Linear Programming { Randomization

Improving the Randomization Step in Feasibility Pump

Feasibility pump (FP) is a successful primal heuristic for mixed-integer linear programs (MILP). The algorithm consists of three main components: rounding fractional solution to a mixed-integer one, projection of infeasible solutions to the LP relaxation, and a randomization step used when the algorithm stalls. While many generalizations and improvements to the original Feasibility Pump have be...

Linear, Semidefinite Programming and Randomization Methods for Combinatorial Optimization Problems

ADVANTAGES OF UNPREDICTABLE MULTIAGENT SYSTEMS: RANDOMIZED POLICIES FOR SINGLE AGENTS AND AGENT-TEAMS by

ADVANTAGES OF UNPREDICTABLE MULTIAGENT SYSTEMS: RANDOMIZED POLICIES FOR SINGLE AGENTS AND AGENT-TEAMS In adversarial settings, action randomization can effectively deteriorate an opponent’s capability to predict and exploit an agent’s or an agent team’s policies. Unfortunately, little attention has been paid to intentional randomization of agents’ policies in single-agent or decentralized (PO)M...

Algorithms Based on Randomization and Linear and Semidefinite Programming

Increasing Security through Communication and Policy Randomization in Multiagent Systems

Despite significant recent advances in decision theoretic frameworks for reasoning about multiagent teams, little attention has been paid to applying such frameworks in adversarial domains, where the agent team may face security threats from other agents. This paper focuses on domains where such threats are caused by unseen adversaries whose actions or payoffs are unknown. In such domains, acti...

Structure, Duality, and Randomization: Common Themes in AI and OR

Both the Artificial Intelligence (AI) community and the Operations Research (OR) community are interested in developing techniques for solving hard combinatorial problems. OR has relied heavily on mathematical programming formulations such as integer and linear programming, while AI has developed constrained-based search and inference methods. Recently, we have seen a convergence of ideas, draw...