Linear Programming: A Practical Approach to Transportation Cost Problems

2009 ◽  
Author(s):  
Bernard Enya Edu ◽  
Atim E. Esang ◽  
Agba D. O. Otonkue
Keyword(s):  
Linear Programming ◽  
Transportation Cost ◽  
Practical Approach

scholarly journals Production optimization by using integer linear programming under a practical approach

2020 ◽  
pp. 1-7
Author(s):  
José Manuel Velarde-Cantú ◽  
Mauricio López-Acosta ◽  
Allán Chacara-Montes ◽  
Ernesto Ramírez-Cárdenas
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
Integer Linear Programming ◽  
Production Scheduling ◽  
Practical Problem ◽  
Production Optimization ◽  
Practical Approach ◽  
Product Mix ◽  
Model Based

This paper addresses the problem of production scheduling under a practical approach, which seeks to find out what would be the product mix to ensure the company to obtain the most useful, also requires that these combinations of products obtained from quickly and efficiently contributing thus to achieve lower costs associated with production. A specific mathematical model based on integer linear programming applied specifically to the product mix is presented, as well as the results obtained from the practical problem from the use of the model in integer linear programming, the use of the software and considering the own conditions of the problem addressed here.

scholarly journals Modeling of Mono-Commodity Multi-Location Linear Programming Techniques for Determining Optimum Transportation Network of a Manufacturing Industry

2021 ◽  
Vol 8 (12) ◽  
pp. 145-158
Author(s):  
ADEDEJI, Kasali Aderinmoye ◽  
ZOSU, Segbenu Joseph ◽  
DUDUYEMI Oladejo Samuel
Keyword(s):  
Linear Programming ◽  
Manufacturing Industry ◽  
Transportation Network ◽  
Transportation Cost ◽  
Optimal Transportation ◽  
Location Model ◽  
Transportation Model ◽  
Programming Techniques ◽  
Two Phases

This research on Modeling and Application of Mono-Commodity Multi-Location Linear Programming Techniques For Determining Optimum Transportation Network was carried out at a Manufacturing Industry in Lagos, which comprises of two plants, three depots and twenty retailers axis. The model was analyzed using Micro Soft Excel Software. The analysis to determine the optimal transportation network was carried out in two phases by considering numbers of truckload transported and each commodity from plants to depots and depots to retailers and their optimals. It was discovered that the existing practices transportation cost for truckloads moving from plant to retailers is N3,544,000,000,000 and when optimized, cost is N1,932,650,000,000 while considering each product the optimized transportation cost is N1,871,065,369,000. This implies that the transportation network generated considering each product will yield 47.2% gain in profit than existing network. Hence, it is recommended that mono-commodity multi-location transportation network be used. Keywords: [EXCEL Software, Mono-Commodity Multi-Location Model, Transportation Cost, Transportation Model, Transportation Network.].

scholarly journals EVALUASI DESENTRALISASI, SENTRALISASI, DAN ZONING PELAKSANAAN AUDIT TERHADAP EFISIENSI BIAYA PERJALANAN DINAS AUDIT KEPABEANAN DAN CUKAI

2020 ◽  
Vol 4 (1) ◽  
Author(s):  
Ario Seno Nugroho ◽  
Muhamad Fachrudin
Keyword(s):  
Linear Programming ◽  
Organizational Structure ◽  
Cost Efficiency ◽  
Transportation Problem ◽  
Quantitative Data ◽  
Organization Structure ◽  
Transportation Cost ◽  
Simulation Method ◽  
Microsoft Excel ◽  
Compliance Audit

