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- W3029472009 abstract "In the Online-Dial-a-Ride Problem (OLDARP) a server travels to serve requests for rides. We consider a variant where each request specifies a source, destination, release time, and revenue that is earned for serving the request. The goal is to maximize the total revenue earned within a given time limit. We prove that no non-preemptive deterministic online algorithm for OLDARP can be guaranteed to earn more than half the revenue earned by $$textsc {opt}$$. We then investigate the segmented best path ($$textsc {sbp}$$) algorithm of [8] for the general case of weighted graphs. The previously-established lower and upper bounds for the competitive ratio of $$textsc {sbp}$$ are 4 and 6, respectively, under reasonable assumptions about the input instance. We eliminate the gap by proving that the competitive ratio is 5 (under the same assumptions). We also prove that when revenues are uniform, $$textsc {sbp}$$ has competitive ratio 4. Finally, we provide a competitive analysis of $$textsc {sbp}$$ on complete bipartite graphs." @default.
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- W3029472009 date "2020-01-01" @default.
- W3029472009 modified "2023-10-16" @default.
- W3029472009 title "New Bounds for Maximizing Revenue in Online Dial-a-Ride" @default.
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- W3029472009 doi "https://doi.org/10.1007/978-3-030-48966-3_14" @default.
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