Tran-Thanh, Long, Xia, Yingce, Qin, Tao and Jennings, Nicholas R. (2015) Efficient algorithms with performance guarantees for the stochastic multiple-choice knapsack problem. In IJCAI'15 Proceedings of the 24th International Conference on Artificial Intelligence. ACM. pp. 403-409 .
Abstract
We study the stochastic multiple-choice knapsack problem, where a set of K items, whose value and weight are random variables, arrive to the system at each time step, and a decision maker has to choose at most one item to put into the knapsack without exceeding its capacity. The goal of the decision-maker is to maximise the total expected value of chosen items with respect to the knapsack capacity and a finite time horizon. We provide the first comprehensive theoretical analysis of the problem. In particular, we propose OPT-S-MCKP, the first algorithm that achieves optimality when the value-weight distributions are known. This algorithm also enjoys O(sqrt{T}) performance loss, where T is the finite time horizon, in the unknown value-weight distributions scenario. We also further develop two novel approximation methods, FR-S-MCKP and G-S-MCKP, and we prove that FR-S-MCKP achieves O(sqrt{T}) performance loss in both known and unknown value-weight distributions cases, while enjoying polynomial computational complexity per time step. On the other hand, G-S-MCKP does not have theoretical guarantees, but it still provides good performance in practice with linear running time.
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- Faculties (pre 2018 reorg) > Faculty of Physical Sciences and Engineering (pre 2018 reorg) > Electronics & Computer Science (pre 2018 reorg) > Agents, Interactions & Complexity (pre 2018 reorg)
Current Faculties > Faculty of Engineering and Physical Sciences > School of Electronics and Computer Science > Electronics & Computer Science (pre 2018 reorg) > Agents, Interactions & Complexity (pre 2018 reorg)
School of Electronics and Computer Science > Electronics & Computer Science (pre 2018 reorg) > Agents, Interactions & Complexity (pre 2018 reorg)
Current Faculties > Faculty of Engineering and Physical Sciences > School of Electronics and Computer Science > Agents, Interactions and Complexity > Agents, Interactions & Complexity (pre 2018 reorg)
School of Electronics and Computer Science > Agents, Interactions and Complexity > Agents, Interactions & Complexity (pre 2018 reorg) - Current Faculties > Faculty of Engineering and Physical Sciences > School of Electronics and Computer Science > Agents, Interactions and Complexity
School of Electronics and Computer Science > Agents, Interactions and Complexity - Faculties (pre 2018 reorg) > Faculty of Physical Sciences and Engineering (pre 2018 reorg) > Electronics & Computer Science (pre 2018 reorg)
Current Faculties > Faculty of Engineering and Physical Sciences > School of Electronics and Computer Science > Electronics & Computer Science (pre 2018 reorg)
School of Electronics and Computer Science > Electronics & Computer Science (pre 2018 reorg)
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