For an industrial engineer to be useful, the company employing her must have sufficient size to make use of statistical optimization. A common misconception among freshman ind. eng. students is that they will quickly become managers, even CEOs. In reality management requires 5+ years of experience and becoming a CEO requires a strong network.
While most managers think they are competent, even if they are not industrial engineers, no manager thinks they are good computer engineers if they have not graduated from computer engineering. This bias is against industrial engineers who compete for management jobs.
If your undergraduate is in computer engineering you can get quickly through the door and start contributing to the bottom line. If you have management inclination, opportunities will come up. But for you to take advantage of those opportunities, you first have to be let in. As a computer engineer your chance is much higher than an industrial engineer.