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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Cornelia Yosefine Halim
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Brawijaya, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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SOME PROPERTIES OF N-INTEGRAL ON SET-VALUED FUNCTIONS Corina Karim; Cornelia Yosefine Halim
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 3 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss3pp2075-2084

Abstract

The Upper and Lower N-integrals were introduced in 2019 based on the concept of δ-fine partitions, which also underlies the Henstock–Kurzweil integral. While the integration of set-valued functions was initially developed through measure-theoretic approaches, later studies extended the Henstock–Kurzweil integral to the set-valued setting and compared it with measure-based integrals. In this paper, we study the N-integral for set-valued functions within this framework. We prove that the N-integral satisfies fundamental properties such as boundedness and linearity, and we establish conditions under which it coincides with the Henstock–Kurzweil integral. Our results extend and complement several earlier results on the integration of set-valued functions and Henstock–Kurzweil-type integrals.
AN INTEGRATIVE MODEL FOR DRUG INVENTORY OPTIMIZATION IN PHARMACIES USING WMA AND EOQ CONTINUOUS Kwardiniya Andawaningtyas; Raqqasyi Rahmatullah Musafir; Nandia Primasari; Rina Adhista; Trya Rizky Adellia; Cornelia Yosefine Halim; Evi Ardiyani
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 3 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss3pp2163-2178

Abstract

Efficient drug inventory control is essential for pharmacies to maintain service quality, prevent stockouts, and reduce financial losses caused by excessive inventory. This study develops an integrative inventory optimization model combining ABC analysis, Weighted Moving Average (WMA) forecasting, and the Economic Order Quantity (EOQ) Continuous Review approach. ABC analysis identifies high-priority drugs requiring strict control, WMA forecasts demand for Category A items, and the EOQ model determines optimal order quantity, safety stock, and reorder point. Results show that the integration of forecasting and continuous review improves accuracy in estimating demand fluctuations and reduces total inventory costs compared with existing ordering practices. The originality of this work lies in formalizing the integration of WMA forecasting into EOQ Continuous Review, specifically for pharmaceutical inventory systems. Study limitations include the use of a single-pharmacy dataset, fixed lead-time assumptions, and reliance on only one forecasting method. This integrated approach provides a novel and more responsive solution for pharmaceutical inventory management, as the use of WMA enhances forecast accuracy by emphasizing recent demand shifts, while the EOQ Continuous Review model ensures optimal ordering decisions in real time. Together, these methods create a more adaptive framework that reduces uncertainty, improves stock availability, and minimizes overall inventory costs.
Co-Authors Corina Karim Evi Ardiyani Kwardiniya Andawaningtyas Nandia Primasari Raqqasyi Rahmatullah Musafir Rina Adhista Trya Rizky Adellia