ABSTRACT:Organization structure is an important factor in determining organization’s achievement of its objectives. The Directorate of Audit on Customs and Excise’ objective is to conduct compliance audit on entities practicing import, export and excise matters. The directorate has been implemented three types of organization structure: centralization, decentralization, and zoning, where each type by nature having its advantages and drawbacks. This study simulates quantitative data by using descriptive quantitative approach to determine the most ideal organizational structure of the directorate in terms of cost efficiency. The simulation method being used is linear program adjusted by several constrains in transportation cost. The simulation is conducted by using solver program provided in Ms Excel. The results show that decentralization is the most efficient organization type in terms of cost efficiency, followed by zoning, and centralization.Keywords: centralization, decentralization, zoning, linear programming, transportation problem. ABSTRAK:Bentuk organisasi dapat menentukan keberhasilan organisasi dalam memenuhi tujuan. Direktorat Audit Kepabeanan dan Cukai (Dit AKC), memiliki tujuan untuk melakukan audit kepada perusahaan yang melakukan impor, ekspor, dan cukai. Terdapat tiga bentuk organisasi yang telah digunakan oleh Dit AKC, yaitu: sentralisasi, desentralisasi, dan zoning. Setiap bentuk organisasi memiliki kelebihan dan kekurangan. Penelitian ini menggunakan pendekatan deskriptif kuantitatif dalam bentuk simulasi dan bertujuan mencari bentuk organisasi yang ideal untuk Dit AKC dari sisi efisiensi biaya. Metode simulasi yang digunakan adalah program linier, masalah transportasi. Penelitian ini menggunakan solver di Microsoft Excel. Hasil dari penelitian ini menunjukkan bentuk organisasi desentralisasi memberikan hasil paling efisien. Zoning dan sentralisasi memberikan hasil terbaik kedua dan ketiga.Kata Kunci: sentralisasi, desentralisasi, zoning, program linier, masalah transportasi 

scholarly journals Development and Application of Multi Commodity Multi Location Integrated Model for Manufacturing Industry

2022 ◽  
Vol 10 (5) ◽  
pp. 32-40
Author(s):  
Adedeji Kasali Aderinmoye ◽  
◽  
Segbenu Joseph Zosu ◽  
Duduyemi, Oladejo Samuel ◽  
Oyetunji Elkanah Olaosebikan ◽  
...  
Keyword(s):  
Linear Programming ◽  
Manufacturing Industry ◽  
Transportation Cost ◽  
Integrated Model ◽  
Distribution Model ◽  
Production Distribution ◽  
The Difference

This paper presented the development and application of Linear Programming to the modeling of Multi-Commodity Multi-Location production-distribution model for manufacturing industry. The Manufacturing industry has two plants, three depots and twenty retailer’s axis in Lagos. The products are based on how they are packaged; Product 1(P1), Product 2(P2), Product 3(P3) and Product 4(P4). TORA software is used in analyzing the data obtained from the company. Comparing the optimal Multi-Commodity Multi-Location transportation cost of One trillion, Five Hundred And Thirty Billion And Four Hundred And Ninety Million Naira to existing transportation cost of truckload Three Trillion, Five Hundred And Forty Four Billion Naira, the difference is Two Trillion, Thirteen Billion And Five Hundred And Ten Million Naira which is Four Hundred And Two Billion And Seven Hundred And Two Million Naira annually resulting to 56.82 percent gain in profit.

scholarly journals Comparative Study of Ranking Methods for Fuzzy Transportation

2019 ◽  
pp. 1592-1602
Author(s):  
Sami Kadhem kareem Al thabhawi
Keyword(s):  
Linear Programming ◽  
Comparative Study ◽  
Programming Model ◽  
Optimal Solution ◽  
Transportation Cost ◽  
Basic Solution ◽  
Ranking Methods ◽  
Fuzzy Variables ◽  
Accurate Comparison ◽  
Total Transportation Cost

