Optimal production planning in a stochastic manufacturing system with long-run average cost

DOI10.1023/A:1022696215389zbMath0886.90084MaRDI QIDQ1364225

W. Suo, Qing Zhang, Suresh P. Sethi, Michael I. Taksar

Publication date: 25 August 1997

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

optimal controlvanishing discount approachconstant demandaverage cost problemdynamic stochastic manufacturing systemoptimal production planning

Mathematics Subject Classification ID

Production models (90B30) Application models in control theory (93C95) Optimal stochastic control (93E20) Stochastic systems in control theory (general) (93E03)

Related Items (16)

Average cost optimality in inventory models with Markovian demands ⋮ A Finite Horizon Dynamic Programming Model for Production and Repair Decisions ⋮ Existence of optimal feedback production plans in stochastic flowshops with limited buffers ⋮ Hierarchical production control in a stochastic manufacturing system with long-run average cost ⋮ Some results on Bellman equations of optimal production control in a stochastic manufacturing system ⋮ Optimal control of a multistate failure-prone manufacturing system under a conditional value-at-risk cost criterion ⋮ A fuzzy control system with application to production planning problems ⋮ Ergodic control in stochastic manufacturing systems with constant demand ⋮ Optimal Production Control in Stochastic Manufacturing Systems with Degenerate Demand ⋮ Producing in a manufacturing system with minimum average cost ⋮ Uniqueness of solution of production control problem in a manufacturing system with degenerate demand ⋮ Economic design of memory-type control charts: the fallacy of the formula proposed by Lorenzen and Vance (1986) ⋮ Dynamic modeling and control of supply chain systems: A review ⋮ Convex stochastic fluid programs with average cost. ⋮ Exponential bounds for discrete-time singularly perturbed Markov chains ⋮ Hierarchical production control in a stochastic \(N\)-machine flowshop with long-run average cost.

Cites Work

• Optimization and nonsmooth analysis
• Production control of a manufacturing system with multiple machine states
• Optimality of Zero-Inventory Policies for Unreliable Manufacturing Systems
• Turnpike Sets and Their Analysis in Stochastic Production Planning Problems
• Ergodic Control of Switching Diffusions
• Scheduling manufacturing systems with work-in-process inventory control: multiple-part-type systems
• On the ordering of optimal hedging points in a class of manufacturing flow control models
• State Constraints in Convex Control Problems of Bolza
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