Preservation of structural properties in optimization with decisions truncated by random variables and its applications

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

2 Scopus Citations
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Author(s)

  • Xin Chen
  • Xiangyu Gao
  • Zhan Pang

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)340-357
Journal / PublicationOperations Research
Volume66
Issue number2
Online published23 Feb 2018
Publication statusPublished - Mar 2018

Abstract

A common technical challenge encountered in many operations management models is that decision variables are truncated by some random variables and the decisions are made before the values of these random variables are realized, leading to nonconvex minimization problems. To address this challenge, we develop a powerful transformation technique that converts a nonconvex minimization problem to an equivalent convex minimization problem.We showthat such a transformation enables us to prove the preservation of some desired structural properties, such as convexity, submodularity, and L-convexity, under optimization operations, that are critical for identifying the structures of optimal policies and developing efficient algorithms. We then demonstrate the applications of our approach to several important models in inventory control and revenue management: dual sourcing with random supply capacity, assemble-to-order systems with random supply capacity, and capacity allocation in network revenue management.

Research Area(s)

  • Assemble-to-order system, Dual sourcing, L-convexity, Revenue management, Supply capacity uncertainty