Sensitivity of Parameters in the Approach of Linear Programming to a Transportation Problem

Tolulope Latunde,Joseph Oluwaseun Richard,Damilola Deborah Dare,Opeyemi Odunayo Esan

doi:10.46481/jnsps.2019.14

Tolulope Latunde, Joseph Oluwaseun Richard + Show 2 more

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https://doi.org/10.46481/jnsps.2019.14

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Abstract

Linear programming has served as a great tool in dealing with transportation problems to make a positive difference in economic and social activity. In this work, data of the National Union Of Road Transport Workers (NURTW) is analysed to minimizing the cost of maintenance and repair of buses taking the route from Sango park to different routes. Data collected from the park are represented using tables and solved using the Maple computer software application. The transportation problem is solved such that the transportation cost is minimized which leads to the profit being maximized. This is achieved by estimating the values of some identified parameters in the problem. This work will be beneficial to every other motor parks controllers to decide on some decision making that may bring to the union profit. This work will help the NURTW in Sango to spend less on the vehicles and save more as income.

Highlights

One major problem encountered by companies or organizations is the transportation problem
Since the transportation problem is to find a way of minimizing cost or to maximize profit, the goal of every transportation is to meet the request of the destination
The transportation problem can be defined mathematically as; suppose Xi j ≥ 0 is the number of passengers traveling from ith origin to the jth destination the model of the problem given the cost of transportation c will be, mn Minimize Z =

Summary

Introduction

One major problem encountered by companies or organizations is the transportation problem. Since the transportation problem is to find a way of minimizing cost (or time spent) or to maximize profit, the goal of every transportation is to meet the request of the destination. The transportation problem can be defined mathematically as; suppose Xi j ≥ 0 is the number of passengers traveling from ith origin to the jth destination the model of the problem given the cost of transportation c will be, mn Minimize Z =. N j=1 bj, this means that the number of passengers available is equal to the number of available spaces in the vehicles to transport them. If not, it will be considered unbalanced transportation in this work

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Conclusion