Abstract: This paper is about the primal-dual relationship in a mixed integer programming problem (MIP) in which integer variables are binary. It shows how the primal-dual relationship of a linear ...

Abstract: We propose a scheme for solving mixed-integer programming problems in which the optimization problem is translated to a ground-state preparation problem on a set of bosonic quantum field ...

We randomly sample text from the C4 dataset as prompts to query the watermarked LLM (''model_with_watermark.py'') for generating watermarked text. C4 dataset can be ...

This is a preview. Log in through your library . Abstract This paper deals with the mathematical programming aspects of a long range planning study done for the Flying Tiger Line, an all-cargo airline ...

Integer programming, a cornerstone of combinatorial optimisation, focuses on the selection of discrete decision variables to solve complex real‐world problems such as scheduling, network design and ...

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Formulations of mathematical programs often require that some of the decision variables take only integer values. Consider the formulation You can follow the same steps to identify binary variables.

ABSTRACT: With the development of the domestic economy and the increase in household income, the demand for investment has been growing, and funds are widely favored for their safety and flexibility.