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Related papers: A physical model approach to order lot sizing

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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…

Optimization and Control · Mathematics 2013-11-06 Natalia Burlakova , Vladimir Servakh

We consider an assortment optimization problem where a customer chooses a single item from a sequence of sets shown to her, while limited inventories constrain the items offered to customers over time. In the special case where all of the…

Data Structures and Algorithms · Computer Science 2020-07-28 Elaheh Fata , Will Ma , David Simchi-Levi

This paper addresses the single-item single-stocking location non-stationary stochastic lot-sizing problem under a reorder point -- order quantity control strategy. The reorder points and order quantities are chosen at the beginning of the…

Optimization and Control · Mathematics 2022-03-08 Xiyuan Ma , Roberto Rossi , Thomas Welsh Archibald

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 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

There is a great need to stock materials for production, but storing materials comes at a cost. Lack of organization in the inventory can result in a very high cost for the final product, in addition to generating other problems in the…

Motivated by modern-day applications such as Attended Home Delivery and Preference-based Group Scheduling, where decision makers wish to steer a large number of customers toward choosing the exact same alternative, we introduce a novel…

Optimization and Control · Mathematics 2025-02-13 Omar El Housni , Marouane Ibn Brahim , Danny Segev

Strategic product placement can have a strong influence on customer purchase behavior in physical stores as well as online platforms. Motivated by this, we consider the problem of optimizing the placement of substitutable products in…

Data Structures and Algorithms · Computer Science 2025-10-06 Omar El Housni , Rajan Udwani

We consider a continuous-review inventory system in which the setup cost of each order is a general function of the order quantity and the demand process is modeled as a Brownian motion with a positive drift. Assuming the holding and…

Optimization and Control · Mathematics 2020-09-03 Shuangchi He , Dacheng Yao , Hanqin Zhang

We consider a distribution logistics scenario where a shipping operator, managing a limited amount of resources, receives a stream of collection requests, issued by a set of customers along a booking time-horizon, that are referred to a…

Optimization and Control · Mathematics 2023-07-04 Giovanni Giallombardo , Francesca Guerriero , Giovanna Miglionico

In this paper we study a continuous time stochastic inventory model for a commodity traded in the spot market and whose supply purchase is affected by price and demand uncertainty. A firm aims at meeting a random demand of the commodity at…

Optimization and Control · Mathematics 2015-06-12 Maria B. Chiarolla , Giorgio Ferrari , Gabriele Stabile

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

$ $In many optimization problems, a feasible solution induces a multi-dimensional cost vector. For example, in load-balancing a schedule induces a load vector across the machines. In $k$-clustering, opening $k$ facilities induces an…

Data Structures and Algorithms · Computer Science 2018-11-14 Deeparnab Chakrabarty , Chaitanya Swamy

Optimization problems with the objective function in the form of weighted sum and linear equality constraints are considered. Given that the number of local cost functions can be large as well as the number of constraints, a stochastic…

Optimization and Control · Mathematics 2026-05-26 Nataša Krejić , Nataša Krklec Jerinkić , Sanja Rapajić , Luka Rutešić

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

The food production industry, especially the meat production sector, faces many challenges that have even escalated due to the recent outbreak of the energy crisis in the European Union. Therefore, efficient use of input materials is an…

Artificial Intelligence · Computer Science 2025-07-23 Marek Vlk , Premysl Sucha , Jaroslaw Rudy , Radoslaw Idzikowski

In markets where customers tend to purchase baskets of products rather than single products, assortment optimization is a major challenge for retailers. Removing a product from a retailer's assortment can result in a severe drop in…

Optimization and Control · Mathematics 2025-11-18 Andrey Vasilyev , Sebastian Maier , Ralf W. Seifert

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

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

A novel high-frequency market-making approach in discrete time is proposed that admits closed-form solutions. By taking advantage of demand functions that are linear in the quoted bid and ask spreads with random coefficients, we model the…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Jonathan Chávez-Casillas , José E. Figueroa-López , Chuyi Yu , Yi Zhang