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The Assignment problem is a fundamental and well-studied problem in the intersection of Social Choice, Computational Economics and Discrete Allocation. In the Assignment problem, a group of agents expresses preferences over a set of items,…

Data Structures and Algorithms · Computer Science 2021-05-24 Barak Steindl , Meirav Zehavi

In this work we investigate the problem of order batching and picker routing in storage areas. These are labour and capital intensive problems, often responsible for a substantial share of warehouse operating costs. In particular, we…

Optimization and Control · Mathematics 2018-08-03 Cristiano Arbex Valle , John E Beasley , Alexandre Salles da Cunha

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

In this paper we address a unified mathematical optimization framework to compute a wide range of measures used in most operations research and data science contexts. The goal is to embed such metrics within general optimization models…

Optimization and Control · Mathematics 2025-03-25 Victor Blanco , Miguel A. Pozo , Justo Puerto , Alberto Torrejon

Stochastic choice-based discrete planning is a broad class of decision-making problems characterized by a sequential decision-making process involving a planner and a group of customers. The firm or planner first decides a subset of options…

Optimization and Control · Mathematics 2024-09-20 Jiajie Zhang , Yun Hui Lin , Gerardo Berbeglia

The online retailers network models are considered. In some nodes of the network consumers are located. Each consumer wishes to purchase a particular product at minimal cost due to the price of goods and transport corruption costs. Also, in…

Optimization and Control · Mathematics 2016-09-21 Oleg Malafeyev , Nadezhda Redinskikh , Nikolay Rumyantsev

The robust multi-product pricing problem is to determine the prices of a collection of products so as to maximize the worst-case revenue, where the worst case is taken over an uncertainty set of demand models that the firm expects could be…

Optimization and Control · Mathematics 2025-02-17 Xinyi Guan , Velibor V. Mišić

Many optimization techniques evaluate solutions consecutively, where the next candidate for evaluation is determined by the results of previous evaluations. For example, these include iterative methods, "black box" optimization algorithms,…

Artificial Intelligence · Computer Science 2018-09-03 Oleg V. Shylo , Hesam Shams

One innovative solution to the last-mile delivery problem is the self-service locker system. Motivated by a real case in Singapore, we consider a POP-Locker Alliance who operates a set of POP-stations and wishes to improve the last-mile…

Optimization and Control · Mathematics 2020-02-25 Yun Hui Lin , Dongdong He , Yuan Wang , Loo Hay Lee

Robotic systems are routinely used in the logistics industry to enhance operational efficiency, but the design of robot workspaces remains a complex and manual task, which limits the system's flexibility to changing demands. This paper aims…

Robotics · Computer Science 2025-03-10 Peiyu Zeng , Yijiang Huang , Simon Huber , Stelian Coros

In this paper, we consider a multi-stage dynamic assortment optimization problem with multi-nomial choice modeling (MNL) under resource knapsack constraints. Given the current resource inventory levels, the retailer makes an assortment…

Optimization and Control · Mathematics 2025-11-05 Xi Chen , Mo Liu , Yining Wang , Yuan Zhou

We consider an assortment selection and pricing problem in which a seller has $N$ different items available for sale. In each round, the seller observes a $d$-dimensional contextual preference information vector for the user, and offers to…

Machine Learning · Computer Science 2025-03-18 Yigit Efe Erginbas , Thomas A. Courtade , Kannan Ramchandran

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

We consider a fashion discounter that supplies any of its many branches with an integral multiple of lots whose size assortment structure stems from a set of many applicable lot-types. We design a column generation algorithm for the optimal…

Optimization and Control · Mathematics 2016-03-26 Miriam Kießling , Sascha Kurz , Jörg Rambau

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

Data Structures and Algorithms · Computer Science 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

In this paper we consider the problem of pricing multiple differentiated products. This is challenging as a price change in one product, not only changes the demand of that particular product, but also the demand for the other products. To…

Optimization and Control · Mathematics 2017-10-27 Ruben van de Geer , Sandjai Bhulai

In this paper, we study an analytical approach to selecting expansion locations for retailers selling add-on products whose demand is derived from the demand of another base product. Demand for the add-on product is realized only as a…

Applications · Statistics 2018-04-05 Teng Huang , David Bergman , Ram Gopal

Facility location decisions significantly impact customer behavior and consequently the resulting demand in a wide range of businesses. Furthermore, sequentially realized uncertain demand enforces strategically determining locations under…

Optimization and Control · Mathematics 2020-01-08 Beste Basciftci , Shabbir Ahmed , Siqian Shen

We consider assortment optimization over a continuous spectrum of products represented by the unit interval, where the seller's problem consists of determining the optimal subset of products to offer to potential customers. To describe the…

Machine Learning · Statistics 2021-04-15 Yannik Peeters , Arnoud V. den Boer , Michel Mandjes

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