Abstract
AbstractAs a well‐developed optimization problem, the knapsack problem has been broadly applied in various fields involving resource allocations, especially production planning. In this paper, we propose a target‐based distributionally robust knapsack problem (TDRKP), considering both uncertain profit and capacity, as well as the impact of a given target for profit. Based on a shortfall risk measure and piecewise utility function, the violation risk of the target is investigated. To solve the model efficiently, TDRKP is reformulated into computationally tractable form as a second‐order conic program. Through a series of numerical experiments, we verify that the proposed TDRKP formulation performs better than both the sample average approximation model and the minimizing violation probabilities model.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Transactions in Operational Research
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
