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All methods start from an initial seed solution with no profit and, therefore, a relative gap of 100% to the optimal solution.
Boyce, Ralevic-Dekic and Bar-Gera [67] and Dial [68] recommend a relative gap of 0.0001 to ensure a perfect convergence to road flow stability.
Hence, given fixed rates of the initial-betas, the solution algorithm itself needs to converge and meet its own termination criterion which is mainly driven by a relative gap.
Since our motivation in this paper is to explore the impact of multi-path routing rather than developing specialized efficient solution algorithms for the problem, we accept solutions with a relative gap of no more than 1.0%.
This article addresses a relative gap in the literature on real estate development and property rights in transitional economies, particularly on the "shadow" role of private developers in urban management at the local level.
As German GDP per capita rose from roughly 3,000 US dollars in 1960 to almost 30,000 US dollars in 2003, we accompany these figures and timelines by what might be called a "relative gap plot," namely the percentage difference between actual and synthetic Germany.
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If reflecting a similar relative gap in medical examiner and coroner knowledge and records, a racial/ethnic discrepancy in the prevalence of this comorbidity reported on death certificates could represent a contributing factor in the suicide rate gap.
On the coarse scale there are significant similarities between the experimental results and some 2D simulations on the global convective wall heat flux (better than a 10% relative gap).
Note that the only loop forwarded to the second block in the flowchart (where it says "Solve the corresponding (un-capacitated) traffic assignment problem (TAP) for only one iteration") is repeated until the corresponding TAP converges to a trivial relative gap.
For 2E-CVRP-E instances, the total cost of the best solution found by the matheuristic is smaller than that of the best-known 2E-CVRP solution with an average relative gap of 6.37%.
The transformation function also leads to a two-part relative gap measure for consistently monitoring convergence to a RSUE solution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com