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All Journal Journal of Mathematics Instruction, Social Research and Opinion Limits: Journal of Mathematics and Its Applications
Valeriana Lukitosari
Institut Teknologi Sepuluh Nopember
Humanities Computer Science & IT Education Languange, Linguistic, Communication & Media Mathematics Social Sciences

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PENENTUAN KUANTITAS OPTIMAL DAN REORDER POINT PADA PERSEDIAAN SUKU CADANG DENGAN DISTRIBUSI GAMMA Valeriana Lukitosari
Limits: Journal of Mathematics and Its Applications Vol. 9 No. 1 (2012): Limits: Journal of Mathematics and Its Applications Volume 9 Nomor 1 Edisi Nove
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Adanya pola demand dan lead time yang bervariasi mengakibatkan pentingnya pengelolaan suku cadang secara tepat. Penentuan kuantitas dan reorder point yang tepat sangat berpengaruh terhadap besarnya biaya persediaan suku cadang. Model biaya persediaan dikembangkan dengan mempertimbangkan ketidakpastian demand. Pada penelitian ini, demand dipengaruhi adanya kerusakan pada peralatan. Model awal biaya persediaan didekati dengan distribusi gamma. Hasil pengembangan model dengan distribusi gamma menunjukkan bahwa reorder point persediaan suku cadang dipengaruhi nilai safety stock persediaan. Nilai safety stock bergantung pada ekspektasi permintaan selama lead time, sebesar parameter dan . Penelitian ini juga menunjukkan bahwa model persediaan berdistribusi gamma dapat digunakan untuk mencari kuantitas optimal melalui biaya ekspektasi kekurangan persediaan.
Improving The Order Pickup Process in Warehouses by Instant Couriers Through Zone-Based Assignment Danti Ardianti Soesanto; Valeriana Lukitosari
Journal of Mathematics Instruction, Social Research and Opinion Vol. 5 No. 2 (2026): June
Publisher : MASI Mandiri Edukasi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58421/misro.v5i2.1032

Abstract

The expansion of e-commerce has intensified operational pressures on warehouse logistics, particularly for instant-delivery services, where speed and accuracy are critical. At Warehouse A of Marketplace ABC, the order pickup process experienced inefficiencies due to alphabetical sorting and courier assignments that were not aligned with the physical order placement, resulting in longer pickup times and frequent errors. This study aims to optimize the instant courier pickup process by redesigning order sorting and courier assignment through zone picking based on delivery location similarity. An applied quantitative case study was conducted using 61,577 historical instant delivery orders from July 2025. Delivery locations were clustered using K-means, and the optimal number of zones was determined using the Elbow method. The analysis yielded five optimal picking zones, which were subsequently implemented in the warehouse pickup workflow. The redesigned process significantly improved operational performance, reducing the average pickup time from 6.7 minutes to 1.7 minutes and achieving 100% pickup accuracy. These findings confirm that integrating zone picking with clustering-based zoning effectively enhances efficiency and accuracy in instant courier warehouse operations.
Co-Authors Danti Ardianti Soesanto