Ones Assignment Method for Solving Assignment Problems (original) (raw)
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An Alternative Proposed Method for Solution of Assignment Problem
2020
The assignment problem is a particular type of linear programming problem. In this paper, we analyzed the standard and existing proposed methods. After studying these methods, we proposed a new alternative method for solving the assignment problem. We examined the newly proposed method by a couple of numerical examples and compare this result with the standard method. The main characteristic of this newly proposed method is that it constructed a very easy logical and arithmetical algorithm. Here we point out some advantages and limitations of the new proposed method. Programming code for the newly proposed method has been added in this paper.
A Comparative Analysis of Assignment Problem
Assignment problems arise in different situation where we have to find an optimal way to assign n-objects to mother objects in an injective fashion. The assignment problems are a well studied topic in combinatorial optimization. These problems find numerous application in production planning, telecommunication VLSI design, economic etc. The assignment problems is a special case of Transportation problem. Depending on the objective we want to optimize, we obtain the typical assignment problems. Assignment problem is an important subject discussed in real physical world we endeavor in this paper to introduce a new approach to assignment problem namely, matrix ones assignment method or MOA-method for solving wide range of problem. An example using matrix ones assignment methods and the existing Hungarian method have been solved and compared it graphically. Also some of the variations and some special cases in assignment problem and its applications have been discussed in the paper.
A New Method for Finding an Optimal Solution of Assignment Problem
International Journal for Research in Applied Science & Engineering Technology (IJRASET), 2022
In this paper a new method is proposed for finding an optimal solution of a wide range of assignment problems, directly. A numerical illustration is established and the optimality of the result yielded by this method is also checked. The most attractive feature of this method is that it requires very simple arithmetical and logical calculations. The method is illustrated through an example.
A final note on the ones assignment method and its variants: they do not work
International Journal of Industrial and Systems Engineering, 2018
A recent paper presented a new algorithm, called the ones assignment method, for solving the assignment problem. This method is similar to the Hungarian method, but seeks to create, through division, ones in each row and column (instead of zeros as in the Hungarian method) of the assignment matrix. Subsequent steps are analogous to the Hungarian method. Several other researchers have suggested modifications to the ones assignment method in an effort to overcome flaws in the original method. In this brief paper, we provide a trivial assignment problem and show that neither the ones assignment method nor any of its variants are able to find the optimal solution to this problem which is obvious on inspection. We further argue that any further modifications to this or any similar method will likewise prove to be ineffective.
New Improved Ones Assignment Method
Assignment problem is a special case of Transportation problem. It is actually a minimizing model that assigns numbers of people with equal number of jobs, henceforth, minimizing the corresponding costs. In this paper an introduction is given to " New Improved Ones Assignment " which is a path to making an assignment problem. Earlier H. Gamel also brought to light the drawbacks of One assignment method. Our improvement to the Ones assignment method, leads to comparatively brief computation time and more convenient and strong codes. It also overcomes the drawbacks as mentioned previously
IOP Publishing, 2021
The assignment problems (AP) are an important part of linear programming problems (LPP) that deal with the allocation of different resources for different activities based on one to one. The assignment problem is established in a variety positions when decision makers need to determine the optimal allocation and this means assigning only one task to one person to achieve maximum profits or imports or achieve less time or less cost based on the type of problem. In this work, a new technique has been provided to find an optimal solution for the assignment problems of maximization objective function. Comparing the proposed technique results with the Hungarian method indicates that the new technique has easier and less steps to find the optimal solution and thus the time is reduced and the effort is largely reduced.
Two New Effective Methods to Find the Optimal Solution for the Assignment Problems
2020
Assignment problem (AP) is one of the main optimization problems, itis a private type of transportation problem (TP) in which every origin must have the ability to meet the request of any destination, i.e. any worker must be able to perform any job. The assignment problem is used to find one for one among a group of workers each of whom specializes for a specific job among a set of jobs, the main goal is to reduce gross cost (or reduce gross time) according to user requirements. This paper introduces two new methods (Al-Saeedi's 1st M. and Al-Saeedi's 2nd M.) to find a solution to the assignment problem. Moreover, some numerical examples were given to compare the results of the solution of the two new methods with the result of the solution of the Hungarian method. The two new methods are a systematic procedure, simple to apply and with minimal time and effort when using. The numerical experiment indicates that the two new methods are effective and promising.
A New Diagonal Optimal Approach for Assignment Problem
Different situations give rise to the assignment problem, where we must discover an optimal way to assign 'n' objects to 'm' in an bijective function. We have, in this research, propose the possibility of solving exactly the Linear Assignment Problem with a method that would be more efficient than the Hungarian method of exact solution. This method is based on applying a series of pairwise interchanges of assignments to a starting heuristically generated feasible solution, wherein each pairwise interchange is guaranteed to improve the objective function value of the feasible solution.It seems that our algorithm finds the optimal solution which is the same as one found by the Hungarian method, but in much simpler. 7980 M. Khalid et al.
Divide Column and Subtract One Assignment Method for Solving Assignment Problem
American Scientific Research Journal for Engineering, Technology, and Sciences, 2017
Assignment problem is an important problem in mathematics and is also discuss in real physical world. In this paper we attempt to introduce a new proposed approach for solving assignment problem with algorithm and solution steps. We examine a numerical example by using new method and compute by existing two methods. Also we compare the optimal solutions among this new method and two existing methods. The proposed method is a systematic procedure, easy to apply for solving assignment problem.
DIVIDE ROW MINIMA AND SUBTRACT COLUMN MINIMA TECHNIQUE FOR SOLVING ASSIGNMENT PROBLEMS
Assignment problems deal with the question how to assign n objects to m other objects in an injective fashion in the best possible way. An assignment problem is completely specified by its two components the assignments, which represent the underlying combinatorial structure, and the objective function to be optimized, which models \\\\\\\"the best possible way\\\\\\\". The assignment problem refers to another special class of linear programming problem where the objective is to assign a number of resources to an equal number of activities on a one to one basis so as to minimize total costs of performing the tasks at hand or maximize total profit of allocation. In this paper we introduce a new technique to solve assignment problems namely, Divide Row Minima and Subtract Column Minima .For the validity and comparison study we consider an example and solved by using our technique and the existing Hungarian (HA) and matrix ones assignment method(MOA) and compare optimum result shown graphically.