A fluid EOQ model with Markovian environment
Reads0
Chats0
About:
This article is published in Journal of Applied Probability.The article was published on 2015-06-01 and is currently open access. It has received 16 citations till now. The article focuses on the topics: Martingale (probability theory).read more
Citations
More filters
Journal ArticleDOI
Modelling And optimal lot-sizing of the replenishments in constrained, multi-product and bi-objective EPQ models with defective products: Generalised Cross Decomposition
TL;DR: In this article, the optimal lot-sizing of the replenishments has a cumulative effect on practical economic production quantity (EPQ) models with the aim of inventory system management.
Journal ArticleDOI
A make-to-stock production/inventory model with MAP arrivals and phase-type demands
TL;DR: The aim is to demonstrate that all cost quantities of interest can be derived in closed form under quite general assumptions on the demand arrival process and on the switches in the production rates.
Journal ArticleDOI
An order-revenue inventory model with returns and sudden obsolescence
TL;DR: An EOQ-like state-dependent inventory model with returns and sudden obsolescence with hitting-time transforms and martingales is introduced and the cost functionals under the discounted criterion are derived.
Journal ArticleDOI
Performance analysis of a reflected fluid production/inventory model
TL;DR: Applying a matrix analytic approach, fluid flow techniques and martingales, methods are developed to obtain explicit formulas for the cost functionals (setup, holding, production and lost demand costs) in the discounted case and under the long-run average criterion.
Journal ArticleDOI
Clearing control policies for MAP inventory process with lost sales
TL;DR: By applying regenerative theory, tools from the exit-time theorem for fluid processes and martingales are used to obtain cost functionals under both the discounted and average criteria.
References
More filters
Book
Production and Operations Analysis
TL;DR: Chapter 1 Strategy and Competition Chapter 2 Forecasting Chapter 3 Aggregate Planning Supplement 1 Linear Programming Chapter 4 Inventory Control Subject to Known Demand Chapter 5 Inventory Control subject to Uncertain Demand Chapter 6 Supply Chain Management Chapter 7 Push and Pull Production Control Systems: MRP and JIT.
Proceedings Article
Matrix analytic methods for stochastic fluid flows
TL;DR: An analysis of stochastic fluid flow models along the lines of matrix-analytic methods is presented, which can be extended immediately to the infinite dimensional case, and may enable the inclusion of heavy tails and self similarity in fluid models.
Journal ArticleDOI
A multi-dimensional martingale for Markov additive processes and its applications
Søren Asmussen,Offer Kella +1 more
TL;DR: In this paper, the authors established new multidimensional martingales for Markov additive processes and certain modifications of such processes (e.g., such processes with reflecting barriers), which generalize corresponding one-dimensional martingale results for Levy processes.
Journal ArticleDOI
Efficient algorithms for transient analysis of stochastic fluid flow models
TL;DR: In this paper, the authors derived several algorithms for the busy period distribution of the canonical Markovian fluid flow model and showed that these algorithms significantly increase the efficiency of matrix-geometric procedures developed earlier by the authors for the transient and steady state analyses of fluid flow models.