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We give new approximation algorithms for the submodular joint replenishment problem and the inventory routing problem, using an iterative rounding approach. In both problems, we are given a set of $N$ items and a discrete time horizon of…

Data Structures and Algorithms · Computer Science 2019-12-03 Thomas Bosman , Neil Olver

We consider a manufacturer who manages the end-of-life phase and takes one of the three actions at each period: (1) place an order, (2) use existing inventory, (3) stop holding inventory and use an outside/alternative source. Two examples…

Optimization and Control · Mathematics 2021-10-26 Emin Ozyoruk , Nesim K. Erkip , Çağın Ararat

In this article, we consider a continuous review (s, S) inventory system with failures of demand fulfillment (service) modeled as a Markov-modulated retrial queueing system. The inventory system features a single product that experiences…

Probability · Mathematics 2023-07-18 James Cordeiro , Ying-Ju Chen , Andres Larrain-Hubach , Mark Abramson

Standard procurement models assume that the buyer knows the quality of the good at the time of procurement; however, in many settings, the quality is learned only long after the transaction. We study procurement problems in which the…

Theoretical Economics · Economics 2026-04-03 Kun Zhang

We study the inbound supply mode and inventory management decision making for a company that sells an assortment of products. Stochastic demand for each product arrives periodically and unmet demand is backlogged. Each product has two…

Optimization and Control · Mathematics 2023-08-08 Melvin Drent , Poulad Moradi , Joachim Arts

We present novel mathematical models for inventory management within a reverse logistics system. Technological advancements, sustainability initiatives, and evolving customer behaviours have significantly increased the demand for repaired…

Optimization and Control · Mathematics 2024-06-21 I. B. Wadhawan , M. M. Rizvi

We consider the problem of estimating the rate of defects (mean number of defects per item), given the counts of defects detected by two independent imperfect inspectors on one sample of items. In contrast with the setting for the…

Methodology · Statistics 2019-04-23 Tamar Gadrich , Guy Katriel

The assortment planning problem is a central piece in the revenue management strategy of any company in the retail industry. In this paper, we study a robust assortment optimization problem for substitutable products under a sequential…

Optimization and Control · Mathematics 2020-09-01 Saharnaz Mehrani , Jorge A. Sefair

This paper proposes a mathematical model for the design of a two-echelon supply chain where a set of suppliers serve a set of terminal facilities that receive uncertain customer demands. This model integrates a number of system decisions in…

Optimization and Control · Mathematics 2015-11-26 Jianxun Cui , Meng Zhao , Xiaopeng Li , Mohsen Parsafard , Shi An

We study the problem of determining how much finished goods inventory to source from different capacitated facilities in order to maximize profits resulting from sales of such inventory. We consider a problem wherein there is uncertainty in…

Optimization and Control · Mathematics 2025-07-01 Mike Hewitt , Giovanni Pantuso

In the era of industry 4.0, procurement in supply chain management is the key to developing information management systems. It directly affects production planning failure. In this case, it is the process to prepare and confirming the…

Systems and Control · Electrical Eng. & Systems 2022-06-07 Issarapong Khuankrue , Sudchai Boonto , Yasuhiro Tsujimura

Purpose: The model allocates the system components orders to the suppliers to minimize the parts price and the system construction delay penalties and maximize the system availability during its use. It considers the quantity-based discount…

Optimization and Control · Mathematics 2026-01-21 Zahra Sobhani , Mahmoud Shahrokhi

Newsvendor problem is an extensively researched topic in inventory management. In this class of inventory problems, shortage and excess costs are considered to be proportional to the quantity lost. But, for critical goods or commodities,…

Applications · Statistics 2020-07-09 Soham Ghosh , Mamta Sahare , Sujay Mukhoti

In this paper, we formulate an optimal ordering policy as a stochastic control problem where each firm decides the amount of input goods to order from their upstream suppliers based on the current inventory level of its output good. For…

Optimization and Control · Mathematics 2022-09-13 Jose I. Caiza , Ian Walter , Jitesh H. Panchal , Junjie Qin , Philip E. Pare

In this study, we analyze and compare the performance of state-of-the-art deep reinforcement learning algorithms for solving the supply chain inventory management problem. This complex sequential decision-making problem consists of…

Machine Learning · Computer Science 2025-01-07 Francesco Stranieri , Fabio Stella

Queueing-inventory systems are integrated systems consisting of two emerging fields in applied probability, namely "Queues" and "Inventory". In this paper, we present a comprehensive review of the theory and applications of…

Probability · Mathematics 2023-09-20 Salini K , Arya P S , Manikandan Rangaswamy

This paper investigates a multi-product stochastic inventory problem in which a cash-constrained online retailer can adopt order-based loan provided by some Chinese e-commerce platforms to speed up its cash recovery for deferred revenue. We…

Optimization and Control · Mathematics 2020-12-10 Zhen Chen , Ren-qian Zhang

Inventory decision frameworks proposed in the literature for single-echelon supply chain systems rely on assumptions to obtain closed form expressions. In particular, two such frameworks - one conventional and the other with a demand…

Optimization and Control · Mathematics 2018-06-21 Anshul Agarwal

VQ (Vendor Qualification) and IOQ (Installation and Operation Qualification) audits are implemented in warehouses to ensure all equipment being turned over in the fulfillment network meets the quality standards. Audit checks are likely to…

Machine Learning · Computer Science 2022-09-30 Farouq Halawa , Majid Abdul , Raashid Mohammed

We study a general problem of allocating limited resources to heterogeneous customers over time under model uncertainty. Each type of customer can be serviced using different actions, each of which stochastically consumes some combination…

Artificial Intelligence · Computer Science 2021-08-31 Wang Chi Cheung , Will Ma , David Simchi-Levi , Xinshang Wang