Analysis of a production-inventory system with unreliable production facility

Posner, M. J. M.; Berg, Menachem

doi:10.1016/0167-6377(89)90020-5

Cited by 58 publications

(21 citation statements)

References 8 publications

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“…In this section, the production-inventory system that is used by Posner and Berg (1989) is discussed in more detail.…”

Section: The Production-inventory Modelmentioning

confidence: 99%

“…To validate the simulation model we built, the analytical results of Posner and Berg (1989) are compared to the results of the simulation model with exponentially distributed order sizes. A 95% confidence interval is constructed for the simulation output.…”

Section: A Output Data Analysismentioning

confidence: 99%

“…Posner and Berg (1989) derived an explicit closed form solution for the steady state distribution of the inventory level and used this result to compute system performance indices of interest related to service level to customers and machine utilization. They consider a basic model which involves only one production machine with constant production rate which operates as long as the accumulated inventory is below a pre-set threshold, and is idle otherwise.…”

Section: Introductionmentioning

confidence: 99%

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Analysis Of A Production-Inventory System With Unreliable Production Facility

Ramaekers

Janssens

2007

ECMS 2007 Proceedings Edited By: I. Zelinka, Z. Oplatkova, A. Orsoni

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This paper tests the robustness of analytical results on performance measures for a production-inventory system with an unreliable production facility. A basic model is considered which involves a single production machine with constant production rate which operates as long as the accumulated inventory is below a pre-set threshold, and is idle otherwise. The demand process follows a compound Poisson distribution and the operating time of a machine until failure as well as the repair time of a failed machine are assumed to be exponentially distributed. A demand that cannot be fully satisfied from existing inventory takes whatever is available and the rest of the demand is lost. Analytical results exist only for the special case where the order sizes are exponentially distributed. In this paper, a simulation model is built to obtain performance measures for the same production-inventory system facing other demand processes. These results are used to test the robustness of the analytical results to changes in the demand process.

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“…In this section, the production-inventory system that is used by Posner and Berg (1989) is discussed in more detail.…”

Section: The Production-inventory Modelmentioning

confidence: 99%

Section: A Output Data Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysis Of A Production-Inventory System With Unreliable Production Facility

Ramaekers

Janssens

2007

ECMS 2007 Proceedings Edited By: I. Zelinka, Z. Oplatkova, A. Orsoni

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show abstract

“…They derive a closed form solution for the steady-state distribution of the inventory level and computed system performance measures. Berg, Posner, and Zhao (1994) extend the model of Posner and Berg (1989) in which only one machine is considered. They studied the performance of production systems that consist of a number of machines, each producing the same type of item and obtained the stationary distribution of the inventory process for different assumptions on the random behaviour of the production, demand and reliability processes.…”

Section: Supplier's Reliabilitymentioning

confidence: 99%

“…They gave a procedure for determining the optimal buffer size and control parameter. Posner and Berg (1989) incorporated the element of machine imperfection into a relatively simplified production situation: one machine, constant production rate and a compound Poisson demand process for the product. They derive a closed form solution for the steady-state distribution of the inventory level and computed system performance measures.…”

Section: Supplier's Reliabilitymentioning

confidence: 99%