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A Linear Programming Approximation for Network Capacity Control Problem with Customer Choice

Feng Liu (), Ying Qu () and Yanan Wang
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Feng Liu: The Central Institute for Correctional Police
Ying Qu: Hebei University of Science and Technology
Yanan Wang: Hebei University of Science and Technology

A chapter in LISS 2012, 2013, pp 1367-1373 from Springer

Abstract: Abstract By dividing customers into different segments according to origin destination (O-D) pairs, we consider a network capacity control problem where each customer chooses the open product within the segment he belongs to. Starting with a Markov decision process (MDP) formulation, we approximate the value function with an affine function of the state vector and develop our model based on the O-D demands. The affine function approximation results in a linear program (LP). We give a column generation procedure for solving the dual problem of the LP and provide the numerical results.

Keywords: Network revenue management; Choice behavior; Dynamic programming; Linear programming (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-32054-5_194

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DOI: 10.1007/978-3-642-32054-5_194

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