Optimization Modeling

Report
Optimizing Portfolio-Level Modernization Investment: An Overview of the Aim Point Investment Model (APIM)
This report introduces the Aim Point Investment Model, which helps decisionmakers allocate portfolio-level resources based on existing Army data sources, subject to constraints on the U.S. Army's ability to employ those resources productively.
Mar 27, 2023
Journal Article
Optimal Non-Pharmaceutical Pandemic Response Strategies Depend Critically on Time Horizons and Costs
This paper performs a large-scale optimization exercise to find optimal non-pharmaceutical pandemic response strategies.
Feb 14, 2023
Report
Overcoming Compound Racial Inequity
Differences in Black and white Americans' economic status show how the harms of the past—slavery, segregation, discrimination—live on in the present. Could wealth allocations help to close the racial wealth gap?
Dec 7, 2022
Report
Commercial and Military Applications of Quantum Technology
There are three main categories of quantum technology: quantum sensing, quantum communication, and quantum computing. How—and when—might these technologies affect national security? And which countries lead in developing them?
Oct 28, 2021
Report
Portfolio Optimization by Means of Multiple Tandem Certainty-Uncertainty Searches: A Technical Description
This paper describes a new approach and associated search schemes for optimization under uncertainty. Analysts can apply this method to a problem with a significantly larger number of decision variables, uncertain parameters, and uncertain scenarios.
Mar 15, 2013
Report
An Optimization Approach to Workforce Planning for the Information Technology Field
A new approach to getting the optimal mix of Army information technology personnel
Jan 1, 2002
Journal Article
A Global Optimization Method for Nonlinear Bilevel Programming Problems
Nonlinear two-level programming deals with optimization problems in which the constraint region is implicitly determined by another problem.
Jan 1, 1999
Report
Solving Optimization Problems Subject to a Budget Constraint with Economies of Scale
This paper describes a finite procedure for locating a global minimum of a problem which is linear in the objective and constraints except for one nonlinear constraint which is of the "reverse convex" variety.
Jan 1, 1974
Report
Implicit Function Theorems for Optimization Problems and for Systems of Inequalities
Implicit function formulas for differentiating the solutions of mathematical programming problems satisfying the conditions of the Kuhn-Tucker theorem are motivated and rigorously demonstrated.
Jan 1, 1974
Report
The Implications of Manpower Supply and Productivity for the Pay and Composition of the Military Force: An Optimization Model
Development of a mathematical model of military manpower used to describe the dynamic flow of personnel within the military system.
Jan 1, 1974
Report
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 ...
Jan 1, 1972
Report
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 ...
Jan 1, 1971
Report
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 ...
Jan 1, 1969
Report
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...
Jan 1, 1966
Report
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...
Jan 1, 1966
Report
Mathematical optimization techniques;[papers]
Mathematical optimization techniques;[papers]
Jan 1, 1963
Report
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.
Jan 1, 1963
Report
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...
Jan 1, 1960
Report
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...
Jan 1, 1959
Report
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....
Jan 1, 1957

Researcher Spotlight

Brien Alkire

Senior Researcher

Brien Alkire is a senior researcher at the RAND Corporation and a professor at the Pardee RAND Graduate School. He leads and conducts research in C4ISR and national security space policy. He serves as director, Staff Development and Education in Project AIR FORCE, and was previously an associate…

Tara L. Terry

Senior Operations Researcher

Tara Terry is a senior operations researcher working across several of RAND's FFRDCs conducting research on behalf of the Air Force, Space Force, Army, Joint Operations, and Homeland Security. Terry has 13+ years of operations research experience with a focus on data analysis, mathematical…

Explore Our People »

Ensuring that Government Use of Technology Serves the Public

Advancing Trustworthy Artificial Intelligence

Six Different Ways: Ukraine Lessons for Japanese Defense Planners

Teacher Well-Being, Russian PMCs, AI Conspiracy Theories: RAND Weekly Recap

Ukraine is running out of ammo. The West doesn’t have enough.

The Policy Currents Podcast

Helping Coastal Communities Plan for Climate Change

Managing Escalation in Crisis and War

Measuring Wellbeing to Help Communities Thrive

Assessing and Articulating the Wider Benefits of Research

Optimization Modeling

Optimizing Portfolio-Level Modernization Investment: An Overview of the Aim Point Investment Model (APIM)

Optimal Non-Pharmaceutical Pandemic Response Strategies Depend Critically on Time Horizons and Costs

Overcoming Compound Racial Inequity

Commercial and Military Applications of Quantum Technology

Portfolio Optimization by Means of Multiple Tandem Certainty-Uncertainty Searches: A Technical Description

An Optimization Approach to Workforce Planning for the Information Technology Field

A Global Optimization Method for Nonlinear Bilevel Programming Problems

Solving Optimization Problems Subject to a Budget Constraint with Economies of Scale

Implicit Function Theorems for Optimization Problems and for Systems of Inequalities

The Implications of Manpower Supply and Productivity for the Pay and Composition of the Military Force: An Optimization Model

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.

Connect

Contact Us

I am interested in

Follow

Stay Informed

Resources

Site Information