Abstract

The Enhanced Zero Suffix Method is implementing in this paper to find an optimal solution to the problem of assignment & traveling salesman. To achieve optimality, the proposed approach requires a smaller number of iterations for finding the optimal ASP solution. In order to verify the validity of the proposed procedure, numerical examples are provided here. The approach proposed is very basic, easy to understand and implement.

Highlights

  • One of the earliest applications is the problem of assignment, and it is a special case of linear programming issues that occur in a number of fields, such as healthcare, transport, education, and sports

  • Zero Suffix method, to solve the problem of distinct from the previous methods to be applied to assignment and travelling salesman, which is different from previous methods

  • Step 5: assign a person a task by choosing a maximum S value, and if the maximum value of the task is one and we can assign the s=. Task to their respective persons, and if the value of the task is over a maximum S value

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Summary

Introduction

One of the earliest applications is the problem of assignment, and it is a special case of linear programming issues that occur in a number of fields, such as healthcare, transport, education, and sports. The rows represent the objects or people to be assigned, whereas the columns represent the items or tasks to be assigned. The. Hungarian method of assignment problem [5-7] is known to be much faster and more effective. Hungarian method of assignment problem [5-7] is known to be much faster and more effective In this method, we can reduce the given matrix by at least one zero per row and column. Zero Suffix method, to solve the problem of distinct from the previous methods to be applied to assignment and travelling salesman, which is different from previous methods

Enhanced Zero Suffix Method
Conclusion
Approximation Method for Unbalanced
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