Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama
In this paper we discuss a mathematical model of inventory control policy based on local stability analysis using a system dynamics approach. It is assumed that the production capacity and the maximum production capacity has an upper limit but with sufficient availability of raw materials so that th...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Petra Christian University
2015-06-01
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| Series: | Jurnal Teknik Industri |
| Subjects: | |
| Online Access: | http://puslit2.petra.ac.id/ejournal/index.php/ind/article/view/19268 |
| _version_ | 1797984383659933696 |
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| author | Nursanti Anggriani Eman Lesmana Asep Supriatna Hennie Husniah Mochamad Yudha |
| author_facet | Nursanti Anggriani Eman Lesmana Asep Supriatna Hennie Husniah Mochamad Yudha |
| author_sort | Nursanti Anggriani |
| collection | DOAJ |
| description | In this paper we discuss a mathematical model of inventory control policy based on local stability analysis using a system dynamics approach. It is assumed that the production capacity and the maximum production capacity has an upper limit but with sufficient availability of raw materials so that the production occurs continuously without stock out. The model is intended to meet the market equilibrium by determining the optimal number of agents in a team of salesman, the level of inventory, and the level of production capacity, so that thenet income is maximized. We use the Pontryagin Maximum Principle to find the optimal control of the system. Finally some numerical simulations are performed to give a sensitivity analysis of the inventory control policy to the parameters involved in the system. |
| first_indexed | 2024-04-11T07:01:56Z |
| format | Article |
| id | doaj.art-136312415e764fe5a2b51c2e8304110f |
| institution | Directory Open Access Journal |
| issn | 1411-2485 2087-7439 |
| language | English |
| last_indexed | 2024-04-11T07:01:56Z |
| publishDate | 2015-06-01 |
| publisher | Petra Christian University |
| record_format | Article |
| series | Jurnal Teknik Industri |
| spelling | doaj.art-136312415e764fe5a2b51c2e8304110f2022-12-22T04:38:39ZengPetra Christian UniversityJurnal Teknik Industri1411-24852087-74392015-06-011711726Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales BersamaNursanti Anggriani0Eman Lesmana1Asep Supriatna2Hennie Husniah3Mochamad Yudha4 Fakultas Matematika dan Ilmu Pengetahuan Alam, Program Studi Matematika, Universitas Padjadjaran, Jl. Ir. Soekarno Jatinangor 45363 Fakultas Matematika dan Ilmu Pengetahuan Alam, Program Studi Matematika, Universitas Padjadjaran, Jl. Ir. Soekarno Jatinangor 45363 Fakultas Matematika dan Ilmu Pengetahuan Alam, Program Studi Matematika, Universitas Padjadjaran, Jl. Ir. Soekarno Jatinangor 45363 Fakultas Teknik, Program Studi Teknik Industri, Universitas Langlangbuana, Jl. Karapitan, Bandung 40261 Fakultas Matematika dan Ilmu Pengetahuan Alam, Program Studi Matematika, Universitas Padjadjaran, Jl. Ir. Soekarno Jatinangor 45363 In this paper we discuss a mathematical model of inventory control policy based on local stability analysis using a system dynamics approach. It is assumed that the production capacity and the maximum production capacity has an upper limit but with sufficient availability of raw materials so that the production occurs continuously without stock out. The model is intended to meet the market equilibrium by determining the optimal number of agents in a team of salesman, the level of inventory, and the level of production capacity, so that thenet income is maximized. We use the Pontryagin Maximum Principle to find the optimal control of the system. Finally some numerical simulations are performed to give a sensitivity analysis of the inventory control policy to the parameters involved in the system.http://puslit2.petra.ac.id/ejournal/index.php/ind/article/view/19268Inventory controldynamic systemsinventory productslimited production capacitysales team initiativeslocal stability analysisoptimal controlsensitivity analysis. |
| spellingShingle | Nursanti Anggriani Eman Lesmana Asep Supriatna Hennie Husniah Mochamad Yudha Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama Jurnal Teknik Industri Inventory control dynamic systems inventory products limited production capacity sales team initiatives local stability analysis optimal control sensitivity analysis. |
| title | Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama |
| title_full | Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama |
| title_fullStr | Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama |
| title_full_unstemmed | Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama |
| title_short | Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama |
| title_sort | analisis dinamik pada model pengendalian persediaan dua produk berbeda dengan kapasitas produksi terbatas serta inisiatif tim sales bersama |
| topic | Inventory control dynamic systems inventory products limited production capacity sales team initiatives local stability analysis optimal control sensitivity analysis. |
| url | http://puslit2.petra.ac.id/ejournal/index.php/ind/article/view/19268 |
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