scholarly journals PEMILIHAN PEMASOK DAN PENENTUAN KUANTITAS PESAN PAKAN TERNAK MENGGUNAKAN MULTI OBJECTIVE LINEAR PROGRAMMING

2018 ◽  
Vol 13 (3) ◽  
pp. 163
Author(s):  
Sintya Ratnasari ◽  
Stephani Diesya ◽  
Yogie Budi P. ◽  
Yuniaristanto Yuniaristanto ◽  
Wahyudi Sutopo
Keyword(s):  
Linear Programming ◽  
Enterprise Resource Planning ◽  
Rating Scale ◽  
Programming Model ◽  
Resource Planning ◽  
Analytic Network Process ◽  
Multi Objective ◽  
Defect Rate ◽  
Network Process ◽  
Excel Solver

Artikel ini merupakan pengembangan dari artikel Musyafak, dkk (2012) yang membahas mengenai penilaian kinerja supplier pakan ternak menggunakan Analytic Network Process(ANP) dan Rating Scale (Studi kasus PT. DMC, Malang, Jawa Timur). PT. DMC merupakan perusahaan yang bergerak dalam bidang peternakan yang memerlukan pakan ternak dari pihak ketiga. Dalam artikelnya, Musyaffak, dkk sudah melakukan penilaian kinerja dari masing-masing pemasok tetapi belum menggunakan penilaian tersebut sebagai bahan pertimbangan untuk menentukan jumlah pesanan pakan ternak yang optimal.  Saat ini terdapat tiga pemasok yang bekerja sama dengan perusahaan sehingga pemilihan pemasok merupakan hal yang penting bagi departemen pembelian. Enterprise Resource Planning(ERP) sistem dalam proses pemilihan pemasok dapat menghasilkan penyimpanan biaya dan waktu. Artikel ini bertujuan untuk penentuan pemasok dan jumlah pakan ternak yang harus dipesan pada setiap pemasok dengan menggunakan Multi Objective Linear Programming. Model tersebut dikembangkan berdasarkan tiga kunci utama ERP. Fungsi Tujuan dari model untuk meminimasi biaya, defect rate, delivery delay rate dan supplier rate. Model dipecahkan dengan bantuan Microsoft Excel Solver Software. Hasil menunjukan, pesanan untuk ketiga pemasok adalah 100, 100 dan 32 tons.

scholarly journals Deriving Fuzzy Weights of the Fuzzy Analytic Network Process via Fuzzy Inverse Matrix

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 914 ◽  
Author(s):  
Chen ◽  
Huang
Keyword(s):  
Programming Model ◽  
Fuzzy Ahp ◽  
Analytic Network Process ◽  
Previous Method ◽  
Inverse Matrix ◽  
Decision Makers ◽  
Fuzzy Environment ◽  
Network Process ◽  
Analytic Hierarchical Process ◽  
Fuzzy Weights

The analytic hierarchical process/network process (AHP/ANP) is a popular multi-criteria decision making approach for determining the optimal alternative or weights of criteria. Many papers have extended the AHP/ANP to consider the fuzzy environment to reflect the subjective uncertainty of decision-makers. However, the fuzzy ANP (FANP) is not as popular as the fuzzy AHP (FAHP), because the calculation of the fuzzy supermatrix results in the divergence of the steady-state. In this paper, we provide a novel mathematical programming model to calculate the limiting distribution of the fuzzy supermatrix by considering a fuzzy inverse matrix rather than directly calculate the fuzzy supermatrix by limiting powers. In addition, we use a numerical example to illustrate the proposed method and compare the results with the previous method. The numerical results indicate the proposed method has the least spread of the fuzzy weights, thus justifying the usefulness of the proposed method.

scholarly journals A fuzzy multi-objective linear programming with interval-typed triangular fuzzy numbers

2019 ◽  
Vol 17 (1) ◽  
pp. 607-626 ◽  
Author(s):  
Chunquan Li
Keyword(s):  
Linear Programming ◽  
Fuzzy Numbers ◽  
Programming Model ◽  
Optimal Solution ◽  
Objective Functions ◽  
Triangular Fuzzy Numbers ◽  
Matlab Toolbox ◽  
Multi Objective ◽  
Cut Set ◽  
The Stability

Abstract A multi-objective linear programming problem (ITF-MOLP) is presented in this paper, in which coefficients of both the objective functions and constraints are interval-typed triangular fuzzy numbers. An algorithm of the ITF-MOLP is provided by introducing the cut set of interval-typed triangular fuzzy numbers and the dominance possibility criterion. In particular, for a given level, the ITF-MOLP is converted to the maximization of the sum of membership degrees of each objective in ITF-MOLP, whose membership degrees are established based on the deviation from optimal solutions of individual objectives, and the constraints are transformed to normal inequalities by utilizing the dominance possibility criterion when compared with two interval-typed triangular fuzzy numbers. Then the equivalent linear programming model is obtained which could be solved by Matlab toolbox. Finally several examples are provided to illuminate the proposed method by comparing with the existing methods and sensitive analysis demonstrates the stability of the optimal solution.

Evaluation of Urban Regeneration Project Plans with an Integrated Model Based on Analytic Network Process

2012 ◽  
Vol 253-255 ◽  
pp. 102-105
Author(s):  
Yu Juan Liao ◽  
Kun Hui Ye ◽  
Hong Yuan Fu ◽  
Lin Ma
Keyword(s):  
Linear Programming ◽  
Urban Regeneration ◽  
Analytic Network Process ◽  
Integrated Model ◽  
Non Linear Programming ◽  
Comparison Stage ◽  
Model Based ◽  
Non Linear ◽  
Network Process ◽  
Pair Wise Comparison

An integrated model based on ANP method which contains three major criteria, thirteen sub-criteria and thirty six factors was developed to evaluate urban regeneration project plans. To improve the traditional ANP method, a non-linear Programming equation which can be solved by the PS method was used to measure the inconsistency as well as to calculate the priorities in the pair-wise comparison stage of ANP. In addition, a DEMATEL method was employed to analyze the interdependencies of criteria/factors comprehensively. Five alternative plans of an urban regeneration project were adopted to test the effectiveness of the developed model. It was found the integrated model was feasible and effective to solve the problem of evaluation of the urban regeneration project plans.

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