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講座題目：PenaltyDecompositionApproaches toLargeScaleSecondBestCongestionPricing

主講人：郭 磊 華東理工大學(xué)

講座時(shí)間：2022年12月28日（周三）16:00－17:30

騰訊會(huì)議：521-470-033

內(nèi)容摘要

The second-best congestion pricing (SBCP) problem as an instance of bilevel program models is one of the most challenging problems in transportation. Different from the ordinary nonlinear programs, the bilevelmodel of SBCP involves a two-level hierarchical structure which makes it extremely difficult to design and analyze solution methods. All existing solution methods are heuristic without convergence guarantee and/or suitable for small networks under strong assumptions. This paper focuses on efficiently solving large scale SBCP with theoretical guarantee. We first reveal some implicit structure properties based on the marginal value function reformulation. Two dedicated penalty decomposition algorithms are then proposed by effectively exploiting these revealed properties. Convergence of the proposed algorithms is established under some commonly used conditions in transportation. The numerical results on a public network test collection validate our theoretical conclusions and demonstrate the practical potential of the proposed algorithms especially for large scale SBCP.

主講人簡(jiǎn)介

郭磊，華東理工大學(xué)副教授、特聘研究員。2013年于大連理工大學(xué)獲得博士學(xué)位，2014-2015年在加拿大維多利亞大學(xué)做博士后研究，2015-2019年就職于上海交通大學(xué)任助理教授、副教授。研究方向?yàn)樽顑?yōu)化及其在運(yùn)籌學(xué)中的應(yīng)用，共發(fā)表SCI/SSCI期刊論文26篇，其中在Mathematical Programming、Mathematics of Operations Research、SIAM系列期刊、Transportation Research Part B等國(guó)際權(quán)威期刊發(fā)表論文10余篇。主持或結(jié)題國(guó)家自然科學(xué)基金項(xiàng)目3項(xiàng)、省部級(jí)基金項(xiàng)目3項(xiàng)。