Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama

Authors

  • Nursanti Anggriani Fakultas Matematika dan Ilmu Pengetahuan Alam, Program Studi Matematika, Universitas Padjadjaran, Jl. Ir. Soekarno Jatinangor 45363
  • Eman Lesmana Fakultas Matematika dan Ilmu Pengetahuan Alam, Program Studi Matematika, Universitas Padjadjaran, Jl. Ir. Soekarno Jatinangor 45363
  • Asep Supriatna Fakultas Matematika dan Ilmu Pengetahuan Alam, Program Studi Matematika, Universitas Padjadjaran, Jl. Ir. Soekarno Jatinangor 45363
  • Hennie Husniah Fakultas Teknik, Program Studi Teknik Industri, Universitas Langlangbuana, Jl. Karapitan, Bandung 40261
  • Mochamad Yudha Fakultas Matematika dan Ilmu Pengetahuan Alam, Program Studi Matematika, Universitas Padjadjaran, Jl. Ir. Soekarno Jatinangor 45363

:

https://doi.org/10.9744/jti.17.1.17-26

Keywords:

Inventory control, dynamic systems, inventory products, limited production capacity, sales team initiatives, local stability analysis, optimal control, sensitivity analysis.

Abstract

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.

References

Rangkuti, A., 7 Model Riset Operasi & Aplikasinya (Cetakan ke-1), Surabaya: Brilian International, 2013.

Ghosh, S.K. and Chaudhuri, K.S., An Order Level Inventory Model for a Deteriorating Item with Two Levels of Storage Stock-Dependent Demand, Far East Journal of Applied Mathematics, 15, 2004, pp. 63–77.

Datta, T.K. and Pal, A.K., Deterministic Inventory Systems for Deteriorating Items with Inventory Level Dependent Demand Rate and Shortages, Opsearch, 27, 1990, pp. 213–224.

Baker, R.C. and Urban, T.L., Single-Period Inventory Dependent Demand Models, Omega, 16, 1988, pp. 605–615.

Sana, S.S., Sales Team’s Initiatives and Stock Sensitive Demand–A Production Control Policy. Economic Modelling, 31, 2013, pp. 783-788.

Sana, S.S., An EOQ Model of Homogeneous Products while Demand is Salesmen’s Initiatives and Stock Sensitive. Computers and Mathematics with Applications, 62, 2011, pp. 577-578.

Sana, S.S., An EOQ Model for Salesmen's Initiatives, Stock and Price Sensitive Demand of Similar Products-A Dynamical System. Applied Mathematics and Computation, 218, 2011, pp. 3277–3288.

Sana, S.S., The EOQ Model-A Dynamical System. Applied Mathematics and Computation 2(18), 2012, pp. 8736–8749.

Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, 1990.

Pontryagin, L.S., The Mathematical Theory of Optimal Processes. New York John Willey & Son, Inc. 1962.

Downloads

Published

2015-06-30

How to Cite

[1]
N. Anggriani, E. Lesmana, A. Supriatna, H. Husniah, and M. Yudha, “Analisis Dinamik pada Model Pengendalian Persediaan Dua Produk Berbeda dengan Kapasitas Produksi Terbatas Serta Inisiatif Tim Sales Bersama”, Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri, vol. 17, no. 1, pp. 17-26, Jun. 2015.

Issue

Section

Articles