transportation models
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2021 ◽  
Vol 6 (4 (114)) ◽  
pp. 44-51
Author(s):  
Elias Munapo

The transportation problem is well known and has very important applications. For this well-researched model, there are very efficient approaches for solving it that are available. These approaches include formulating the transportation problem as a linear program and then using the efficient methods such as the simplex method or interior point algorithms. The Hungarian method is another efficient method for solving both the assignment model and the general transportation model. An assignment problem is a special case of the transportation model in which all supply and demand points are 1. Every transportation problem can be converted into an assignment problem since rows and columns can be split so that each supply and each demand point is 1. The transportation simplex method is another method that is also used to solve the general transportation problem. This method is also called the modified distribution method (MODI). To use this approach, a starting solution is required and the closer the starting solution to the optimal solution, the fewer the iterations that are required to reach optimality. The fourth method for transportation models is the network simplex method, which is the fastest so far. Unfortunately, all these approaches for transportation models are serial in nature and are very difficult to parallelize, which makes it difficult to efficiently use the available massively parallel technology. There is a need for an efficient approach for the transportation problem, which is easily parallelizable. This paper presents a See-Saw approach for solving the general transportation problem. This is an extension of the See-Saw approach for solving the assignment problem. The See-Saw moves can be done independently, which makes the approach proposed in this paper more promising than the available methods for transportation models


2021 ◽  
pp. 101-135
Author(s):  
Mei Miranda Zhang

2020 ◽  
Vol 24 (22) ◽  
pp. 17291-17307
Author(s):  
Palash Sahoo ◽  
Dipak Kumar Jana ◽  
Sutapa Pramanik ◽  
Goutam Panigrahi

Foristek ◽  
2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Rizana Fauzi ◽  
Maryantho Masarrang ◽  
Yulius S. Pirade ◽  
Sari Dewi

The use of three-phase induction motors in the industrial world is increasingly growing, in addition to industry, the transportation department is also increasingly using induction motors with the development of transportation models that use electricity. But testing in the performance of induction motors is still not applied. Only the industrial world is able to set test standards for the performance of induction motors. Performance can be seen by monitoring how the output speed of the induction motor. This study aims to create a system that is able to see the performance of the induction motor output in a graph in real time and continuously. In the implementation results, it can be seen that the monitoring system can display a graph that matches the reading of the speed sensor mounted on the induction motor.


Author(s):  
Sanaullah Jamali ◽  
Muhammad Mujtaba Shaikh ◽  
Abdul Sattar Soomro

In this paper, we investigate the claimed optimality of a new method – Revised Distribution (RDI) Method – for finding optimal solution of balanced and unbalanced transportation models directly and compare the RDI method with other such methods. A large set of problems have been tested by RDI and other methods, and the results were compared with the Modified distribution (MODI) method – an optimal method. We found that the mostly the results of RDI are not optimal. For reference to prove our observations, we have added three example transportation problems here in this work and compared their results with MODI method to show that the RDI method like the direct exponential approach (DEA) method is not optimal method; but it is just an initial basic feasible solution (IBFS) for transportation problems.


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