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Assignment Problem
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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.
Background: Assignment problem is of great importance in mathematics and is also discuss in real physical world. In this paper we attempt to bring in a new effective method for solving assignment problem with algorithm and solution steps. We experiment a numerical example by using this method and enumerate by existing two methods. Moreover we assimilate the optimal solutions among this new method and two existing methods. The new proposed method is a systematic process, easy to apply for solving assignment problem. Result: The optimum solution of proposed method is same as the optimum solutions of existing method which is 41. Conclusion: New proposed method is different from two existing methods and is also effective 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.
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.
American Journal of Operations Research, 2016
Applied Mathematical Sciences, 2017
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.
ACM Transactions on Mathematical Software, 1980
bisa di baca langsung
Bloomsbury Publishing, 2015
All designers will feel that creativity and innovation are at the heart of their designs. But for a design to have an effective and lasting impact it needs to work within certain structures, or have those structures created suitably around it. No matter how you work, a design can always be improved by assessing where it fits into the market, how it best to strengthen it before its set in stone, who it could appeal to. It needs to be managed. In this accessible and informative second edition, Kathryn Best brings together the theory and practice of design management. With new interviews, case studies and related exercises, she provides an up to date guide for students wanting to know more about the strategy, process and implementation crucial to the management of design. The book takes its reader through the essential steps to good management of design and highlights topics currently under debate. In each part of the book Strategy, Process and Implementation are each explained using advice from leaders in the industry and real life examples. Best breaks up each part into clear and readable sections to create the perfect academic and professional practice book on design management.
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