The grey linear programming approach and its application to multi-objective multi-stage solid transportation problem

Baidya, Abhijit; Bera, Uttam Kumar; Maiti, Manoranjan

doi:10.1007/s12597-015-0246-1

Cited by 11 publications

(5 citation statements)

References 28 publications

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“…Linear programming tidak hanya dapat diaplikasikan pada kombinasi produksi saja, tetapi juga dapat diaplikasikan dalam bidang lain yang ada di perusahaan. Penelitian lainya dari Nazari et al (2016) dan Baidya et al (2016) meneliti tentang cara pengalokasian software agar bekerja dengan optimal. Pengaplikasian model matematis linear programming memberikan manfaat terhadap perusahaan untuk alternative keputusan pengalokasian sumber daya yang dimiliki oleh pihak perusahaan agar mampu mencapai suatu tujuan baik itu memaksimalkan keuntungan atau meminimumkan biaya."…”

Section: Pendahuluanunclassified

Kombinasi Produksi Optimal Pada Produk Ud. Serayu Pejaten Tabanan

Buana

Purnawati

2021

EJMUNUD

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Production planning is series of activities to determine a production strategy to meet consumer demand. An optimal production resulting in maximum profit. The purpose of this study is to determine the optimal production combination at UD. Serayu in Pejaten Village, Kerambitan District, Tabanan Regency. This study uses linear programming analysis and analysis of calculating business net income. Based on the results of linear programming analysis using POMQM for Windows, the company's optimal production combination are 30,000 units, Terracotta Bricks 4,536 units, Pressed Roof Tile 24,600 units and Bubungan (roof) 20,400 units. The net profit generated for one month is Rp. 71,208,038.02 while the net profit generated by producing the optimal number of product combinations is Rp. 75,849,726.02. Linear programming analysis helps companies determine the optimal production combination for limited resources and analysis of net profit helps to compare operating profits before and after the optimal production combination. Keywords: production optimization, linear programming, maximum profit

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Section: Pendahuluanunclassified

Kombinasi Produksi Optimal Pada Produk Ud. Serayu Pejaten Tabanan

Buana

Purnawati

2021

EJMUNUD

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“…For this matter, a grey multi-objective linear programming model proposed containing four objectives. Baidya et al (2016) proposed two new multi-objective multi-stage solid transportation problems under grey uncertainty where unit transportation cost, time, purchasing costs, supplies, demands and conveyance capacities were considered as interval grey numbers. The goal programming approach and fuzzy goal programming approach were used to reduce a multi-objective programming problem into a single-objective programming problem.…”

Section: Application Of Grey Linear Programmingmentioning

confidence: 99%

Grey linear programming: a survey on solving approaches and applications

Darvishi

Liu

Forrest

2020

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PurposeThe purpose of this paper is to survey and express the advantages and disadvantages of the existing approaches for solving grey linear programming in decision-making problems.Design/methodology/approachAfter presenting the concepts of grey systems and grey numbers, this paper surveys existing approaches for solving grey linear programming problems and applications. Also, methods and approaches for solving grey linear programming are classified, and its advantages and disadvantages are expressed.FindingsThe progress of grey programming has been expressed from past to present. The main methods for solving the grey linear programming problem can be categorized as Best-Worst model, Confidence degree, Whitening parameters, Prediction model, Positioned solution, Genetic algorithm, Covered solution, Multi-objective, Simplex and dual theory methods. This survey investigates the developments of various solving grey programming methods and its applications.Originality/valueDifferent methods for solving grey linear programming problems are presented, where each of them has disadvantages and advantages in providing results of grey linear programming problems. This study attempted to review papers published during 35 years (1985–2020) about grey linear programming solving and applications. The review also helps clarify the important advantages, disadvantages and distinctions between different approaches and algorithms such as weakness of solving linear programming with grey numbers in constraints, inappropriate results with the lower bound is greater than upper bound, out of feasible region solutions and so on.

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“…Based on this notion, a modeling process is proposed to convert the original grey linear programming problem to a bi objective problem. Baidya et al [1] proposed two new multi-objective multi-stage solid transportation problems under grey uncertainty where unit transportation cost, time, purchasing costs, supplies, demands, conveyances capacities were considered as interval grey numbers. In a grey linear programming problem, variables or parameters or a combination of them are considered to be grey numbers.…”

Section: Grey Linear Programmingmentioning

confidence: 99%

A new Approach for Solving Linear Programming with Grey Variables Problem

Darvishi

2018

IJOR

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Linear programming problems with interval grey numbers have recently attracted some interest. In this paper, we study linear programs in which right hand sides are interval grey numbers. This model is relevant when uncertain and inaccurate factors make difficult the assignment of a single value to each right hand side. Some methods have been developed for solving these problems. In this paper, we propose a new approach for solving interval grey number linear programming problems is introduced without converting them to classical linear programming problems. Numerical example is provided to illustrate the proposed approach.

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The grey linear programming approach and its application to multi-objective multi-stage solid transportation problem

Cited by 11 publications

References 28 publications

Kombinasi Produksi Optimal Pada Produk Ud. Serayu Pejaten Tabanan

Kombinasi Produksi Optimal Pada Produk Ud. Serayu Pejaten Tabanan

Grey linear programming: a survey on solving approaches and applications

A new Approach for Solving Linear Programming with Grey Variables Problem

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