1. An almost robust model for minimizing disruption exposures in supply systems
- Author
-
Chee Khiang Pang, Chin Hon Tan, Tsan Sheng Ng, and Kena Zhao
- Subjects
050210 logistics & transportation ,Decision support system ,Mathematical optimization ,021103 operations research ,Information Systems and Management ,General Computer Science ,Linear programming ,business.industry ,Supply disruption ,Computer science ,05 social sciences ,0211 other engineering and technologies ,Robust optimization ,Water supply ,02 engineering and technology ,Management Science and Operations Research ,Industrial and Manufacturing Engineering ,Modeling and Simulation ,Distributed generation ,0502 economics and business ,Systems design ,Probability distribution ,business ,Hedge (finance) - Abstract
This paper studies two-stage disruption exposure minimization problems, motivated by the supply disruption issues in the energy and water supply systems. In particular, we address the ambiguity in both the probability distribution and risk preference of decision-makers towards disruption exposures. First, we propose a two-stage distributionally robust model with adjustable uncertainty sets, which solves a supply system solution with the least possible disruption exposures. We show that this two-stage robust disruption exposure model can be reduced to a computationally attractive single-stage mixed-integer linear program. We then propose an extended almost-robust disruption guarantee model to account for the ambiguity in the risk preference of decision-makers. We demonstrate that this almost-robust guarantee model can reveal clear preferences of most decision-makers under limited distribution information, which however does not resort to any particular disutility function specification and can be solved efficiently using a binary search algorithm. A decision support framework is also developed to guide users on how to apply the proposed disruption exposure models. Finally, we apply the proposed models to a distributed energy supply system design problem. Numerical results show that our models significantly outperform a risk-neutral model in hedging against a broad set of supply distributions. Moreover, the almost-robust guarantee model exhibits its advantages in hedging against high disruption levels, and performs the best under the vast majority of distributions regarding all tested statistical criteria.
- Published
- 2021