David P. Morton

09181 Working Group on Hybridization between R&S, DoE and Optimization (2009)

Chen, Chun-Hung, Hong, Liu, Kantor, Paul B., Morton, David P., Pichitlamken, Juta, Seeger, Matthias

This is the report of the working group on the relation between, or hybrid combination of design experiment optimization and R&S. The rapporteur, Paul Kantor, learned a great deal at the conference...

COMPSTAT’2004 Symposium ○c Physica-Verlag/Springer 2004 TESTING SOLUTION QUALITY IN STOCHASTIC PROGRAMMING: A SINGLE REPLICATION PROCEDURE (2008)

Güzin Bayraksan, David P. Morton, Monte Carlo Simulation

Abstract: Wedevelop a procedure for testing the quality of a candidate solution for a class of stochastic programs. Quality is defined via the optimality gap and the procedure’s output is a...

Models for nuclear smuggling interdiction (2006)

Morton, David P., Pan, Feng, Saeger, Kevin J.

We describe two stochastic network interdiction models for thwarting nuclear smuggling. In the first model, the smuggler travels through a transportation network on a path that maximizes the...

Models for nuclear smuggling interdiction (2006)

Morton, David P., Pan, Feng, Saeger, Kevin J.

We describe two stochastic network interdiction models for thwarting nuclear smuggling. In the first model, the smuggler travels through a transportation network on a path that maximizes the...

Stopping Rules for a Class of Sampling-Based Stochastic Programming Algorithms (2006)

Morton, David P.

Decomposition and Monte Carlo sampling-based algorithms hold much promise for solving stochastic programs with many scenarios. A critical component of such algorithms is a stopping criterion to...

An Enhanced Decomposition Algorithm for Multistage Stochastic Hydroelectric Scheduling (2006)

Morton, David P.

Handling uncertainty in natural inflow is an important part of a hydroelectric scheduling model. In a stochastic programming formulation, natural inflow may be modeled as a random vector with known...

Assessing solution quality in stochastic programs (2006)

Güzin Bayraksan, David P. Morton

Determining whether a solution is of high quality (optimal or near optimal) is a fundamental question in optimization theory and algorithms. In this paper, we develop Monte Carlo samplingbased...

Assessing Solution Quality in Stochastic Programs (2005)

Bayraksan, Güzin, Morton, David P.

Determining whether a solution is of high quality (optimal or near optimal) is a fundamental question in optimization theory and algorithms. In this paper, we develop Monte Carlo sampling-based...

Assessing Solution Quality in Stochastic Programs (2005)

Bayraksan, Güzin, Morton, David P.

Determining whether a solution is of high quality (optimal or near optimal) is a fundamental question in optimization theory and algorithms. In this paper, we develop Monte Carlo sampling-based...

in Stochastic Programming Committee: (2005)

Güzin Bayraksan, David P. Morton, John Hasenbein, Leon Lasdon, Elmira Popova, Gustavo De Veciana, ...

Dedicated to the loving memory of my father, Erdo˘gan Bayraksan, who taught me so much. Also dedicated to my mother, Dr. Gülsen Bayraksan and my brother, Ömer Bayraksan, for their love and...

Assessing Solution Quality in Stochastic Programs (2005)

Morton, David P., Bayraksan, Guzin

Assessing whether a solution is of high quality (optimal or near optimal) is a fundamental question in optimization. We develop Monte Carlo sampling-based procedures for assessing solution quality in...

Assessing policy quality in multi-stage stochastic programming (2004)

Chiralaksanakul, Anukal, Morton, David P.

Solving a multi-stage stochastic program with a large number of scenarios and a moderate-to-large number of stages can be computationally challenging. We develop two Monte Carlo-based methods that...

Assessing policy quality in multi-stage stochastic programming (2004)

Chiralaksanakul, Anukal, Morton, David P.

Solving a multi-stage stochastic program with a large number of scenarios and a moderate-to-large number of stages can be computationally challenging. We develop two Monte Carlo-based methods that...

Optimizing Strategic Airlift (2003)

Baker, Steven F., Morton, David P., Rosenthal, Richard E., Williams, Laura Melody

We describe a large scale linear programming model for optimizing strategic airlift capability. The model routes cargo and passengers through a specified transportation network with a given fleet of...

A stochastic program for optimizing military sealift subject to attack (2002)

Morton, David P., Salmerón, Javier, Wood, R. Kevin

We describe a stochastic program for planning the wartime, sealift deployment of military cargo subject to attack. The cargo moves on ships from US or allied seaports of embarkation through seaports...

A stochastic program for optimizing military sealift subject to attack (2002)

Morton, David P., Salmerón, Javier, Wood, R. Kevin

We describe a stochastic program for planning the wartime, sealift deployment of military cargo subject to attack. The cargo moves on ships from US or allied seaports of embarkation through seaports...

Higher-Order Upper Bounds on the Expectation of a Convex Function (2002)

Dokov, Steftcho P., Morton, David P.

We develop a decreasing sequence of upper bounds on the expectation of a convex function. The n-th term in the sequence uses moments and cross-moments of up to degree n from the underlying random...

Higher-Order Upper Bounds on the Expectation of a Convex Function (2002)

Dokov, Steftcho P., Morton, David P.

We develop a decreasing sequence of upper bounds on the expectation of a convex function. The n-th term in the sequence uses moments and cross-moments of up to degree n from the underlying random...

Second-order lower bounds on the expectation of a convex function (2001)

Dokov, Steftcho P., Morton, David P.

We develop a class of lower bounds on the expectation of a convex function. The bounds utilize the first two moments of the underlying random variable, whose support is contained in a bounded...

Second-order lower bounds on the expectation of a convex function (2001)

Dokov, Steftcho P., Morton, David P.

We develop a class of lower bounds on the expectation of a convex function. The bounds utilize the first two moments of the underlying random variable, whose support is contained in a bounded...

Optimization Modeling for Airlift Mobility. (1998)

Morton, David P., Rosenthal, Richard E., Weng, Lim T.

We describe a multi-period optimization model, implemented in GAMS, to help the U.S. Air Force improve logistical efficiency. It determines the maximum on-time throughput of cargo and passengers that...

Application and Extension of the THRUPUT II Optimization Model for Airlift Mobility. (1997)

Rosenthal, Richard E., Morton, David P., Baker, Steven F., Horton, David, Weng, Lim T.

THRUPUT II is a linear programming model developed at the Naval Postgraduate School for the U.S. Air Force Studies and Analyses Agency (AFSAA) to help improve the efficiency of the airlift mobility...