Optimization Modeling

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Research

Nov 1, 1972

Computer Performance Analysis: Framework and Initial Phases for a Performance Improvement Effort

A distillation of RAND experience and research in the measurement and evaluation of computer system performance into a procedural framework for an improvement effort consisting of seven phases.
Expert Insights

Jan 1, 1972

An Optimization Algorithm for Cluster Analysis.

Given a set of [N] points and distances between all points, this paper presents an algorithm for determining an optimal partition of the points into [k] mutually exclusive and exhaustive subsets or clusters according to an objective function defined ...
Expert Insights

Jan 1, 1971

Optimization of Price and Quality in Service Systems.

Discussion of techniques for quantitative determination of the optimal prices and service quality in a wide class of systems. A probabilistic demand model sensitive to both price and quality is derived from the microeconomic concept that a consumer ...
Expert Insights

Jan 1, 1969

Searching for the Multiplier in One Constraint Optimization Problems.

One-constraint optimization problems are approached via Lagrange multipliers. Sequential search schemes for generating suitable trial multiplier values are compared, and it is shown that, in general, the minimax sequential search is bisection. For ...
Expert Insights

Jan 1, 1966

Discrete Optimization Via Marginal Analysis.

Discrete optimization, subject to one constraint, is attacked by Lagrangian analysis. Incremental allocation schemes are given that generate undominated allocations. In an important special case, the complete family of undominated allocations is ge...
Research

Jan 1, 1966

Successive approximation by quadratic fitting as applied to optimization problems

An investigation of a technique of solving optimization problems by expanding the original functional about an approximating function to obtain a quadratic function, which can then be solved exactly using dynamic programming. Applications and numeric...
Research

Jan 1, 1963

Mathematical optimization techniques;[papers]

Mathematical optimization techniques;[papers]
Research

Jan 1, 1963

On the Use of the Calculus of Variations in Trajectory Optimization Problems

A presentation of the methodology required in the use of the calculus of variations and its application to a number of trajectory problems.
Expert Insights

Jan 1, 1960

Some mathematical aspects of optimization problems in engineering.

An application of the functional-equation technique of dynamic programming as a guide in the formulation and in the analytical and numerical treatment of chemical-engineering problems that involve multistage decision processes. Deterministic, stochas...
Expert Insights

Jan 1, 1959

A discussion of several concepts used in the optimization of control systems by dynamic programming.

The application of dynamic-programming techniques to the optimization of control systems. The concepts of the state of a controlled element and the transition matrix are used to describe the behavior of the controlled element. The paper discusses var...
Expert Insights

Jan 1, 1957

General Systems Approaches to Telecommunication Optimization.

An application of linear and dynamic programming to solve numerous communication system problems. Treatments for communication system extension problems and for equipment replacement policies are given, and various generalizations are indicated....
Research

Jan 1, 1954

Optimization in Dynamic Allocation Problems by a Modified Calculus of Variations Technique

A direct proof that modified Euler equations solve linear-type problems that can not be optimized by the classical calculus of variations technique.

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Optimization Modeling

Optimization Modeling

Related Topics

Explore RAND’s Work on this Topic

Error

Computer Performance Analysis: Framework and Initial Phases for a Performance Improvement Effort

An Optimization Algorithm for Cluster Analysis.

Optimization of Price and Quality in Service Systems.

Searching for the Multiplier in One Constraint Optimization Problems.

Discrete Optimization Via Marginal Analysis.

Successive approximation by quadratic fitting as applied to optimization problems

Mathematical optimization techniques;[papers]

On the Use of the Calculus of Variations in Trajectory Optimization Problems

Some mathematical aspects of optimization problems in engineering.

A discussion of several concepts used in the optimization of control systems by dynamic programming.

General Systems Approaches to Telecommunication Optimization.

Optimization in Dynamic Allocation Problems by a Modified Calculus of Variations Technique

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Optimization Modeling

Optimization Modeling

Related Topics

Explore RAND’s Work on this Topic

Error

Computer Performance Analysis: Framework and Initial Phases for a Performance Improvement Effort

An Optimization Algorithm for Cluster Analysis.

Optimization of Price and Quality in Service Systems.

Searching for the Multiplier in One Constraint Optimization Problems.

Discrete Optimization Via Marginal Analysis.

Successive approximation by quadratic fitting as applied to optimization problems

Mathematical optimization techniques;[papers]

On the Use of the Calculus of Variations in Trajectory Optimization Problems

Some mathematical aspects of optimization problems in engineering.

A discussion of several concepts used in the optimization of control systems by dynamic programming.

General Systems Approaches to Telecommunication Optimization.

Optimization in Dynamic Allocation Problems by a Modified Calculus of Variations Technique

Oops! An unexpected error has occurred.