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Dtic Ada622680%3a Stochastic Dynamic Mixed Integer Programming (sd Mip) by Defense Technical Information Center
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1DTIC ADA622680: Stochastic Dynamic Mixed-Integer Programming (SD-MIP)
By Defense Technical Information Center
Mixed-Integer Programming has traditionally been restricted to deterministic models. Recent research has opened the door to stochastic optimization models, which are typically dynamic in nature. This project lays the foundation for stochastic dynamic mixed-integer and linear programming (SD-MIP). This project has produced several new ideas in connection with a) convexification of two-stage mixed-integer sets and b) multi-stage (including two-stage) stochastic linear programming. Together a) and b) provide the foundations for SD-MIP problems. From new concepts and algorithms to applications and software, this project has made significant breakthroughs in all aspects. This report provides a synopsis of both theoretical and computational results. As a preview, we mention that currently available deterministic MIP solvers, as powerful as they are known to be, are unable to solve SD-MIP models of modest size within an hour of computing. In contrast, our decomposition approach provides provably optimal solutions within the hour time-limit.
“DTIC ADA622680: Stochastic Dynamic Mixed-Integer Programming (SD-MIP)” Metadata:
- Title: ➤ DTIC ADA622680: Stochastic Dynamic Mixed-Integer Programming (SD-MIP)
- Author: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA622680: Stochastic Dynamic Mixed-Integer Programming (SD-MIP)” Subjects and Themes:
- Subjects: ➤ DTIC Archive - UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES - *INTEGER PROGRAMMING - *LINEAR PROGRAMMING - *STOCHASTIC PROCESSES - ALGORITHMS - APPROXIMATION(MATHEMATICS) - COMPUTERIZED SIMULATION - DECOMPOSITION - DETERMINANTS(MATHEMATICS) - DYNAMICS - MARKOV PROCESSES - MATHEMATICAL MODELS - NODES - OPTIMIZATION - RANDOM VARIABLES - VECTOR ANALYSIS
Edition Identifiers:
- Internet Archive ID: DTIC_ADA622680
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The book is available for download in "texts" format, the size of the file-s is: 18.24 Mbs, the file-s for this book were downloaded 50 times, the file-s went public at Fri Nov 02 2018.
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