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We study a routing and appointment scheduling problem with uncertain service and travel times arising from home service practice. Specifically, given a set of customers within a service region that an operator needs to serve, we seek to…

最优化与控制 · 数学 2021-11-23 Man Yiu , Tsang , Karmel S. Shehadeh

We introduce adaptive sampling methods for stochastic programs with deterministic constraints. First, we propose and analyze a variant of the stochastic projected gradient method where the sample size used to approximate the reduced…

最优化与控制 · 数学 2023-02-07 Florian Beiser , Brendan Keith , Simon Urbainczyk , Barbara Wohlmuth

We consider the problem of pricing a reusable resource service system. Potential customers arrive according to a Poisson process and purchase the service if their valuation exceeds the current price. If no units are available, customers…

计算机科学与博弈论 · 计算机科学 2025-02-14 Adam N. Elmachtoub , Jiaqi Shi

Multistage stochastic programming is a powerful tool allowing decision-makers to revise their decisions at each stage based on the realized uncertainty. However, in practice, organizations are not able to be fully flexible, as decisions…

最优化与控制 · 数学 2024-01-17 Sezen Ece Kayacık , Beste Basciftci , Albert H Schrotenboer , Evrim Ursavas

We present a dynamic programming-based solution to a stochastic optimal control problem up to a hitting time for a discrete-time Markov control process. Firstly, we determine an optimal control policy to steer the process toward a compact…

最优化与控制 · 数学 2009-09-28 Debasish Chatterjee , Eugenio Cinquemani , Giorgos Chaloulos , John Lygeros

Mobility systems featuring shared vehicles are often unable to serve all potential customers, as the distribution of demand does not coincide with the positions of vehicles at any given time. System operators often choose to reposition…

最优化与控制 · 数学 2019-02-05 Joseph Warrington , Dominik Ruchti

Nurse staffing and scheduling are persistent challenges in healthcare due to demand fluctuations and individual nurse preferences. This study introduces the concept of bounded flexibility, balancing nurse satisfaction with strict rostering…

最优化与控制 · 数学 2025-06-02 Si Zhang , Paul Mingzheng Tang , Hoong Chuin Lau

We consider the single-item single-stocking location stochastic inventory system under a fixed ordering cost component. A long-standing problem is that of determining the structure of the optimal control policy when this system is subject…

最优化与控制 · 数学 2023-09-26 Roberto Rossi , Zhen Chen , S. Armagan Tarim

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…

最优化与控制 · 数学 2023-07-04 Giovanni Giallombardo , Francesca Guerriero , Giovanna Miglionico

This paper studies multiclass loss systems with two layers of servers, where each server at the first layer is dedicated to a certain customer class, while the servers at the second layer can handle all customer classes. The routing of…

概率论 · 数学 2008-02-15 Matthieu Jonckheere , Lasse Leskela

We consider a two-stage robust facility location problem on a metric under an uncertain demand. The decision-maker needs to decide on the (integral) units of supply for each facility in the first stage to satisfy an uncertain second-stage…

最优化与控制 · 数学 2020-11-11 Omar El Housni , Vineet Goyal , David Shmoys

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

最优化与控制 · 数学 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

We study the cyclic inventory routing problem that involves joint decisions on vehicle routing and inventory replenishment on an infinite, cyclic horizon. It considers a single warehouse and a set of geographically dispersed retailers. We…

最优化与控制 · 数学 2026-05-07 Menglei Jia , Albert H. Schrotenboer , Ahmadreza Marandi , Feng Chen

With multiple carriers in a logistics market, customers can choose the best carrier to deliver their products and packages. In this paper, we present a novel approach of using the stochastic evolutionary game to analyze the decision-making…

计算机科学与博弈论 · 计算机科学 2023-01-11 Rakpong Kaewpuang , Suttinee Sawadsitang , Dusit Niyato , Han Yu

A stochastic program typically involves several parameters, including deterministic first-stage parameters and stochastic second-stage elements that serve as input data. These programs are re-solved whenever any input parameter changes.…

最优化与控制 · 数学 2026-03-16 Chhavi Sharma , Harsha Gangammanavar

In this paper, we formulate an optimal ordering policy as a stochastic control problem where each firm decides the amount of input goods to order from their upstream suppliers based on the current inventory level of its output good. For…

最优化与控制 · 数学 2022-09-13 Jose I. Caiza , Ian Walter , Jitesh H. Panchal , Junjie Qin , Philip E. Pare

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…

最优化与控制 · 数学 2015-06-12 Maria B. Chiarolla , Giorgio Ferrari , Gabriele Stabile

The multi-path Traveling Salesman Problem with stochastic travel costs arises in hybrid vehicle routing applications designed for Smart City and City Logistics, where multiple paths exist between each pair of locations. Travel times along…

最优化与控制 · 数学 2026-05-15 Xiaochen Chou , Ludovica Di Marco , Enza Messina

Managing stock efficiently remains a core issue in modern logistics, where companies must reconcile cost efficiency with dependable service despite unpredictable market conditions. Conventional models often overlook the direct connection…

最优化与控制 · 数学 2026-04-14 Tianxiao Sun , Noah Schwarzkopf

We study the strategic decision-making problem of assigning time windows to customers in the context of vehicle routing applications that are affected by operational uncertainty. This problem, known as the Time Window Assignment Vehicle…

最优化与控制 · 数学 2018-10-11 Anirudh Subramanyam , Akang Wang , Chrysanthos E. Gounaris