Technical Note—An Integer Maximization Problem | Zendy

Richard Evan Schwartz | Zendy; Clive L. Dym | Zendy

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Technical Note—An Integer Maximization Problem

Author(s) -

Richard Evan Schwartz,

Clive L. Dym

Publication year - 1971

Publication title -

operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.797

H-Index - 140

eISSN - 1526-5463

pISSN - 0030-364X

DOI - 10.1287/opre.19.2.548

Subject(s) - rounding , integer (computer science) , combinatorics , mathematics , simple (philosophy) , maximization , discrete mathematics , mathematical optimization , computer science , philosophy , epistemology , programming language , operating system

This note solves the following problem: For vi > 0 and 0 d Vm1, ', mn = âi=1i=nvi1-dmi with respect to m1, ', mn, subject to the conditions that the mi are nonnegative integers and âi=1i=nmi = M an integer. The solution is obtained by a simple rounding procedure applied to the well known solution of the corresponding continuous problem.

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