Title of Paper:A SEQUENTIAL CONVEX PROGRAM METHOD TO DC PROGRAM WITH JOINT CHANCE CONSTRAINTS

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Date of Publication:2012-08-01

Journal:JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION

Included Journals:SCIE、Scopus

Volume:8

Issue:3

Page Number:733-747

ISSN No.:1547-5816

Key Words:Sequential convex approximation approach; DC programming; joint chance constraints

Abstract:In this paper, we consider a DC (difference of convex) programming problem with joint chance constraints (JCCDCP). We propose a DC function to approximate the constrained function and a corresponding DC program (P epsilon) to approximate the JCCDCP. Under some mild assumptions, we show that the solution of Problem (PE) converges to the solution of JCCDCP when epsilon down arrow 0. A sequential convex program method is constructed to solve the Problem (P epsilon). At each iteration a convex program is solved based on the Monte Carlo method, and the generated optimal sequence is proved to converge to the stationary point of Problem (P epsilon).