Failure-prone production systems with uncertain demand

James R. Perkins · R. Srikant

35 citations0/0 files storedIEEE Transactions on Automatic Control

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Supply Chain and Inventory Management Reliability and Maintenance Optimization Advanced Queuing Theory Analysis

Abstract

We consider a failure-prone manufacturing system with bursty demand arrivals. We prove that the hedging-point policy is optimal for this problem and provide analytical expressions to compute the hedging point. This allows us to compare our exact results to simpler approximations. We also show that our result leads to the solution for the constant demand rate problem, under an appropriate scaling of the demand process. We also provide a necessary and sufficient condition under which the just-in-time (JIT) policy is optimal for the case of linear, absolute value instantaneous cost.

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References

1993Manufacturing systems engineering 1994Stability, queue length, and delay of deterministic and stochastic queueing networks 1988Optimality of Zero-Inventory Policies for Unreliable Manufacturing Systems 1981Manufacturing Systems Engineering 1992A Storage Model with a Two-State Random Environment 1992A Fluid Model for Systems with Random Disruptions 1993Diffusion approximations for open queueing networks with service interruptions 1998Hedging policies for failure-prone manufacturing systems: optimality of JIT and bounds on buffer levels

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2001Optimal PHP production of multiple part-types on a failure-prone machine with quadratic buffer costs 2009Production control with backlog-dependent demand 2007Stability and optimality of a multi-product production and storage system under demand uncertainty 2013Optimal Production Control of Hybrid Manufacturing/Remanufacturing Failure-Prone Systems under Diffusion-Type Demand 2006A two-level hedging point policy for controlling a manufacturing system with time-delay, demand uncertainty and extra capacity

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