Tone LerherJakob MaroltFabio SgarbossaBanu Yetkin Yetkin EkrenGoran DukicMarolt, JakobSgarbossa, FabioDukic, GoranLerher, ToneEkren, Banu Y.2025-10-0620249783031502736, 97830315027299783031502736978303150272910.1007/978-3-031-50273-6_132-s2.0-105004481934https://www.scopus.com/inward/record.uri?eid=2-s2.0-105004481934&doi=10.1007%2F978-3-031-50273-6_13&partnerID=40&md5=1760fd52aa49a244eafe6e1176b3aef9https://gcris.yasar.edu.tr/handle/123456789/8362https://doi.org/10.1007/978-3-031-50273-6_13With the rapid growth of e-commerce practices the efficient management of warehouses and fulfilment centres has become crucial in supply chain operations. One effective strategy for achieving this efficiency is the digital transformation of warehouses through automation. In particular shuttle-based storage and retrieval systems (SBS/RS) have gained significant attention due to their ultra-high transaction process capability. However ongoing research focuses on enhancing the operating performance and cost efficiency of these SBS/RS designs. This chapter presents mathematical modelling approaches for estimating the performance of single- and multi-deep SBS/RS designs. These models provide valuable insights for designing warehouses that optimize transaction process rates while ensuring a balanced utilization of elevators and shuttles in the system tailored to meet the specific requirements of the warehouse. By leveraging these modelling techniques warehouse managers can make informed decisions regarding the design and configuration of SBS/RSs to improve overall operational efficiency and productivity. © 2025 Elsevier B.V. All rights reserved.Englishinfo:eu-repo/semantics/closedAccessAnalytical And Numerical Modeling, Automated Warehouses, Performance Analysis, Sbs/rs, Single- And Multi-deep Systems, Analytical And Numerical Models, Automated Warehouse, Design And Operations, Performances Analysis, Retrieval Systems, Shuttle-based Storage And Retrieval System, Single-deep And Multi-deep System, Storage And Retrievals, Storage Systems, Transaction Process, Supply Chain ManagementAnalytical and numerical models, Automated warehouse, Design and operations, Performances analysis, Retrieval systems, Shuttle-based storage and retrieval system, Single-deep and multi-deep system, Storage and retrievals, Storage systems, Transaction process, Supply chain managementAnalytical and Numerical ModelingSingle- and Multi-Deep SystemsSBS/RSAutomated WarehousesPerformance AnalysisBook Part