Journal of Advanced Mechanical Design, Systems, and Manufacturing
Online ISSN : 1881-3054
ISSN-L : 1881-3054
Papers(Special Issue)
Multistage stochastic programming model and solution algorithm for the capacity expansion of railway network
Takayuki SHIINATomoaki TAKAICHIYige LISusumu MORITOJun IMAIZUMI
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2018 Volume 12 Issue 3 Pages JAMDSM0077

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Abstract

We consider a capacity expansion problem for a railway network under uncertainty. In our approach, integer and stochastic programming provide a basic framework. We develop a multistage stochastic programming model in which some of the variables are restricted to integer values. Given the distribution of the number of customers in a scenario, the problem of minimizing the expected value of the total investment cost is considered. The problem is reformulated as a problem with first stage integer variables and continuous second stage variables. An L-shaped algorithm is proposed to solve this problem.

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© 2018 by The Japan Society of Mechanical Engineers
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