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A Complexity-theoretic Analysis of Green Pickup-and-Delivery Problems

AAAI 2021 · Learning theory and algorithms › Combinatorial and search optimization · approach: Structure and complexity of constraint reasoning · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Restrict GPD to one vehicle, one depot/fuel station, and unit workloadGPD · GPDstncomplexityMixed
Bound each city's in-degree and out-degree to at most 2GPD · GPDdgrcomplexityMixed
Combine one depot/fuel station with in-degree and out-degree at most 2GPD · GPDstn dgrcomplexityMixed
Restrict the task graph to a ringGPDstn dgr · GPDring stn dgrcomplexity: strongly NP-complete -> weakly NP-completeHelped
Use dynamic programming over city and fuel-consumption statesGPDring stn dgr · GPDring stn dgrrunning time: O(n × fvhl)Helped

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