On solving the sum-of-ratios problem

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August undefined, 2024

Web15 de mai. de 2008 · In spite of the recent progress in fractional programming, the sum-of-ratios problem remains untoward. Freund and Jarre proved that this is an NP-complete … Web1 de jun. de 2010 · The sum-of-ratios problems have numerous applications in economy and engineering. The sum-of-ratios problems are considered to be difficult, as these functions are highly nonconvex and multimodal. In this study, we propose a harmony search algorithm for solving a sum-of-ratios problem.

A linear relaxation algorithm for solving the sum-of-linear-ratios ...

Web24 de mar. de 2024 · Founded on the idea of subdividing the [Formula: see text]-dimensional output space, a branch-and-bound algorithm for solving the sum-of-linear-ratios (SLR) problem is proposed. First, a two-stage ... Web1 de jan. de 2002 · This article presents a branch-and-bound algorithm for globally solving the nonlinear sum of ratios problem (P). The algorithm economizes the required computations by conducting the branch-and-bound search in źp, rather than in źn, where p is the number of ratios in the objective function of problem (P) and n is the number of … structural engineering firms tampa

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Web1 de abr. de 2003 · A recent survey of applications, theoretical results and various algorithmic approaches for the sum-of-ratios problem is provided. One of the most difficult fractional programs encountered so far is the sum-of-ratios problem. Contrary to earlier expectations it is much more removed from convex programming than other multi-ratio … Web1 de out. de 2015 · Solving the original problem was shown to be equivalent to solving a sequence of linear sum-of-ratios problems in the image space. A further degree of simplification was achieved when sums of elementary ratios were replaced with their concave envelopes in a global optimization framework based on a rectangular branch … Web14 de jun. de 2024 · This paper proposes a parametric method for solving a generalized fractional programming problem which is called sum-of-ratios problem. The sum-of-ratios problems occur in many fields including computer vision, finance, engineering and management. Compared with other methods based on branch-and-bound procedure, our … structural engineering firms in houston

Global Optimization Algorithm for the Nonlinear Sum of Ratios Problem ...

A Global Optimization Algorithm for Sum of Linear Ratios Problem

Web25 de set. de 2024 · A convex separation technique and a two-part linearization technique are proposed, which can be used to generate a sequence of linear programming relaxation of the initial nonconvex programming problem. Since the sum of linear ratios problem (SLRP) has many applications in real life, for globally solving it, an efficient branch and … structural engineering jobs in sgWebProblem (see [15, 16]).where , , , are randomly generated in ; are generated in ; , .In the investigated problem, denotes the number of the constraints, denotes the dimension of the problem, and denotes the number of ratios. From Table 1, compared with the known algorithms, numerical results indicate that the proposed algorithm can be used to globally … structural engineering firms san diego

"Web10 de ago. de 2024 · To sum up the post on how to solve ratios, we can say that three different methods can be used to solve them. Besides these methods, some common … " - On solving the sum-of-ratios problem

On solving the sum-of-ratios problem

An Output-Space Based Branch-and-Bound Algorithm for Sum-of …

WebThings to remember. A ratio is a comparison of two quantities. A proportion is an equality of two ratios. To write a ratio: Determine whether the ratio is part to part or part to whole. … Web1 de jun. de 2010 · The sum-of-ratios problems have numerous applications in economy and engineering. The sum-of-ratios problems are considered to be difficult, as these …

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Webfor the Sum-of-Ratios Problem Yunchol Jong a a Center of Natural Sciences, University of Science, Pyongyang, DPR Korea July 22, 2012 Abstract. This paper presents a practical method for finding the globally optimal solution to the sum-of-ratios problem arising in image processing, engineering and management. Unlike traditional methods which may get Web28 de set. de 2024 · Since the sum of linear ratios problem (SLRP) has many applications in real life, for globally solving it, an efficient branch and bound algorithm is presented in …

WebWe consider the problem of minimizing the sum of a convex function and of pý1 fractions subject to convex constraints. ... Solving the Sum-of-Ratios Problem by an Interior … WebDownloadable (with restrictions)! In this paper, a practicable contraction approach is proposed for solving the sum of the generalized polynomial ratios problem (P) with generalized polynomial constraints. Due to the intrinsic difficulty of problem (P), less work has been devoted to solving this problem. The proposed approach is based on …

Web13 de mai. de 2014 · This paper presents a branch and bound algorithm for globally solving the sum of concave-convex ratios problem (P) over a compact convex set. Firstly, the problem (P) is converted to an equivalent problem (P1). Then, the initial nonconvex programming problem is reduced to a sequence of convex programming problems by … Web1 de fev. de 2024 · The procedures for constructing nonconvex test problems with quadratic functions of any dimension, where global and local solutions are known are proposed, …

Web1 de jul. de 2013 · We solve the problem with various values of p, up to 75.The algorithm is run eight times for each p.In Fig. 1, “data1”–“data8” are the results for each time.The …

WebAbstract. This article presents a branch and bound algorithm for globally solving the nonlinear sum of ratios problem (P). The algorithm works by globally solving a sum of … structural engineering firms philadelphiaWeb1 de set. de 2008 · In literature, there have been many algorithms for solving a general sumof-ratios problem (typically the sum-of-linear-ratios) such as the interior point … structural engineering jobs in malaysiaWeb1 de jul. de 2013 · We solve the problem with various values of p, up to 75.The algorithm is run eight times for each p.In Fig. 1, “data1”–“data8” are the results for each time.The thick line is the average CPU time of 8 runs for each p while the dashed curve is an approximation for the average CPU time. Fig. 1 depicts the relation between the CPU … structural engineering firms seattleWeb1 de fev. de 2024 · Due to the intrinsic difficulty of problem (P), less work has been devoted to solving this problem. The proposed approach is based on reducing the original … structural engineering iconWeb1 de fev. de 2024 · bib0011 H.P. Benson, Global optimization algorithm for the nonlinear sum of ratios problem, J. Optim. Theory Appl., 112 (2002) 1-29. Google Scholar Digital … structural engineering jobs bangaloreWebMentioning: 10 - a b s t r a c tThe sum-of-ratios problems have numerous applications in economy and engineering. The sum-of-ratios problems are considered to be difficult, as these functions are highly nonconvex and multimodal. In this study, we propose a harmony search algorithm for solving a sum-of-ratios problem. Numerical examples are also … structural engineering international scimagoWebFounded on the idea of subdividing the (p − 1)-dimensional output space, a branch-and-bound algorithm for solving the sum-of-linear-ratios(SLR) problem is proposed.First, a two-stage equivalent transformation method is adopted to obtain an equivalent problem(EP) for the problem SLR. structural engineering in the philippines