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In this paper, we solve the multiple product price optimization problem under interval uncertainties of the price sensitivity parameters in the demand function. The objective of the price optimization problem is to maximize the overall…

最优化与控制 · 数学 2021-07-01 Mahdi Hamzeei , Alvin Lim , Jiefeng Xu

The optimal pricing problem is a fundamental problem that arises in combinatorial auctions. Suppose that there is one seller who has indivisible items and multiple buyers who want to purchase a combination of the items. The seller wants to…

计算机科学与博弈论 · 计算机科学 2016-11-24 Takanori Maehara , Yasushi Kawase , Hanna Sumita , Katsuya Tono , Ken-ichi Kawarabayashi

Algorithmic pricing is the computational problem that sellers (e.g., in supermarkets) face when trying to set prices for their items to maximize their profit in the presence of a known demand. Guruswami et al. (2005) propose this problem…

计算机科学与博弈论 · 计算机科学 2008-08-13 Shuchi Chawla , Jason Hartline , Robert Kleinberg

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…

数据结构与算法 · 计算机科学 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

We address the problem of active online assortment optimization problem with preference feedback, which is a framework for modeling user choices and subsetwise utility maximization. The framework is useful in various real-world applications…

机器学习 · 计算机科学 2024-03-01 Aadirupa Saha , Pierre Gaillard

We consider a vehicle routing problem which seeks to minimize cost subject to time window and synchronization constraints. In this problem, the fleet of vehicles is categorized into regular and special vehicles. Some customers require both…

人工智能 · 计算机科学 2019-10-31 Minh Hoàng Hà , Tat Dat Nguyen , Thinh Nguyen Duy , Hoang Giang Pham , Thuy Do , Louis-Martin Rousseau

A problem of minimization of delivery and storage costs of a product is considered under constraints on volumes of delivery from each of the suppliers. It is required to determine optimal volumes and times of product shipments. The problem…

最优化与控制 · 数学 2013-11-06 Natalia Burlakova , Vladimir Servakh

Constrained submodular maximization has been extensively studied in the recent years. In this paper, we study adaptive robust optimization with nearly submodular structure (ARONSS). Our objective is to randomly select a subset of items that…

机器学习 · 计算机科学 2019-07-30 Shaojie Tang , Jing Yuan

We design an Inventory Allocation System (INVALS) that, for each item-store combination, plans the quantity to be allocated from a warehouse that replenishes multiple stores using trailers, while respecting typical operational constraints.…

Today's global supply chains face growing challenges due to rapidly changing market conditions, increased network complexity and inter-dependency, and dynamic uncertainties in supply, demand, and other factors. To combat these challenges,…

最优化与控制 · 数学 2025-02-18 Zhaoyang Larry Jin , Mehdi Maasoumy , Yimin Liu , Zeshi Zheng , Zizhuo Ren

We study \emph{combinatorial procurement auctions}, where a buyer with a valuation function $v$ and budget $B$ wishes to buy a set of items. Each item $i$ has a cost $c_i$ and the buyer is interested in a set $S$ that maximizes $v(S)$…

计算机科学与博弈论 · 计算机科学 2015-03-19 Ashwinkumar Badanidiyuru , Shahar Dobzinski , Sigal Oren

In many realistic problems of allocating resources, economy efficiency must be taken into consideration together with social equality, and price rigidities are often made according to some economic and social needs. We study the…

计算机科学与博弈论 · 计算机科学 2014-05-27 Wei Huang , Jian Lou , Zhonghua Wen

This paper considers a convex optimization problem with cost and constraints that evolve over time. The function to be minimized is strongly convex and possibly non-differentiable, and variables are coupled through linear constraints. In…

系统与控制 · 电气工程与系统科学 2021-01-13 Yijian Zhang , Emiliano Dall'Anese , Mingyi Hong

We present a stochastic setting for optimization problems with nonsmooth convex separable objective functions over linear equality constraints. To solve such problems, we propose a stochastic Alternating Direction Method of Multipliers…

机器学习 · 计算机科学 2013-01-23 Hua Ouyang , Niao He , Alexander Gray

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…

数据结构与算法 · 计算机科学 2015-04-27 Viswanath Nagarajan , Cong Shi

We consider several Vehicle Routing Problems (VRP) with profits, which seek to select a subset of customers, each one being associated with a profit, and to design service itineraries. When the sum of profits is maximized under distance…

数据结构与算法 · 计算机科学 2014-07-29 Thibaut Vidal , Nelson Maculan , Puca Huachi Vaz Penna , Luis Satoru Ochi

In multi-item screening, optimal selling mechanisms are challenging to characterize and implement, even with full knowledge of valuation distributions. In this paper, we aim to develop tractable, interpretable, and implementable mechanisms…

理论经济学 · 经济学 2025-10-20 Shixin Wang

We consider convex constrained optimization problems that also include a cardinality constraint. In general, optimization problems with cardinality constraints are difficult mathematical programs which are usually solved by global…

最优化与控制 · 数学 2022-09-08 Nataša Krejić , Evelin H. M. Krulikovski , Marcos Raydan

We consider a simple approach to solving assortment optimization under the random utility maximization model. The approach uses Monte-Carlo simulation to construct a ranking-based choice model that serves as a proxy for the true choice…

最优化与控制 · 数学 2025-10-02 Hassaan Khalid , Bradley Sturt

We study approximation algorithms for graph pricing with vertex capacities yet without the traditional envy-free constraint. Specifically, we have a set of items $V$ and a set of customers $X$ where each customer $i \in X$ has a budget…

数据结构与算法 · 计算机科学 2019-12-12 Zachary Friggstad , Maryam Mahboub