Analysis of order-up-to-level inventory systems with compound Poisson demand

Babaï, Mohamed Zied; Jemaı̈, Zied; Dallery, Yves

doi:10.1016/j.ejor.2010.10.004

Cited by 56 publications

(26 citation statements)

References 16 publications

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“…Nevertheless, Bootstrap method requires large sample size and a large number of previous statistical material to guarantee the accuracy of the forecast. The theoretical evidence (Porteus, 1985;Silver, Pyke, & Peterson, 1998), the digital simulation (Babai, Jemai, & Dallery, 2011;Sani & Kingsman, 1997) and the case from Porras and Dekker (2008) conformably indicate that the (s, S) system is more proper. However, due to that intermittent demand has little nonzero value, which means it is hard to get accurate distribution of demand, therefore, we can't calculate out s and S; even the distribution is known, the calculation process of optimal (s, S) is complicated.…”

Section: Research Backgroundmentioning

confidence: 99%

“…Therefore, the three methods are widely agreed to be the best method that used to control discontinuous stock. Babai et al (2011) do a similar study with a large amount of data and come up with the conclusion that Power Approximation method and Naddor's heuristic method are best in calculating average stock cost. Teunter and Sani (2009a) come up with the (T, S) dynamic inventory strategy and sets up the maximum stock level model, the calculation result indicates that the model can get better service level.…”

Section: Research Backgroundmentioning

confidence: 99%

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The Effects of the Correlation of Electric Materials on Forecasting and Stock Control

Jiang

Gao

Chi

et al. 2016

ESJ

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Forecasting and stock control play an important role in the electric companies because outstanding forecasting and stock control increase service level obviously and decrease stock cost effectively. However, the majority of the electric materials are intermittent demand, resulting in poor forecasting and stock control performance. Therefore, exploring the reasons that affect forecasting performance and stock control is necessary. This paper explores the effects of the correlation of intermittent electric materials on forecasting and stock control. First, we divide the correlation into three categories: autocorrelation in demand sizes, autocorrelation in intervals and cross-correlation between demand size and interval. Forecasting by SBA approach and using periodic dynamic inventory strategy (T, S) to control stock, exploring the effects of these three correlations on forecast accuracy, stock cost and service level. The data shows that correlations of electric materials affect their forecasting and stock control, which will help company find more accurate forecast approach and lower the cost of stock in the future.

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Section: Research Backgroundmentioning

confidence: 99%

Section: Research Backgroundmentioning

confidence: 99%

The Effects of the Correlation of Electric Materials on Forecasting and Stock Control

Jiang

Gao

Chi

et al. 2016

ESJ

View full text Add to dashboard Cite

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“…The lack of attention to the lost sales case, especially for basestock inventory systems under compound Poisson demand has motivated this research work. In this paper, we extend the work of [2] by analyzing the same base-stock inventory system under the lost sales case. The optimal base-stock level is determined under a cost oriented system where unfilled demands are lost.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, a research work has been conducted to analyze a single echelon single item base-stock system where Demand is modeled as a compound Poisson process and the lead-time is stochastic following a General distribution [2]. In order to determine the optimal base-stock level, the authors have considered cost oriented inventory systems where unfilled demands are backordered.…”

Section: Introductionmentioning

confidence: 99%

Base Stock Inventory Systems with Compound Poisson Demand: Case of Partial Lost Sales

Babaï¹,

Jemaı̈

Dallery

2013

IFIP Advances in Information and Communication Technology

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Abstract. In this paper we extend earlier work that analyzes a single echelon single item base-stock inventory system where Demand is modeled as a compound Poisson process and the lead-time is stochastic. The extension consists in considering a cost oriented system where unfilled demands are lost. The case of partial lost sales is assumed. We first model the inventory system as a Makovian M/G/∞ queue then we propose a method to calculate numerically the optimal base-stock level. A preliminary numerical investigation is also conducted to show the performance of our solution.

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“…packaging, metallurgy, automotive). To keep within an overall framework, the different changes of setpoint corresponding to the usage profile of a control system are assumed distributed with a homogeneous Poisson process {N t : t >= 0} with intensity µ Babai et al (2011). The probability that the actuator experiences n shocks (i.e n solicitations) in a time…”

Section: Actuator Degradation Modelmentioning

confidence: 99%

Joint maintenance and controller reconfiguration policy for a gradually deteriorating control system

Langeron

Grall

Barros

2017

Proceedings of the Institution of Mechanical Engineers, Part O:

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This paper tackles with the maintenance decision-making of gradually deteriorating control systems. The main feature of these systems is their ability within a closedloop to drive actuators in order to set the controlled process in a given state.Usually, the literature deals with the diagnosis of faults of a control system and the means for recovering system performances after their appearance. The controller reconfiguration is one of these means. The root cause of a fault is rarely argued nor its occurrence time. Before designing maintenance policies, this paper proposes a stochastic modeling framework of a degrading control system focusing on the actuator deterioration. It is assumed a close relationship between the controller setting, the actuator deterioration and finally its faulty situations. These latter are related to given degradation thresholds. Due to the stochastic nature of the deterioration, the corresponding hitting times are thus random. The obtained models allow to assess the conditional reliability of the actuator and then the prognosis of its residual useful life namely the RUL. This RUL is finally used to achieve two maintenance policies based upon the reconfiguration of the controller considered as a new maintenance action.Prepared using sagej.cls

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Analysis of order-up-to-level inventory systems with compound Poisson demand

Cited by 56 publications

References 16 publications

The Effects of the Correlation of Electric Materials on Forecasting and Stock Control

The Effects of the Correlation of Electric Materials on Forecasting and Stock Control

Base Stock Inventory Systems with Compound Poisson Demand: Case of Partial Lost Sales

Joint maintenance and controller reconfiguration policy for a gradually deteriorating control system

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