TERM – a very simple and efficient method to solve assignment problems

Murugesan, Regan; Esakkiammal, T.

doi:10.12988/ams.2020.914275

Cited by 2 publications

(3 citation statements)

References 2 publications

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“…Table 24 shows the challenging APs for the zeros assignment approach E-SOFT [12] and their optimal solutions generated by the NILA technique. Table 25 displays the challenging APs for the zeros assignment approach TERM [9] and their optimal solutions produced by the NILA technique. [3] / Khalid M., and et al [5] and their optimal solutions derived by the NILA technique.…”

Section: Numerical Examples and Resultsmentioning

confidence: 99%

“…In 2020, Murugesan R. and Esakkiammal T. [9] introduced a new zeros assignment approach entitled TERM for solving a broad choice of APs with least endeavor of mathematical calculations. Simulation results authenticate that the TERM method is an efficient method which produces optimal solution directly 80% cases.…”

Section: Introductionmentioning

confidence: 99%

“…In 2022 Murugesan R. [11] introduced a new method named CASSI which tests the optimality of an assignment solution obtained by an assignment method and improves it towards optimal, if it is not optimal. This was necessitated because certain methods, such as TERM [9], have not produced the optimal solutions directly to certain problems. In the literature of assignment problems, the CASSI method is of its first kind, which can be used for optimality testing and optimizing a solution obtained through any method based on the 'zeros assignment approach'.…”

Section: Introductionmentioning

confidence: 99%

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NILA – An Innovative Technique for Optimality Testing and Optimizing a Solution in Assignment Problems

Murugesan¹,

Selvi²

2022

GJPAM

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In this research article, we propose a very simple and innovative iterative technique named NILA (equivalent name for the MOON in the classical Tamil language) for optimality testing and also optimization of a solution obtained by a method in assignment problems. The NILA technique has been tested on a number of near optimal and optimal solutions obtained for many balanced and unbalanced assignment problems by several other available methods. Testing results validate that the proposed NILA technique is the ideal one for testing the optimality of an obtained solution and also optimizing that solution, if that's not optimal. Thereby, we obtain the 'tested optimal' solutions to assignment problems. Another added advantage of the proposed technique is that it also generates the possible numbers of alternative optimal solutions to a given assignment problem, it they exist to the problem. Howsoever, we have to accept the reality that for the assignment problems the solutions generated by the 'Hungarian' method and the 'Mantra' technique are 'optimal by default' (not necessary to test its optimality). It is the design (divine!) specialty of the two methods.

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Section: Numerical Examples and Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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NILA – An Innovative Technique for Optimality Testing and Optimizing a Solution in Assignment Problems

Murugesan¹,

Selvi²

2022

GJPAM

Self Cite

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AI-Driven Decision Support System for Intuitionistic Fuzzy Assignment Problems

Kumar

2024

Advances in Media, Entertainment, and the Arts

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The assignment problem (AP) is a well-known optimization problem that deals with the allocation of 'n' jobs to 'n' machines on a 1-to-1 basis. It minimizes the cost/time or maximizes the profit/production of the problem. Generally, the profit, sale, cost, and time are all called the parameters of the AP (in a traditional AP, out of these parameters, exactly one parameter will be considered a parameter of the problem). These are not at all crisp numbers due to several uncontrollable factors, which are in the form of uncertainty and hesitation. So, to solve the AP in this environment, the author proposes the software and ranking method-based PSK (P. Senthil Kumar) method. Here, plenty of theorems related to intuitionistic fuzzy assignment problems (IFAPs) are proposed and proved by the PSK. To show the superiority of his method, he presents 4 IFAPs. The computer programs for the proposed problems are presented precisely, and the results are verified with Matlab, RGui, etc. In addition, comparative results, discussion, merits and demerits of his method, and future studies are given.

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TERM – a very simple and efficient method to solve assignment problems

Cited by 2 publications

References 2 publications

NILA – An Innovative Technique for Optimality Testing and Optimizing a Solution in Assignment Problems

NILA – An Innovative Technique for Optimality Testing and Optimizing a Solution in Assignment Problems

AI-Driven Decision Support System for Intuitionistic Fuzzy Assignment Problems

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