Amortized efficiency of list update and paging rules
Communications of the ACM
Data structures and network algorithms
Data structures and network algorithms
Competitive algorithms for on-line problems
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
Competitive algorithms for server problems
Journal of Algorithms
On the power of randomization in online algorithms
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
An optimal on-line algorithm for K-servers on trees
SIAM Journal on Computing
New results on server problems
SIAM Journal on Discrete Mathematics
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
ACM Computing Surveys (CSUR)
On-line k-Truck Problem and Its Competitive Algorithms
Journal of Global Optimization
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In this paper, some results concerning the k-truck problem are produced. First, the algorithms and their complexity concerning the off-line k-truck problem are discussed. Following that, a lower bound of competitive ratio for the on-line k-truck problem is given. Based on the Position Maintaining Strategy (PMS), we get some new results which are slightly better than those of [1] for general cases. We also use the Partial-Greedy Algorithm (PG) to solve this problem on a special line. Finally, we extend the concepts of the on-line k-truck problem to obtain a new variant: Deeper On-line k-Truck Problem (DTP).