Optimal and hierarchical controls in dynamic stochastic manufacturing systems: A survey

Manufacturing and Service Operations Management

Volumn 4, Issue 2, 2002, Pages 133-170

  Sethi, S P ^a   Yan, H ^a   Zhang, H ^a   Zhang, Qing ^a  

^a UNIVERSITY OF TEXAS AT DALLAS   (United States)

Author keywords

Dynamic Programming; Hierarchical Control; Manufacturing Systems; Singular Perturbations; Stochastic Control; Viscosity Solution

Indexed keywords

APPROXIMATION THEORY; DECISION MAKING; DYNAMIC PROGRAMMING; HIERARCHICAL SYSTEMS; STOCHASTIC CONTROL SYSTEMS;

DYNAMIC STOCHASTIC MANUFACTURING SYSTEMS;

OPTIMAL CONTROL SYSTEMS;

EID: 0036520603     PISSN: 15234614     EISSN: None     Source Type: Journal    
DOI: 10.1287/msom.4.2.133.281     Document Type: Review

References (160)

1. Perturbation and stability theory for Markov control problems
2. An extension and solution of Arrow-Karlin type production models by the pontryagin maximum principle
3. Optimal control of production rate in a failure-prone manufacturing system
4. Control of a hybrid stochastic system
5. Asymptotic optimization of a nonlinear hybrid system governed by a Markov decision process
6. Disaggregation under uncertainty in hierarchical production planning
7. Scheduling manufacturing systems with work-in-process inventory
8. Controlled random degenerate diffusions under long-run average cost
9. Stochastic production planning with production constraints
10. Optimality of zero-inventory policies for unreliable manufacturing systems
11. On the design of hierarchical production planning systems
12. Hierarchical production planning
13. Production planning of style goods with high set-up costs and forecast revisions
14. Techniques for flow control and preventive maintenance in manufacturing systems
15. Manufacturing flow control and preventive maintenance: A stochastic control approach
16. Optimal production and maintenance planning of flexible manufacturing systems
17. A piecewise deterministic Markov process model for flexible manufacturing systems with preventive maintenance
18. Perturbation analysis for the design of flexible manufacturing system flow controllers
19. Optimal manufacturing flow controller design
20. Development of a science base for planning and scheduling manufacturing systems
21. Hierarchical modeling of stochastic networks, Part I: Fluid models, Part II - Strong approximations
22. Complexity science and systems engineering
23. Operations research: The next decade
24. A real-time policy for performing setup changes in a manufacturing system
25. Average cost per unit time control of stochastic manufacturing systems: Revisited
26. Optimal threshold control in discrete failure-prone manufacturing systems
27. Optimal production control in a discrete manufacturing system with unreliable machines and random demands
28. Singularly perturbed hybrid systems approximated by structured linear programs
29. Future directions in control theory: A mathematical perspective
30. Risk-sensitive control on an infinite horizon
31. Risk-sensitive production planning of a stochastic manufacturing system
32. An optimal stochastic production planning problem with random fluctuating demand
33. Hierarchical production policies in stochastic two-machine flowshop with finite buffers
34. Production planning: A review
35. Stochastic scheduling and setups in a flexible manufacturing system
36. Hierarchical flow control: A framework for scheduling and planning discrete events in manufacturing systems
37. Short-term production scheduling of an automated manufacturing facility
38. Simulation experience w0ith a hierarchical scheduling policy for a simple manufacturing system
39. Optimal control of switching diffusions with applications to flexible manufacturing systems
40. Ergodic control of switching diffusions
41. Instantaneous control of Brownian motion
42. Scheduling networks of queues: Heavy traffic analysis of a simple open network
43. Scheduling networks of queues: Heavy traffic analysis of a two-station closed network
44. Impulse control of Brownian motion
45. Optimal control problems with differential inclusions: Sufficiency conditions an application toa production-inventory model
46. Dynamic set-up scheduling of flexible manufacturing systems: Design and stability of near optimal general round robin policies
47. A state aggregation approach to manufacturing systems having machines states with weak and strong interactions
48. Sequential production planning over time at minimum cost
49. Structing asymptotic series for probability of Markov chains with weak and strong interactions
50. An algorithm for the computer control production in flexible manufacturing systems
51. Double band polling for stochastic manufacturing systems in heavy traffic
52. Production control in a failure-prone manufacturing system: Diffusion approximation and asymptotic optimality
53. Performance bounds for queuing networks and scheduling polities
54. Optimal and approximately optimal control policies for queues in heavy traffic
55. Robust hierarchical production planning under uncertainty
56. An asymptotic analysis of hierarchical control of manufacturing systems under uncertainty
57. Dynamics and design of a class of parameterized manufacturing flow controllers
58. On the ordering of optimal hedging points in a class of manufacturing flow control models
59. An extension of Modigliani and Hohn's planning horizons results
60. A robust production control policy for VLSI wafer fabrication
61. Optimal control rules for scheduling job shops
62. Optimal feedback production planning in a stochastic two machine flowshop
63. Production planning over time and the nature of the expectation and planning horizon
64. Ergodic control in stochastic manufacturing systems with constant demand
