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Research on multi-objective combinatorial optimization and on the Cutting Stock Problem (CSP) has been widely developed over the years. In contrast, the multi-objective Cutting Stock Problem has received limited attention and has been…

Optimization and Control · Mathematics 2026-04-14 Jennifer C. Borges , Helenice de O. Florentino , Socorro Rangel

We consider the problem of static assortment optimization, where the goal is to find the assortment of size at most $C$ that maximizes revenues. This is a fundamental decision problem in the area of Operations Management. It has been shown…

Methodology · Statistics 2011-08-19 Vivek Farias , Srikanth Jagabathula , Devavrat Shah

We study the non-uniform capacitated multi-item lot-sizing (\lotsizing) problem. In this problem, there is a set of demands over a planning horizon of $T$ time periods and all demands must be satisfied on time. We can place an order at the…

Data Structures and Algorithms · Computer Science 2016-10-10 Shi Li

Genetic Algorithms are widely used in many different optimization problems including layout design. The layout of the shelves play an important role in the total sales metrics for superstores since this affects the customers' shopping…

Neural and Evolutionary Computing · Computer Science 2017-04-21 Hamide Ozlem Dalgic , Erkan Bostanci , Mehmet Serdar Guzel

The goal of the paper is to automatize the selection of mechanisms which are able to describe a set of measurements. In order to do so first we construct a set of possible mechanism fulfilling chemically reasonable requirements with a given…

Numerical Analysis · Mathematics 2019-04-03 Tibor Nagy , János Tóth , Tamás Ladics

We consider the problem of reserving link capacity in a network in such a way that any of a given set of flow scenarios can be supported. In the optimal capacity reservation problem, we choose the reserved link capacities to minimize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-03 Nicholas Moehle , Xinyue Shen , Zhi-Quan Luo , Stephen Boyd

We introduce a solution scheme for portfolio optimization problems with cardinality constraints. Typical portfolio optimization problems are extensions of the classical Markowitz mean-variance portfolio optimization model. We solve such…

Optimization and Control · Mathematics 2019-06-25 Lorenz M. Roebers , Aras Selvi , Juan C. Vera

Paper cutting is a simple process of slicing large rolls of paper, jumbo-reels, into various sub-rolls with variable widths based on demands risen by customers. Since the variability is high due to collected various orders into a pool, the…

Other Computer Science · Computer Science 2013-04-09 Mehmet E. Aydin , Osman Taylan

In this paper, we study the assortment optimization problem under the mixed-logit customer choice model. While assortment optimization has been a major topic in revenue management for decades, the mixed-logit model is considered one of the…

Optimization and Control · Mathematics 2024-07-29 Hoang Giang Pham , Tien Mai

We present an algorithm for approximating linear categories of partitions (of sets). We report on concrete computer experiments based on this algorithm which we used to obtain first examples of so-called non-easy linear categories of…

Category Theory · Mathematics 2024-02-07 Daniel Gromada , Moritz Weber

We propose the new Top-Dog-Index, a measure for the branch-dependent historic deviation of the supply data of apparel sizes from the sales data of a fashion discounter. A common approach is to estimate demand for sizes directly from the…

Optimization and Control · Mathematics 2015-04-28 Sascha Kurz , Joerg Rambau , Joerg Schluechtermann , Rainer Wolf

In this paper, we investigate a supply chain network with a supplier and multiple retailers. The supplier can either take orders from retailers directly, or choose to build a warehouse somewhere in the network to centralize the ordering…

General Economics · Economics 2025-07-15 Jianing Zhi , Xinghua Li , Zidong Chen

We study the problem of optimal subset selection from a set of correlated random variables. In particular, we consider the associated combinatorial optimization problem of maximizing the determinant of a symmetric positive definite matrix…

Computation · Statistics 2019-07-12 Yu Wang , Nhu D. Le , James V. Zidek

In this paper, we describe a novel solution to compute optimal warehouse allocations for fashion inventory. Procured inventory must be optimally allocated to warehouses in proportion to the regional demand around the warehouse. This will…

Artificial Intelligence · Computer Science 2020-07-13 Girish Sathyanarayana , Arun Patro

A common problem in large-scale data analysis is to approximate a matrix using a combination of specifically sampled rows and columns, known as CUR decomposition. Unfortunately, in many real-world environments, the ability to sample…

Machine Learning · Statistics 2018-07-10 Urvashi Oswal , Swayambhoo Jain , Kevin S. Xu , Brian Eriksson

For clustering of an undirected graph, this paper presents an exact algorithm for the maximization of modularity density, a more complicated criterion to overcome drawbacks of the well-known modularity. The problem can be interpreted as the…

Social and Information Networks · Computer Science 2017-06-28 Keisuke Sato , Yoichi Izunaga

This paper proposes a design for a system to generate constraint solvers that are specialised for specific problem models. It describes the design in detail and gives preliminary experimental results showing the feasibility and…

Artificial Intelligence · Computer Science 2010-02-02 Lars Kotthoff

This paper considers real-time dispatching for large-scale ride-sharing services over a rolling horizon. It presents RTDARS which relies on a column-generation algorithm to minimize wait times while guaranteeing short travel times and…

Optimization and Control · Mathematics 2023-03-07 Connor Riley , Antoine Legrain , Pascal Van Hentenryck

Given a collection $L$ of line segments, we consider its arrangement and study the problem of covering all cells with line segments of $L$. That is, we want to find a minimum-size set $L'$ of line segments such that every cell in the…

Computational Geometry · Computer Science 2017-08-03 Matias Korman , Sheung-Hung Poon , Marcel Roeloffzen

The numerical performance of algorithms can be studied using test sets or procedures that generate such problems. This paper proposes various methods for generating linear, semidefinite, and second-order cone optimization problems.…

Optimization and Control · Mathematics 2023-02-03 Mohammadhossein Mohammadisiahroudi , Ramin Fakhimi , Brandon Augustino , Tamás Terlaky