Manufacturing flow control and preventing maintenance: a stochastic control approach

Boukas, El‐Kébir; Haurie, Alain

doi:10.1109/9.58530

Cited by 286 publications

(106 citation statements)

References 13 publications

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“…The numerical methods used to solve the optimality conditions, corresponding to the stochastic optimal control problem, are based on the Kushner approach (Kushner and Dupuis, 1992 (Boukas andHaurie, 1990 andKushner andDupuis, 1992). The implementation of the approximation technique needs the use of a finite grid denoted herein…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Based on the pioneering work of Kimemia and Gershwin (1983) and the HPP concept, different classes of manufacturing systems have been investigated. Among many others, Akella and Kumar (1986) developed an explicit formulation of the HPP; Boukas and Haurie (1990) investigated the production and preventive maintenance control problem; Feng and Yan (2000) focused their contribution on providing a suitable production policy for unreliable systems facing stochastic demands; Hajji et al (2004) developed a production and setup policy for unreliable manufacturing systems; Gharbi and Kenne (2003) provided a suboptimal control policy for the multiple parts multiple machines problem. The main assumption made in these papers is that the system will never be starved and thus have a reliable supply of raw material.…”

Section: Introductionmentioning

confidence: 99%

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Joint Production and Supply Control in Three Levels Flexible Manufacturing Systems

Hajji

Gharbi

Kenné

2006

IFAC Proceedings Volumes

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This paper considers a stochastic optimal control problem of a three stages Flexible Manufacturing System. The supplier (i.e., upstream FMS) and the transformation stage (i.e., FMS) are both subject to random events. Our objective is to find a feedback control policy for the supply and production activities that minimizes the incurred cost. It is shown that the considered joint production and supply control problem is difficult to tackle using a dissociated analytical approach. A simulation based approach is thus proposed to achieve a close approximation of the optimal policy. The advantages of the approach include possible extensions after numerical characterization of the optimal control policy.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Joint Production and Supply Control in Three Levels Flexible Manufacturing Systems

Hajji

Gharbi

Kenné

2006

IFAC Proceedings Volumes

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“…In these models, the working life of the critical resource is often modeled as a random variable. Examples of this type of work are found in Boukas & Haurie (1990), Chelbi & Ait-Kadi (2004), Iravani & Duenyas (2002), Kenné & Nkeungoue (2008), Liberopoulos & Caramanis (1994) and Yao et al (2005), to name but a few.…”

Section: Review Of the Literaturementioning

confidence: 99%

Simultaneous production and maintenance planning for a single capacitated resource facing both a dynamic demand and intensive wear and tear

Wolter

Helber

2015

Cent Eur J Oper Res

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Suggested Citation: Wolter, Anja; Helber, Stefan (2013) : Simultaneous production and maintenance planning for a single capacitated resource facing both a dynamic demand and intensive wear and tear, Discussion AbstractThis paper presents a generic modeling framework to simultaneously decide about production quantities and maintenance operations for a capacitated resource facing a dynamic demand for different types of products. As the resource needs to be setup for each specific type of product, a lot-sizing problem occurs. In addition it is assumed that production causes intensive wear and tear. For this reason frequent maintenance activities need to be coordinated with the production operations in order to efficiently use the capacitated resource. A single generic model is presented to capture alternative forms of maintenance and different modes of interaction between maintenance and setups. As the model is numerically intractable for standard branch & bound algorithms, we solve it heuristically via a decomposition using a Fix-and-Optimize approach. Numerical results show that the proposed solution method produces high-quality results quickly. We further study the impact of simultaneous vs. sequential decisions about production and maintenance in the case of intensive wear and tear.

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“…Regarding the optimality principle, we can write the HJB equations as follows: Boukas and Haurie (1990) showed that implementing Kushner's method can solve such a problem in the context of production planning. In the Appendix, we present the numerical methods used to solve the proposed optimality conditions.…”

Section: Optimality Conditionsmentioning

confidence: 99%

Stochastic optimal control of manufacturing systems under production-dependent failure rates

Francie

Kenné

Dejax

et al. 2014

International Journal of Production Economics

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A production system consisting of two parallel machines with production-dependent failure rates is investigated in this paper. The machines produce one type of final product and unmet demand is backlogged. The objective of the system is to find a productivity policy for both machines that will minimize the inventory and shortage costs over an infinite horizon. The failure rate of the main machine depends on its productivity, while the failure rate of the second machine is constant. In the proposed model, the main machine is characterized by a higher productivity. This paper proposes a stochastic dynamic programming formulation of the problem and derives the optimal policies numerically. A numerical example is included and sensitivity analyses with respect to the system parameters are examined to illustrate the importance and effectiveness of the proposed methodology.

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Manufacturing flow control and preventing maintenance: a stochastic control approach

Cited by 286 publications

References 13 publications

Joint Production and Supply Control in Three Levels Flexible Manufacturing Systems

Joint Production and Supply Control in Three Levels Flexible Manufacturing Systems

Simultaneous production and maintenance planning for a single capacitated resource facing both a dynamic demand and intensive wear and tear

Stochastic optimal control of manufacturing systems under production-dependent failure rates

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