Một mở rộng bài toán "chiếc túi"

Trần Xuân Sinh
Author affiliations

Authors

  • Trần Xuân Sinh Publishing House for Science and Technology

DOI:

https://doi.org/10.15625/1813-9663/14/1/7882

Abstract

In this paper we shall consider the following interger noncovex optimization problem:

Minimize cTz, s.t. x Є X. y Є Y, z Є D. zj = xjyj and integer for all j = 1....n where D is a polyhedral convex set in Rn.

X = {x Є Rn: 0 < a ≤ X ≤ A} and Y = {y Є Rn: 0 ≤ b ≤ y ≤ B. dTy ≤ e}. This problem is reduced to an integer linear programming problem with a convex constraint. The obtained integer problem is solved by a suiable relaxation of its constraints.

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Published

14-03-2016

How to Cite

[1]
T. X. Sinh, “Một mở rộng bài toán ‘chiếc túi’”, JCC, vol. 14, no. 1, pp. 45–51, Mar. 2016.

Issue

Section

Computer Science