Amortized efficiency of list update and paging rules
Communications of the ACM
Best-fit bin-packing with random order
Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms
Concrete Math
The Accommodating Function: A Generalization of the Competitive Ratio
SIAM Journal on Computing
Tight bounds on the competitive ratio on accommodating sequences for the seat reservation problem
Journal of Scheduling - Special issue: On-line algorithm part I
The relative worst order ratio for online algorithms
ACM Transactions on Algorithms (TALG)
The relative worst-order ratio applied to paging
Journal of Computer and System Sciences
On the relative dominance of paging algorithms
Theoretical Computer Science
Comparing First-Fit and Next-Fit for online edge coloring
Theoretical Computer Science
List factoring and relative worst order analysis
WAOA'10 Proceedings of the 8th international conference on Approximation and online algorithms
Comparing online algorithms for bin packing problems
Journal of Scheduling
A new variable-sized bin packing problem
Journal of Scheduling
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The seat reservation problem is the problem of assigning passengers to seats on a train with n seats and k stations enroute in an online manner. The performance of algorithms for this problem is studied using the relative worst order ratio, a fairly new measure for the quality of online algorithms, which allows for direct comparisons between algorithms. This study has yielded new separations between algorithms. For example, for both variants of the problem considered, using the relative worst order ratio, First-Fit and Best-Fit are shown to be better than Worst-Fit.