Project management and analysis of investment plans in public works: optimization processes choices to maximize resource allocation results

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2023-01-01 DOI:10.12988/ams.2023.917427

A. A. Arnao, R. Guarneri, R. Lo Bosco, A. Puglisi

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引用次数: 0

Abstract

In applied sciences, such as economics, engineering, mobility and lo-gistics problems, management, etc., Integer Linear Programming (ILP) deals in a systematic way with the minimization (maximization) problem of a linear function with several variables (some also of a random nature), subject to equality constraints and Integer Linear Programming (ILP) deals in a systematic way with the minimization (maximization) problem of a linear function with several variables (some also of a random nature), subject to equality constraints and linear inequality and to the constraint that one or more variables has integer values. This mathematical approach is essential to address and solve a very large number of real problems, typical of the applied sciences, when there is an indivisibility of the good to be produced or of the resource to be used and thus the consequent need to represent the problem through models of Linear Programming with integer variables. The applications of the method concern many applications of modern society and extend from industrial analysis for the distribution of goods and the sequenc-ing of productive activities, to economic problems aimed at the optimal management of a securities portfolio, to those of planning and optimal planning of public investments, to the problems inherent in biology, high

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公共工程项目管理与投资计划分析:优化过程选择，使资源配置结果最大化

在应用科学中，如经济学、工程学、流动性和物流问题、管理学等，整数线性规划(ILP)以系统的方式处理具有多个变量(有些也是随机性质)的线性函数的最小化(最大化)问题。整数线性规划(ILP)以系统的方式处理具有多个变量(其中一些也是随机的)的线性函数的最小化(最大化)问题，这些变量受等式约束和线性不等式的约束，以及一个或多个变量具有整数值的约束。这种数学方法对于处理和解决大量的实际问题至关重要，这是应用科学的典型问题，当要生产的产品或要使用的资源不可分割时，因此需要通过具有整数变量的线性规划模型来表示问题。该方法的应用涉及现代社会的许多应用，从商品分配和生产活动排序的工业分析，到以证券投资组合的最佳管理为目标的经济问题，到公共投资的规划和最佳规划，再到生物学固有的问题

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

期刊介绍： The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems. The principal areas of interest of this journal are the following: 1.Mathematical modelling of systems in applied sciences; 2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences; 3.Numerical and computer treatment of mathematical models or real systems. Special attention will be paid to the analysis of nonlinearities and stochastic aspects. Within the above limitation, scientists in all fields which employ mathematics are encouraged to submit research and review papers to the journal. Both theoretical and applied papers will be considered for publication. High quality, novelty of the content and potential for the applications to modern problems in applied sciences and technology will be the guidelines for the selection of papers to be published in the journal. This journal publishes only articles with original and innovative contents. Book reviews, announcements and tutorial articles will be featured occasionally.