scholarly journals An Integrated Fuzzy Goal Programming—Theory of Constraints Model for Production Planning and Optimization

2021 ◽  
Vol 13 (22) ◽  
pp. 12728
Author(s):  
Habib Zare ◽  
Mahyar Kamali Saraji ◽  
Madjid Tavana ◽  
Dalia Streimikiene ◽  
Fausto Cavallaro
Keyword(s):  
Production Planning ◽  
Goal Programming ◽  
Resource Constraints ◽  
Detection Algorithm ◽  
Fuzzy Goal Programming ◽  
Theory Of Constraints ◽  
Manufacturing Companies ◽  
Cable Industry ◽  
Fuzzy Goal ◽  
Constraints Model

Manufacturing companies are under constant pressure to optimize the economic sustainability of their production systems. Production planning and optimization is a well-established strategy for considering resource constraints and improving economic productivity. This study proposes an integrated fuzzy goal planning and the theory of constraints for production planning and optimization. To this end, a hybrid Delphi–Buckley method was used to identify the relevant goals and a paired matrix questionnaire was used to determine the fuzzy weights of the goals. Furthermore, a fuzzy bottleneck detection algorithm was used to deal with the bottlenecks. A case study in the cable industry is presented to demonstrate the applicability and exhibit the efficiency of the proposed model. The results indicate that production planning in the cable industry could experience less deviation, almost 11% less, from the goals by applying the fuzzy goal programming under the theory of constraints, compared to the traditional method or crisp-goal programming.

On Development of a Fuzzy Stochastic Programming Model with Its Application to Business Management

2017 ◽  
pp. 353-378
Author(s):  
Animesh Biswas ◽  
Arnab Kumar De
Keyword(s):  
Production Planning ◽  
Goal Programming ◽  
Fuzzy Numbers ◽  
Programming Model ◽  
Random Variables ◽  
Fuzzy Goal Programming ◽  
Fuzzy Random Variables ◽  
Fuzzy Goal ◽  
Constrained Programming ◽  
Fuzzy Random

This chapter expresses efficiency of fuzzy goal programming for multiobjective aggregate production planning in fuzzy stochastic environment. The parameters of the objectives are taken as normally distributed fuzzy random variables and the chance constraints involve joint Cauchy distributed fuzzy random variables. In model formulation process the fuzzy chance constrained programming model is converted into its equivalent fuzzy programming using probabilistic technique, a-cut of fuzzy numbers and taking expectation of parameters of the objectives. Defuzzification technique of fuzzy numbers is used to find multiobjective linear programming model. Membership function of each objective is constructed depending on their optimal values. Afterwards a weighted fuzzy goal programming model is developed to achieve the highest degree of each of the membership goals to the extent possible by minimizing group regrets in a multiobjective decision making context. To explore the potentiality of the proposed approach, production planning of a health drinks manufacturing company has been considered.

scholarly journals Model Fuzzy Goal Programming Yang Diselesaikan Dengan Linear Programming Pada Perencanaan Produksi

d'CARTESIAN ◽  
2013 ◽  
Vol 2 (2) ◽  
pp. 26
Author(s):  
Altien Rindengan ◽  
Prapto Tri Supriyo ◽  
Aziz Kustiyo
Keyword(s):  
Linear Programming ◽  
Production Planning ◽  
Goal Programming ◽  
Fuzzy Goal Programming ◽  
Raw Material ◽  
Fuzzy Membership ◽  
Fuzzy Membership Function ◽  
Labor Costs ◽  
Fuzzy Goal ◽  
Abstract Optimization

Abstract Optimization of an objective in the model of linear programming (LP) is widely applied in solving the problems that exist. But with the increasing complexity of these problems, optimization with multiple objectives , known as goal programming (GP) being an option. In this GP, some of these goals were weighted before analysis . In this paper will discuss the formulation of fuzzy goal prongramming (FGP), in which these goals need not be discrete weighted, but enough to consider the decision maker wishes to impose limits on the value of each function's purpose. Fuzzy concept of a fuzzy membership function is applied to functions such objectives to be achieved. The problems in this case is production planning at the company with some goals to be achieved namely income, labor costs, and raw material costs. The result is a model with some objectives can be formulated in FGP models that can be solved with the LP for  production planning of the company. Keywords : fuzzy goal programming, linear programming, production planning ABSTRAK Optimalisasi suatu tujuan dalam model linear programming (LP) banyak diaplikasikan dalam menyelesaikan masalah-masalah yang ada.  Tapi dengan makin kompleksnya masalah-masalah tersebut, pengoptimalan dengan beberapa tujuan atau dikenal dengan goal programming (GP) menjadi pilihan. Dalam GP ini, beberapa tujuan ini diberi pembobotan sebelum dianalisa.  Dalam tulisan ini akan dibahas tentang formulasi fuzzy goal prongramming (FGP), dimana tujuan-tujuan tersebut tidak perlu diboboti secara diskret, tapi cukup dengan mempertimbangkan keinginan pengambil keputusan untuk menentukan batasan nilai pada setiap fungsi tujuan yang ada.  Konsep fuzzy berupa fungsi keanggotaan fuzzy diterapkan pada fungsi-fungsi tujuan yang akan dicapai tersebut.  Masalah  yang digunakan adalah perencanaan produksi pada suatu perusahaan dengan beberapa tujuan yang ingin dicapai yaitu pendapatan, biaya tenaga kerja, dan biaya bahan baku.  Hasil yang diperoleh adalah model beberapa tujuan dapat diformulasi dalam model FGP yang dapat diselesaikan dengan LP untuk perencanaan produksi suatu perusahaan. Kata kunci :  fuzzy goal programming,  linear programming,  perencanaan produksi

scholarly journals The fuzzy goal programming approach to production planning of intermediate gear spare parts: a case study

2020 ◽  
Vol 4 (2) ◽  
pp. 137-143
Author(s):  
Aulia Ishak ◽  
Poltak Nababan
Keyword(s):  
Production Planning ◽  
Goal Programming ◽  
Business Processes ◽  
Production Capacity ◽  
Optimal Solution ◽  
Spare Parts ◽  
Fuzzy Goal Programming ◽  
Planning System ◽  
Programming Approach ◽  
Fuzzy Goal

Production planning has an important role in the company's business processes. A company engaged in the manufacture of intermediate gear parts has a problem in optimizing its production system. The production planning system that occurs is still based on predictions from decision-makers. This study aims to optimize the production planning system to maximize the 15T intermediate gear spare parts' production capacity and the 30T intermediate gear spare parts. Optimization of production planning uses the fuzzy goal programming method to optimize objectives based on existing constraints such as working hours, profit tolerance values, and demand tolerance values. The results showed that the use of fuzzy goal programming was able to increase the production level by 2.765, with an increase in profit of 2.57%. Fuzzy goal programming implementation provides an optimal solution in increasing profits in accordance with company goals based on the constraints that occur.

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