Convexity Properties for a Function of Two Integer Variables - American Journal of Operations Research

AJOR > Vol.11 No.6, November 2021

American Journal of Operations Research

Volume 11, Issue 6 (November 2021)

ISSN Print: 2160-8830 ISSN Online: 2160-8849

Google-based Impact Factor: 1.72 Citations

Convexity Properties for a Function of Two Integer Variables ()

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Download as PDF (Size: 226KB) PP. 253-256

DOI: 10.4236/ajor.2021.116016 183 Downloads 824 Views

Author(s)

Sara Nourazari¹, Hillel Kumin²

Affiliation(s)

¹Department of Health Care Administration, California State University, Long Beach, CA, USA.
²School of Industrial and Systems Engineering, University of Oklahoma, Norman, OK, USA.

ABSTRACT

Sufficient conditions are given for any local minimum of a function of two integer variables to be a global minimum. An example is given to show that a function of two integer variables need not be discrete convex for this condition to hold.

KEYWORDS

Linear Integer Programming, Convexity

Share and Cite:

Nourazari, S. and Kumin, H. (2021) Convexity Properties for a Function of Two Integer Variables. American Journal of Operations Research, 11, 253-256. doi: 10.4236/ajor.2021.116016.

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