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Inventory models with imperfect quality items are studied by researchers in past two decades. Till now none of them have considered the effect of substitutions to cope up with shortage and avoid lost sales. This paper presents an EOQ…

Optimization and Control · Mathematics 2018-10-09 Arindum Mukhopadhyay , A. Goswami

In this paper, an attempt has been made to develop a simple leakage inventory model without shortages with instantaneous or finite production rate under fuzzy environment. In the present day scenario, it is difficult to decide the exact…

Optimization and Control · Mathematics 2022-02-21 Huidrom Malemnganbi , M. Kuber Singh

When imperfect quality products are produced in a production process, rework may be performed to make them become serviceable. In an inventory system, items may deteriorate. Selling deteriorated items to customers will create negative…

Optimization and Control · Mathematics 2012-09-11 Allen H. Tai

The most commonly developed inventory models are the classical economic order quantity model, is governed by the integer order differential equations. We want to come out from the traditional thought i.e. classical order inventory model…

Optimization and Control · Mathematics 2019-04-18 Rituparna Pakhira , Uttam Ghosh , Susmita Sarkar , Vishnu Narayan Mishra

The paper proposes a novel Economic Production Quantity (EPQ) inventory model within a reverse logistics framework, addressing new and repaired products with varying quality and demand patterns. The model integrates production and…

Optimization and Control · Mathematics 2025-09-25 M. M. Rizvi , I. B. Wadhawan

Supply chain management is an integrated approach for planning and controlling materials, information, and finances as they move in a process which begins from suppliers and ends with customers in forward approach. As distribution network…

Optimization and Control · Mathematics 2021-10-22 Mohammad Najjartabar Bisheh , Hamid Davoudpour , G. Reza nasiri

This article introduces an advanced analytical approach for predicting backorders in inventory management. Backorder refers to an order that cannot be immediately fulfilled due to stock depletion. Multiple classification techniques,…

Machine Learning · Computer Science 2023-12-25 Sarit Maitra , Sukanya Kundu

We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers arrives at each production system according to a Poisson process and is lost if the local…

Probability · Mathematics 2023-03-21 Sonja Otten

This technical note rectified the mathematical and conceptual errors present in Liao et al. (2014). Liao et al. (2014) proposed an EOQ model under two-levels trade credit policy considering limited storage capacity whereby the supplier…

Optimization and Control · Mathematics 2019-10-17 Sunil Tiwari , Masih Fadaki , Anuj Kumar Sharma

In this paper, we propose a continuous time model for a multi-echelon inventory system. Items in the inventory are deteriorating. Lateral transshipment are allowed among the warehouses in the same echelon where transshipment rate depends on…

Optimization and Control · Mathematics 2013-08-01 Allen H. Tai

Considering the close interaction between spare parts logistics and maintenance planning, this paper presents a model for joint optimization of multi-location spare parts supply chain and condition-based maintenance under predictive and…

Optimization and Control · Mathematics 2018-10-17 Morteza Soltani

We study the inventory placement problem of splitting $Q$ units of a single item across warehouses in advance of a downstream online matching problem that represents the dynamic fulfillment decisions of an e-commerce retailer. This is a…

Data Structures and Algorithms · Computer Science 2025-05-06 Boris Epstein , Will Ma

We consider inventory decisions with many items, each of which has Poisson demand. The rate of demand for individual items is estimated on the basis of observations of past demand. The problem is to determine the items to hold in stock and…

Methodology · Statistics 2025-08-06 Edward Anderson , Nam Ho-Nguyen , Peter Radchenko

Multi-echelon inventory optimization (MEIO) plays a key role in a supply chain seeking to achieve specified customer service levels with a minimum capital in inventory. In this work, we propose a generalized MEIO model based on the…

Optimization and Control · Mathematics 2023-06-21 Victoria G. Achkar , Braulio B. Brunaud , Hector D. Perez , Rami Musa , Carlos A. Mendez , Ignacio E. Grossmann

There is a great need to stock materials for production, but storing materials comes at a cost. Lack of organization in the inventory can result in a very high cost for the final product, in addition to generating other problems in the…

Modeling and optimization of multi-echelon supply chain systems is challenging as it requires a holistic approach that exploits synergies and interactions between echelons while accurately accounting for variability observed by these…

Optimization and Control · Mathematics 2019-01-03 Anshul Agarwal

High-tech systems are typically produced in two stages: 1) Production of components using specialized equipment and staff; 2) System assembly/integration. Component production capacity is subject to fluctuations, causing a high risk of…

Probability · Mathematics 2024-04-18 Mirjam S. Meijer , Dennis Schol , Willem van Jaarsveld , Maria Vlasiou , Bert Zwart

This study considers a continuous-review inventory model for a single item with two replenishment modes. Replenishments may occur continuously at any time with a higher unit cost, or at discrete times governed by Poisson arrivals with a…

Optimization and Control · Mathematics 2025-10-31 José Luis Pérez , Kazutoshi Yamazaki , Qingyuan Zhang

In this paper we address the problem of learning and backtesting inventory control policies in the presence of general arrival dynamics -- which we term as a quantity-over-time arrivals model (QOT). We also allow for order quantities to be…

Machine Learning · Computer Science 2024-01-23 Sohrab Andaz , Carson Eisenach , Dhruv Madeka , Kari Torkkola , Randy Jia , Dean Foster , Sham Kakade

Group-buying auction has become a popular marketing strategy in the last decade. In this paper, a stochastic model is developed for an inventory system subjects to demands from group-buying auctions. The model discussed here takes into the…

Optimization and Control · Mathematics 2012-12-17 Allen H. Tai
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