project |
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| Classical Optimization Theory |
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| Preliminaries,Necessary Conditions for Constrained Local Maximum and Minimum,Sufficient Conditions for Constrained Local Maximum
and Minimum,etc.., |
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| Nonlinear Programming and the Kuhn-Tucker Conditions |
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| Our constrained optimization analysis has dealt only with situations in which there is a single
constraint, and in which all the variables are generally positive at the optimum. |
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| Linear Programming |
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| Duality,Pivot Operation,Simple Method,Generalized Duality,Cycling,etc.., |
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| Linear Programming Models |
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| Steps in Developing a Linear Programming (LP) Model,Properties of LP Models,Example LP Model Formulation: The Product Mix Problem,
Example: Flair Furniture Co,etc.., |
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| Lagrangian Methods |
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| Lagrangian Methods and example are been expalined in this book |
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| Kuhn-Tucker conditions |
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| In this document, we set out the constrained optimisation with inequality constraints and state the Kuhn-Tucker necessary conditions for a solution; after an example, we state the Kuhn-Tucker sufficient conditions for a maximum. |
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| Integer Programming - Basics |
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| The linear-programming models that have been discussed thus far all have been continuous, in the sense that
decision variables are allowed to be fractional. |
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| Integer Programming |
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| Mixed and Pure Integer Programming Problems,Examples,Further Uses of Integer Variables,Solving IP Problems: Cutting Plane
Algorithm etc.., |
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| Dual Simplex Algorithm |
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| Dual Simplex Algorithm and the definition are explained in this chapter |
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| The Dual Simplex Method |
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| Algorithm as explained so far known as primal simplex,starting with feasible basis,
look for optimal basis while keeping feasibility.Alternative algorithm known as dual simplex,starting with optimal basis,
look for feasible basis while keeping optimality |
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| Duality and Sensitivity Analysis |
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| The optimal solution of a linear-programming problem represents a snapshot of the conditions that prevail at the time of the
model is formulated |
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| Decision Making and Problem Solving |
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| Decision making and problem solving are critically important skill areas for
emergency managers, planners, first responders, voluntary agency
coordinators, and other professionals in emergency management. |
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