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This paper studies an open question in the warehouse problem where a merchant trading a commodity tries to find an optimal inventory-trading policy to decide on purchase and sale quantities during a fixed time horizon in order to maximize…

Data Structures and Algorithms · Computer Science 2023-02-24 Ishan Bansal , Oktay Günlük

Reallocation scheduling is one of the most fundamental problems in various areas such as supply chain management, logistics, and transportation science. In this paper, we introduce the reallocation problem that models the scheduling in…

Data Structures and Algorithms · Computer Science 2021-11-05 Toshimasa Ishii , Jun Kawahara , Kazuhisa Makino , Hirotaka Ono

Motivated by distribution problems arising in the supply chain of Haleon, we investigate a discrete optimization problem that we call the "container delivery scheduling problem". The problem models a supplier dispatching ordered products…

Optimization and Control · Mathematics 2023-07-03 Anna Collins , Dimitrios Letsios , Gueorgui Mihaylov

We study a two-level uncapacitated lot-sizing problem with inventory bounds that occurs in a supply chain composed of a supplier and a retailer. The first level with the demands is the retailer level and the second one is the supplier…

Computational Complexity · Computer Science 2018-02-05 Siao-Leu Phouratsamay , Safia Kedad-Sidhoum , Fanny Pascual

In this paper we consider the open shop scheduling problem where the jobs have delivery times. The minimization criterion is the maximum lateness of the jobs. This problem is known to be NP-hard, even restricted to only 2 machines. We…

Data Structures and Algorithms · Computer Science 2017-06-08 Imed Kacem , Christophe Rapine

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi

The goal of this paper is to set a constraint programming framework to solve lot-sizing problems. More specifically, we consider a single-item lot-sizing problem with time-varying lower and upper bounds for production and inventory. The…

Optimization and Control · Mathematics 2019-07-05 Grigori German , Hadrien Cambazard , Jean-Philippe Gayon , Bernard Penz

We study the problem of optimizing assortment decisions in the presence of product-specific costs when customers choose according to a multinomial logit model. This problem is NP-hard and approximate solutions methods have been proposed in…

Optimization and Control · Mathematics 2023-12-05 Markus Leitner , Andrea Lodi , Roberto Roberti , Claudio Sole

We consider the facility location problem in the one-dimensional setting where each facility can serve a limited number of agents from the algorithmic and mechanism design perspectives. From the algorithmic perspective, we prove that the…

Computer Science and Game Theory · Computer Science 2019-11-25 Haris Aziz , Hau Chan , Barton E. Lee , Bo Li , Toby Walsh

Given facilities with capacities and clients with penalties and demands, the transportation problem with market choice consists in finding the minimum-cost way to partition the clients into unserved clients, paying the penalties, and into…

Data Structures and Algorithms · Computer Science 2016-08-23 Karen Aardal , Pierre Le Bodic

In a recent paper, Brusco, K\"ohn and Steinley [Ann. Oper. Res. 206:611-626 (2013)] conjecture that the 2 bins special case of the one-dimensional minimax bin-packing problem with bin size constraints might be solvable in polynomial time.…

Data Structures and Algorithms · Computer Science 2014-02-10 Mariona Vilà , Jordi Pereira

We consider an assortment optimization problem under the multinomial logit choice model with general covering constraints. In this problem, the seller offers an assortment that should contain a minimum number of products from multiple…

Optimization and Control · Mathematics 2025-10-06 Omar El Housni , Qing Feng , Huseyin Topaloglu

Efficient cargo packing and transport unit stacking play a vital role in enhancing logistics efficiency and reducing costs in the field of logistics. This article focuses on the challenging problem of loading transport units onto pallets,…

Robotics · Computer Science 2023-08-04 Marko Švaco , Filip Šuligoj , Bojan Šekoranja , Josip Vidaković

In this paper, we investigate the problem of a last-mile delivery service that selects up to $N$ available vehicles to deliver $M$ packages from a centralized depot to $M$ delivery locations. The objective of the last-mile delivery service…

Multiagent Systems · Computer Science 2023-01-05 Meera Ratnagiri , Clare O'Dwyer , Logan E. Beaver , Heeseung Bang , Behdad Chalaki , Andreas A. Malikopoulos

In this paper, we consider the optimal design of networked estimators to minimize the communication/measurement cost under the networked observability constraint. This problem is known as the minimum-cost networked estimation problem, which…

Systems and Control · Electrical Eng. & Systems 2019-11-27 Mohammadreza Doostmohammadian , Usman Khan

This research presents the development of a new simulation model to determine the optimal order lot sizes in Material Requirements Planning, based on purchase volume and the temporal deterioration of items. The scientific novelty lies in…

We study the solution of a large-scale transportation problem with an additional constraint on the sparsity of inbound flows. Such problems arise in the management of inventory for online retailers that operate with many order fulfillment…

Optimization and Control · Mathematics 2014-02-12 Annie I. Chen , Stephen C. Graves

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

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

Artificial Intelligence · Computer Science 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

We consider a large family of problems in which an ordering (or, more precisely, a chain of subsets) of a finite set must be chosen to minimize some weighted sum of costs. This family includes variations of Min Sum Set Cover (MSSC), several…

Data Structures and Algorithms · Computer Science 2021-06-28 Felix Happach , Lisa Hellerstein , Thomas Lidbetter
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