There are several methods that are used to solve the traditional transportation problems whose units of supply, demand quantities, and cost transportation are known exactly. These methods obtain basic solution, and develop it to the best solution through a series of consecutive calculations to obtain the optimal solution.The steps are more complex with fuzzy variables, so this paper presents the disadvantages of solutions of the traditional ways with existence of variables in the fuzzy form.This paper also presents a comparison between the results that emerged after using different conversion ranking formulas to convert from fuzzy form to crisp form on the same numerical example with a full fuzzy form. The problem has been then converted into a linear programming model, and the BIG-M method to be later used to find the optimal solution that represents the number of units transferred from processing or supply centers to a number of demand centers based on the known cost of transportation.Achieving the goal of the problem is by finding the lowest total transportation cost,while the comparison is based on that value. The results are presented in acomprehensive table that organizes data and results in a way that facilitates quickand accurate comparison. An amendment to one of the order formats was suggested,because it has different results compared to other formulas. One of the rankingequations is modified, because it has different results compared to other methods..

scholarly journals Modeling and implementation of sequencing of tasks to Maximize the Processing in an organization

2014 ◽  
Vol 12 (2) ◽  
pp. 3286-3291
Author(s):  
A. Namir ◽  
Amina EL Kebbaj ◽  
R. Namir ◽  
S. Ezzbady
Keyword(s):  
Linear Programming ◽  
Organizational Structure ◽  
Integer Linear Programming ◽  
Waiting Time ◽  
Practical Approach ◽  
Level Of Service ◽  
In Series

The main objective of this work is to conceive a practical approach to improve customer’s satisfaction which is generally considered as the pillar of the development of customer fidelity for the company. It is necessary to have a platform which we master to manage to satisfy the customer by studying its needs, by having the capacity to be close and serving him for the shortest deadlines.The waiting time before being served is systematically badly noted by the customers and can cause their dissatisfactions. For that, it is necessary to find a way to decrease the dissatisfaction of the customer by improving the service.We propose in this work, a simple and practical approach for modeling and implementation of a sequencing of tasks to maximize the processing in an organization. This approach respects the constraints of the organization and eliminates any shape of wasting of time at the level of service. She can be personalized for any company, as long as an organizational structure including the actors is defined, the authorities as well as the skills required for every participant in the organization.The problem is mathematically modeled by an integer linear programming and in series solved numerically by respecting rules of priority at the level of the departments. At the end, practical examples to illustrate the work are given.

Optimal lower bounds for bivariate probabilities

1998 ◽  
Vol 30 (02) ◽  
pp. 476-492 ◽  
Author(s):  
Tuhao Chen
Keyword(s):  
Linear Programming ◽  
Lower Bounds ◽  
Practical Approach ◽  
Optimization Process ◽  
Practical Implementation ◽  
Probability Spaces

This paper deals with existence of bivariate Fréchet optimal lower bounds for two sets of events, and provides a practical approach to find this kind of bound. The main device used is linear programming ideas, coupled with construction of probability spaces. The highlight of this paper is that perturbation terms in the optimization process, even when a tie occurs, are not necessary in this practical implementation.

scholarly journals Optimization of sustainability, selling price, and minimum cost transportation in supply chain management of free-range meat chicken in Pasuruan Regency, Indonesia

Food Research ◽  
2020 ◽  
Vol 5 (1) ◽  
pp. 50-56
Author(s):  
N. Nuriyanto ◽  
I. Santoso ◽  
S. Soemarno ◽  
E.R. Lestari
Keyword(s):  
Neural Networks ◽  
Linear Programming ◽  
Artificial Neural Networks ◽  
Minimum Cost ◽  
Transportation Cost ◽  
Selling Price ◽  
Chain Management ◽  
Total Cost ◽  
Free Range ◽  
Cost Of Transportation

The purpose of the study was to analyze the sustainability of supply of free-range meat chicken in Pasuruan Regency, Indonesia and to obtain an optimization model of selling price and transportation costs of the free-range meat chicken. Artificial neural networks was used to analyse the sustainability of free-range meat chicken supply while linear programming was used to optimize the selling price. In addition, Vogel’s approximation was used to obtain the minimum total cost of transportation. The outcome of the analysis showed that the availability of free-range meat chicken in 2022 was estimated around 40, 016.67 tons with a selling price of IDR 28,100/kg. The minimum overall transportation cost was IDR 3,807,000/quintal.

Sign in / Sign up

Export Citation Format

Share Document