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The main contribution of this paper resides in developing a new algorithmic approach for addressing the continuous-time joint replenishment problem, termed $\Psi$-pairwise alignment. The latter mechanism, through which we synchronize…

Data Structures and Algorithms · Computer Science 2023-02-21 Danny Segev

In this paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem. While this paradigm…

Data Structures and Algorithms · Computer Science 2026-01-23 Danny Segev

The continuous-time joint replenishment problem has long served as a foundational inventory management model. Even though its unconstrained setting has seen recent algorithmic advances, the incorporation of resource constraints into this…

Data Structures and Algorithms · Computer Science 2026-03-20 Danny Segev

Since its inception in the mid-60s, the inventory staggering problem has been explored and exploited in a wide range of application domains, such as production planning, stock control systems, warehousing, and aerospace/defense logistics.…

Data Structures and Algorithms · Computer Science 2025-06-13 Noga Alon , Danny Segev

While dynamic policies have historically formed the foundation of most influential papers dedicated to the joint replenishment problem, we are still facing profound gaps in our structural understanding of optimal such policies as well as in…

Data Structures and Algorithms · Computer Science 2025-06-24 Danny Segev

In this paper we study the long-standing open question regarding the computational complexity of one of the core problems in supply chains management, the periodic joint replenishment problem. This problem has received a lot of attention…

Computational Complexity · Computer Science 2015-11-10 Tamar Cohen , Liron Yedidsion

We consider a discrete-time formulation for a class of high-dimensional stochastic joint replenishment problems. First, we approximate the problem by a continuous-time impulse control problem. Exploiting connections among the impulse…

Optimization and Control · Mathematics 2026-05-29 Barış Ata , Wouter van Eekelen , Yuan Zhong

We study the incremental knapsack problem, where one wishes to sequentially pack items into a knapsack whose capacity expands over a finite planning horizon, with the objective of maximizing time-averaged profits. While various…

Data Structures and Algorithms · Computer Science 2020-10-16 Ali Aouad , Danny Segev

The Joint Replenishment Problem (JRP) is a fundamental optimization problem in supply-chain management, concerned with optimizing the flow of goods from a supplier to retailers. Over time, in response to demands at the retailers, the…

Data Structures and Algorithms · Computer Science 2015-12-04 Marcin Bienkowski , Jaroslaw Byrka , Marek Chrobak , Neil Dobbs , Tomasz Nowicki , Maxim Sviridenko , Grzegorz Swirszcz , Neal E. Young

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 introduce and study a class of optimization problems we coin replenishment problems with fixed turnover times: a very natural model that has received little attention in the literature. Nodes with capacity for storing a certain commodity…

Data Structures and Algorithms · Computer Science 2017-12-15 Thomas Bosman , Martijn van Ee , Yang Jiao , Alberto Marchetti-Spaccamela , R. Ravi , Leen Stougie

We consider a two-product inventory system with independent Poisson demands, limited joint storage capacity and partial demand substitution. Replenishment is performed simultaneously for both products and the replenishment time may be fixed…

Optimization and Control · Mathematics 2015-10-20 Apostolos N. Burnetas , Odysseas Kanavetas

This paper considers the periodic-review stochastic joint replenishment problem (JRP) under Bookbinder and Tan's static-dynamic uncertainty control policy. According to a static-dynamic uncertainty control rule, the decision maker fixes…

Optimization and Control · Mathematics 2019-06-27 Mengyuan Xiang , Roberto Rossi , S. Armagan Tarim

In this focused technical paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem.…

Data Structures and Algorithms · Computer Science 2026-01-23 Danny Segev

This paper considers a combination of the joint replenishment problem with single machine scheduling. There is a single resource, which is required by all the jobs, and a job can be started at time point $t$ on the machine if and only the…

Data Structures and Algorithms · Computer Science 2024-05-03 Péter Györgyi , Tamás Kis , Tímea Tamási

We study a class of combinatorial scheduling problems characterized by a particular type of constraint often associated with electrical power or gas energy. This constraint appears in several practical applications and is expressed as a sum…

Data Structures and Algorithms · Computer Science 2023-12-27 Trung Thanh Nguyen , Khaled Elbassioni , Areg Karapetyan , Majid Khonji

When machine learning systems meet real world applications, accuracy is only one of several requirements. In this paper, we assay a complementary perspective originating from the increasing availability of pre-trained and regularly…

The Continuous Periodic Joint Replenishment Problem (CPJRP) has been one of the core and most studied problems in supply chain management for the last half a century. Nonetheless, despite the vast effort put into studying the problem, its…

Optimization and Control · Mathematics 2020-06-11 Alexander Tuisov , Liron Yedidsion

Distribution networks with periodically repeating events often hold great promise to exploit economies of scale. Joint replenishment problems are a fundamental model in inventory management, manufacturing, and logistics that capture these…

Computational Complexity · Computer Science 2020-07-20 Andreas S. Schulz , Claudio Telha

The joint replenishment problem (JRP) is a classical inventory management problem. We consider a natural generalization with outliers, where we are allowed to reject (that is, not service) a subset of demand points. In this paper, we are…

Data Structures and Algorithms · Computer Science 2023-08-10 Varun Suriyanarayana , Varun Sivashankar , Siddharth Gollapudi , David Shmoys
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