65. Asymptotic optimization for a class of nonlinear stochastic hybrid systems on infinite time horizon
66. Optimal feedback production planning in a stochastic N-machine flowshop
67. Optimal feedback production planning in a stochastic N-machine flowshop
68. Optimal feedback production planning in stochastic dynamic jobshops
69. Optimal feedback production planning in a stochastic N-machine flowshop with limited buffers
70. Optimality of zero-inventory policies for an unreliable manufacturing system producing two part types
71. Optimal production planning in a stochastic N-machine flowshop with long-run average cost
72. Optimal production planning in stochastic jobshops with long-run average cost
73. Optimality in two-machine flowshop with limited buffer
74. Aggregation and disaggregation techniques and methodology in optimization
75. Singular perturbations and time-scale methods in control theory: Survey 1976-1983
76. Computational evaluation of hierarchical production control policies for stochastic manufacturing systems
77. Some insights into near-optimal plans for stochastic manufacturing systems
78. Simple models in stochastic production planning
79. Hierarchical production planning in a stochastic manufacturing systems with long-run average cost: Asymptotic optimality
80. Average-cost optimality of Kanban policies for a stochastic flexible manufacturing system
81. Asymptotic optimality in hierarchical control of manufacturing systems under uncertainty: State of the art
82. Multilevel hierarchical controls in dynamic stochastic marketing-production systems
83. Hierarchical production planning in dynamic stochastic manufacturing systems: Asymptotic optimality and error bounds
84. Asymptotic optimal controls in stochastic manufacturing systems with machine failures dependent on production rates
85. Multilevel hierarchical decision making in stochastic marketing-production systems
86. Hierarchical production and setup scheduling in stochastic manufacturing systems
87. Asymptotic optimality of hierarchical controls in stochastic manufacturing systems: A review
88. Stochastic dynamic job shops and hierarchical production planning
89. Optimal feedback controls in deterministic dynamic two-machine flowshops
90. Asymptotic optimal feedback controls in stochastic dynamic two-machine flowshops
91. Turnpike sets and their analysis in stochastic production planning problems
92. Capacity and production decisions in stochastic manufacturing systems: An asymptotic optimal hierarchical approach
93. Hierarchical controls in stochastic manufacturing systems with machines in tandem
94. Hierarchical production planning in a stochastic flowshop with a finite internal buffer
95. Feedback production planning in a stochastic two-machine flowshop: Asymptotic analysis and computational results
96. Hierarchical decomposition of production and capacity investment decision in stochastic manufacturing systems
97. Hierarchical controls in stochastic manufacturing systems with convex costs
98. Optimal production planning in a stochastic manufacturing system with long-run average cost
99. Hierarchical production control in a stochastic manufacturing system with long-run average cost
100. Hierarchical production controls in a stochastic two-machine flowshop with a finite internal buffer
101. Optimal production planning in a multiproduct stochastic manufacturing system with long-rum average cost
102. Minimum average cost production planning in stochastic manufacturing systems
103. Optimal production rates in a deterministic two-product manufacturing system
104. Hierarchical production control ina stochastic N- machine flowshop with long-run average cost
105. Hierarchical production control in dynamic stochastic jobshops with long-run average cost
106. Hierarchical production planning in a stochastic N-machine flowshop with limited buffers
107. Optimal and hierarchical controls in dynamic stochastic manufacturing systems: A review
108. Turnpike set analysis in stochastic manufacturing systems with long-run average cost
109. Production control of a manufacturing system with multiple machine states
110. Dynamic setup scheduling and flow control in manufacturing systems
111. On asymptotic optimization for a class of nonlinear stochastic hybrid systems
112. The architecture of complexity
113. An introduction to hierarchical systems theory
114. Optimal control with state space constraints, II
115. Singular perturbations in manufacturing systems
116. A problem in optimal stock management
117. Partial characterization of optimal hedging point policies in unreliable two-part-type manufacturing systems
118. Selection of setup times in a hierarchically controlled manufacturing system
119. Hierarchical real-time integrated scheduling of a semiconductor fabrication facility
120. Turnpike horizons for production planning
121. A review of production planning and scheduling of models in the semiconductor industry, Part II: Shop floor control
122. Production control for a tandem two-machine system
123. Optimal average cost manufacturing flow controllers: Convexity and differentiability
124. Production planning with convex costs: A parametric study
125. Optimal control of piecewise deterministic Markov processes
126. Decomposition of control in a hierarchical framework for manufacturing systems
127. Optimal control of a two-station Brownian network
128. Using stochastic optimization to determine threshold values for control of unreliable manufacturing systems
129. Testing the robustness of two-boundary control policies in semiconductor manufacturing
130. Risk sensitive production planning of stochastic manufacturing systems: A singular perturbation approach
131. Finite state Markovian decision processes with weak and strong interactions
132. A sufficient condition for near optimal stochastic controls and its application to manufacturing systems