Jurnal Sintak
Vol. 4 No. 2 (2026): MARET 2026

Forecasting the Consumption of Welding Consumables Using Markov Chain Models for Inventory Optimization at PT Buana Cipta Mandala

Palevi, Muhammad Reza Rafella (Unknown)
Hayati, Nahrul (Unknown)



Article Info

Publish Date
25 Mar 2026

Abstract

This study aims to analyze the monthly withdrawal patterns of welding consumables (welding cup, black lens, clear lens) and develop a forecasting model to support inventory policy optimization at PT Buana Cipta Mandala, Batam. Employing a quantitative case study approach with time series data from Januari to August 2025. Withdawal volume data was categorized into three states (low, medium, high). The Markov chain model was constructed by calculating transition frequency matrices, transition probability matrices, and steady-state probabilities for each item. Preliminary descriptive statistical analysis was conducted to understand data characteristics. The findings reveal distinct transition patterns. The welding cup exhibits a rapid cycle dynamic with a steady-state probability 0.286 for low, 0.286 for medium, and 0.428 for high state, indicating a long term dominance of the high state. Conversely, the welding lenses have a transition matrix where the low state acts as an absorbing state, with a steady-state probability 1 for low, and 0 for medium and high state, predicting a convergence of demand to a low level. The resulting model recommends differentiated inventory strategies. A moderate to high stock policy with sufficient safety stock for welding cups, and a lean inventory policy based on base demand for welding lenses. The application of this Markov chain model provides a quantitative foundation for more precise procurement decision making, reducing the risks of stockout and overstocking, thereby supporting supply chain efficiency and shipyard operations.

Copyrights © 2026






Journal Info

Abbrev

jurnalsintak

Publisher

Subject

Civil Engineering, Building, Construction & Architecture Control & Systems Engineering Decision Sciences, Operations Research & Management Mathematics

Description

Jurnal Sintak merupakan jurnal yang dikelola oleh Program Studi Matematika Institut Teknologi Batam (ITEBA). Jurnal Sintak menjadi sarana dalam menyebarkan pengetahuan terkait teori maupun aplikasinya di bidang matematika, statistika, dan aktuaria yang diterbitkan dua kali setahun (September dan ...