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This paper addresses the two-stocking locations single item non-stationary stochastic lot-sizing problem. The inventory level at each location is reviewed periodically. Items can be reordered and received from a common central warehouse and…

Optimization and Control · Mathematics 2022-03-31 Xiyuan Ma , Roberto Rossi , Thomas Archibald

We consider a sequential decision model over multi-tier supply chain networks and show that in particular, for series parallel networks, there is a unique equilibrium. We provide a linear time algorithm to compute the equilibrium and study…

Computer Science and Game Theory · Computer Science 2020-09-29 Tao Jiang , Young-San Lin , Thanh Nguyen

We consider a continuous time linear multi inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of "-stabilizing the inventory since this implies some…

Optimization and Control · Mathematics 2007-10-26 D. Bauso , L. Giarré , R. Pesenti

In this paper, we propose an inventory model where items are inspected through multiple screening processes before delivery to customers. Each screening process has independent screening rate and defective percentage. Defective items…

Optimization and Control · Mathematics 2013-02-07 Allen H. Tai

This paper proposes a mathematical model for the design of a two-echelon supply chain where a set of suppliers serve a set of terminal facilities that receive uncertain customer demands. This model integrates a number of system decisions in…

Optimization and Control · Mathematics 2015-11-26 Jianxun Cui , Meng Zhao , Xiaopeng Li , Mohsen Parsafard , Shi An

Failure times of a machinery cannot always be assumed independent and identically distributed, e.g. if after reparations the machinery is not restored to a same-as-new condition. Framed within the renewal processes approach, a…

Applications · Statistics 2019-05-14 Arrigo Coen , Luis Gutiérrez , Ramsés H. Mena

We develop the equilibrium equations for the a model generalizing the continuous review (r, q) lost-sales model with constant lead time, multiple outstanding orders and unit Poisson demand. Demand rate is allowed to depend on inventory…

Optimization and Control · Mathematics 2013-10-01 Bryan Johnston

We present a systematic way to analyze and model systems having many characteristic time-scales. The method we propose is employed for a test-case of a meandering jet model manifesting chaotic tracer dispersion with long time-correlations.…

Chaotic Dynamics · Physics 2007-05-23 M. Abel , K. H. Andersen , G. Lacorata

We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers arrives at each production system according to a Poisson process and is lost if the local…

Probability · Mathematics 2023-03-21 Sonja Otten

Considering the close interaction between spare parts logistics and maintenance planning, this paper presents a model for joint optimization of multi-location spare parts supply chain and condition-based maintenance under predictive and…

Optimization and Control · Mathematics 2018-10-17 Morteza Soltani

We propose a simulated annealing algorithm specifically tailored to optimise total retrieval times in a multi-level warehouse under complex pre-batched picking constraints. Experiments on real data from a picker-to-parts order picking…

Artificial Intelligence · Computer Science 2017-04-05 Alexander Eckrot , Carina Geldhauser , Jan Jurczyk

Modeling and optimization of multi-echelon supply chain systems is challenging as it requires a holistic approach that exploits synergies and interactions between echelons while accurately accounting for variability observed by these…

Optimization and Control · Mathematics 2019-01-03 Anshul Agarwal

This paper investigates a two-echelon inventory system with a central warehouse and N (N > 2) retailers managed by a centralized information-sharing mechanism. In particular, the paper mathematically models an easy-to-implement inventory…

General Economics · Economics 2023-12-08 Amir Hosein Afshar Sedigh , Rasoul Haji , Seyed Mehdi Sajadifar

In this paper, we present a simple microeconomic model with linear continuous-time dynamics that describes a production-inventory system with debt repayment. This model is formulated in terms of optimal control and its exact solutions are…

Optimization and Control · Mathematics 2012-06-01 Ekaterina Tuchnolobova , Victor Terletskiy , Olga Vasilieva

This study develops a digitalized forecasting-inventory optimization pipeline integrating traditional forecasting models, machine learning regressors, and deep sequence models within a unified inventory simulation framework. Using the M5…

Artificial Intelligence · Computer Science 2026-03-18 Swata Marik , Swayamjit Saha , Garga Chatterjee

Inventory models with imperfect quality items are studied by researchers in past two decades. Till now none of them have considered the effect of substitutions to cope up with shortage and avoid lost sales. This paper presents an EOQ…

Optimization and Control · Mathematics 2018-10-09 Arindum Mukhopadhyay , A. Goswami

In this work, a system subject to different deterioration processes is analysed. The arrival of the degradation processes to the system is modelled using a shot-noise Cox process. The degradation processes grow according to an homogeneous…

Probability · Mathematics 2024-01-18 L. Bautista , Inma T. Castro , L. Landesa

We investigate the potential added value of being able to relocate production capacity, relative to fixed production capacity, in a network of multiple, geographically distributed manufacturing sites. There is a growing interest in…

Optimization and Control · Mathematics 2021-06-29 Satya S. Malladi , Alan L. Erera , Chelsea C. White

We consider a general framework for multi-type interacting particle systems on graphs, where particles move one at a time by random walk steps, different types may have different speeds, and may interact, possibly randomly, when they meet.…

Probability · Mathematics 2025-05-15 John Haslegrave , Peter Keevash

In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

Optimization and Control · Mathematics 2012-05-29 Traian A. Pirvu , Huayue Zhang
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