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In this paper, we address a variant of the marketing mix optimization (MMO) problem which is commonly encountered in many industries, e.g., retail and consumer packaged goods (CPG) industries. This problem requires the spend for each…

最优化与控制 · 数学 2021-01-12 Hsin-Chan Huang , Jiefeng Xu , Alvin Lim

This paper studies the formation stabilization problem of asynchronous nonlinear multi-agent systems (MAS) subject to parametric uncertainties, external disturbances and bounded time-varying communication delays. A self-triggered min-max…

系统与控制 · 电气工程与系统科学 2022-02-22 Henglai Wei , Kunwu Zhang , Yang Shi

This applied research article explores the application of Mixed-Integer Linear Programming (MILP) to address line-balancing challenges in the garment industry, focusing on optimizing production processes under multiple constraints. By…

最优化与控制 · 数学 2025-04-10 Ray Wai Man Kong , Ding Ning , Theodore Ho Tin Kong

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…

最优化与控制 · 数学 2020-01-08 Beste Basciftci , Shabbir Ahmed , Siqian Shen

Process Planning and Scheduling (PPS) is an essential and practical topic but a very intractable problem in manufacturing systems. Many research use iterative methods to solve such problems; however, they cannot achieve satisfactory results…

分布式、并行与集群计算 · 计算机科学 2020-08-18 Kai Sun

Dynamic spectrum management is recognized as a key technique to tackle interference in multi-user multi-carrier communication systems and networks. However existing dynamic spectrum management algorithms may not be suitable when the…

信息论 · 计算机科学 2013-08-28 Paschalis Tsiaflakis , François Glineur , Marc Moonen

Dynamic economic dispatch (DED) problem considering prohibited operating zones (POZ), ramp rate constraints, transmission losses and spinning reserve constraints is a complicated non-linear problem which is difficult to solve efficiently.…

最优化与控制 · 数学 2017-04-07 Shanshan Pan , Jinbao Jian , Linfeng Yang

In this paper we consider the problem of distributed nonlinear optimisation of a separable convex cost function over a graph subject to cone constraints. We show how to generalise, using convex analysis, monotone operator theory and…

分布式、并行与集群计算 · 计算机科学 2024-05-16 Richard Heusdens , Guoqiang Zhang

Energy systems planning models identify least-cost strategies for expansion and operation of energy systems and provide decision support for investment, planning, regulation, and policy. Most are formulated as linear programming (LP) or…

最优化与控制 · 数学 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

In this paper, we investigate the constraint typology of mixed-integer linear programming MILP formulations. MILP is a commonly used mathematical programming technique for modelling and solving real-life scheduling, routing, planning,…

人工智能 · 计算机科学 2021-03-02 Vicky Mak-Hau , John Yearwood , William Moran

In this paper we deal with stochastic optimization problems where the data distributions change in response to the decision variables. Traditionally, the study of optimization problems with decision-dependent distributions has assumed…

最优化与控制 · 数学 2023-10-05 Zifan Wang , Changxin Liu , Thomas Parisini , Michael M. Zavlanos , Karl H. Johansson

In this article we derive a Pontryagin maximum principle (PMP) for discrete-time optimal control problems on matrix Lie groups. The PMP provides first order necessary conditions for optimality; these necessary conditions typically yield two…

系统与控制 · 计算机科学 2018-08-07 Karmvir Singh Phogat , Debasish Chatterjee , Ravi Banavar

This paper develops a dynamic programming (DP) approach for decentralized stochastic optimal control problems with delayed sharing information patterns, which exhibits the fundamental Properties of classical DP of centralized partially…

系统与控制 · 电气工程与系统科学 2026-04-28 Charalambos D. Charalambous , Umarbek Guvercin , Seddik Djouadi

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

最优化与控制 · 数学 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Project scheduling in manufacturing environments often requires flexibility in terms of the selection and the exact length of alternative production activities. Moreover, the simultaneous scheduling of multiple lots is mandatory in many…

人工智能 · 计算机科学 2020-10-26 Viktoria A. Hauder , Andreas Beham , Sebastian Raggl , Sophie N. Parragh , Michael Affenzeller

In this paper we investigate possible approaches to study general time-inconsistent optimization problems without assuming the existence of optimal strategy. This leads immediately to the need to refine the concept of time-consistency as…

最优化与控制 · 数学 2016-04-14 Chandrasekhar Karnam , Jin Ma , Jianfeng Zhang

We address the optimal design of a large scale multi-agent system where each agent has discrete and/or continuous decision variables that need to be set so as to optimize the sum of linear local cost functions, in presence of linear local…

最优化与控制 · 数学 2017-06-28 Alessandro Falsone , Kostas Margellos , Maria Prandini

Traditional predictive coding networks, inspired by theories of brain function, consistently achieve promising results across various domains, extending their influence into the field of computer vision. However, the performance of the…

计算机视觉与模式识别 · 计算机科学 2025-04-22 A S M Sharifuzzaman Sagar , Yu Chen , Jun Hoong Chan

This paper addresses the single-item single-stocking location stochastic lot sizing problem under the $(s, S) $ policy. We first present a mixed integer non-linear programming (MINLP) formulation for determining near-optimal $(s, S)$ policy…

最优化与控制 · 数学 2018-09-17 Mengyuan Xiang , Roberto Rossi , Belen Martin-Barragan , S. Armagan Tarim

The Chance-Constrained Parallel Machine Scheduling Problem (CC-PMSP) assigns jobs with uncertain processing times to machines, ensuring that each machine's availability constraints are met with a certain probability. We present a…

最优化与控制 · 数学 2025-04-30 Nicolás Casassus , Margarita Castro , Gustavo Angulo