Confidence-based reasoning in stochastic constraint programming

In this work we introduce a novel approach, based on sampling, for finding assignments that are likely to be solutions to stochastic constraint satisfaction problems and constraint optimisation problems. Our approach reduces the size of the original problem being analysed; by solving this reduced problem, with a given confidence probability, we obtain assignments that satisfy the chance constraints in the original model within prescribed error tolerance thresholds. To achieve this, we blend concepts from stochastic constraint programming and statistics. We discuss both exact and approximate variants of our method. The framework we introduce can be immediately employed in concert with existing approaches for solving stochastic constraint programs. A thorough computational study on a number of stochastic combinatorial optimisation problems demonstrates the effectiveness of our approach.

Authors

• Roberto Rossi
• Brahim Hnich Izmir University of Economics
• S. Armagan Tarim
• Steven Prestwich University College Cork

Keywords

• Confidence-based reasoning
• Stochastic constraint programming
• Sampled SCSP
• ( α, ϑ )-solution
• ( α, ϑ )-solution set
• Confidence interval analysis
• Global chance constraint