Let P = {x € R¹ : Ax ≤ b}, RP = max{c¹x : x € P} and IP = max {c'x : x € PnZ"}. Show that: (a) RP is a relaxation of IP. (b) If RP is infeasible then the original problem IP is also infeasible.
Let P = {x € R¹ : Ax ≤ b}, RP = max{c¹x : x € P} and IP = max {c'x : x € PnZ"}. Show that: (a) RP is a relaxation of IP. (b) If RP is infeasible then the original problem IP is also infeasible.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let P = {xER: Ax ≤ b}, RP =
R¹
max {c'x : x € PnZ"}. Show that:
max{c'x x € P} and IP =
(a) RP is a relaxation of IP.
(b) If RP is infeasible then the original problem IP is also infeasible.
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