United States Department of Transportation
i
New Continuous Approximation Models for Passenger and Freight Transportation [Research Brief]
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2022-07-01
[PDF-323.04 KB]
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Abstract:The purpose of this project has been to design simple and concise mathematical models for quantifying the reductions in vehicle miles travelled (VMT), among other cost measures, that result from implementing modern logistics systems with complex features such as ridesharing, crowdsourcing or teleworking. Traditionally, these problems have been solved in a discrete setting, involving fixed sets of (for example) demand points, time periods, and service facility locations; one then solves them with an integer mathematical programming solver. A drawback of this approach is that solving large-scale instances would require enormous computational efforts which likely increase exponentially with the problem instance size. A further drawback is that such models are often extremely complex, which hinders understanding of salient problem features and managerial insights.
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