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Xiang, Dong.

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Optimal control of unreliable manufacturing systems: Structural properties and queueing equivalence.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal control of unreliable manufacturing systems: Structural properties and queueing equivalence./
Author:	Xiang, Dong.
Description:	157 p.
Notes:	Source: Dissertation Abstracts International, Volume: 55-09, Section: B, page: 4097.
Contained By:	Dissertation Abstracts International55-09B.
Subject:	Operations Research. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9504119

Optimal control of unreliable manufacturing systems: Structural properties and queueing equivalence.
Xiang, Dong.

Optimal control of unreliable manufacturing systems: Structural properties and queueing equivalence. - 157 p.

Source: Dissertation Abstracts International, Volume: 55-09, Section: B, page: 4097.

Thesis (Ph.D.)--Boston University, 1995.

Optimal production control for failure-prone manufacturing systems is one of the most important issues in production planning and management. Over the past few years, many approaches to the optimal production control problem have been taken. Typically, a dynamic programming approach has been applied, in which the optimal control policy can be characterized by the well-known Hamilton-Jacobi-Bellman (HJB) equations. The HJB equations for such a problem form a set of differential equations usually with implicit boundary conditions which are extremely hard to solve. As an alternative, one often has to resort to approximate and/or numerical techniques to find optimal or near-optimal controls.Subjects--Topical Terms:

626629
Operations Research.

Optimal control of unreliable manufacturing systems: Structural properties and queueing equivalence.
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008 130614s1995 eng d
035 $a (UnM)AAI9504119
035 $a AAI9504119
040 $a UnM $c UnM
100 1 $a Xiang, Dong. $3 1942319
245 1 0 $a Optimal control of unreliable manufacturing systems: Structural properties and queueing equivalence.
300 $a 157 p.
500 $a Source: Dissertation Abstracts International, Volume: 55-09, Section: B, page: 4097.
500 $a Adviser: Jian-Qiang Hu.
502 $a Thesis (Ph.D.)--Boston University, 1995.
520 $a Optimal production control for failure-prone manufacturing systems is one of the most important issues in production planning and management. Over the past few years, many approaches to the optimal production control problem have been taken. Typically, a dynamic programming approach has been applied, in which the optimal control policy can be characterized by the well-known Hamilton-Jacobi-Bellman (HJB) equations. The HJB equations for such a problem form a set of differential equations usually with implicit boundary conditions which are extremely hard to solve. As an alternative, one often has to resort to approximate and/or numerical techniques to find optimal or near-optimal controls.
520 $a In this dissertation, the investigation of the optimal production control problem for failure-prone manufacturing systems is continued. The objective is two-fold: (1) to study structural properties of optimal control, and (2) to investigate how the structural properties can be used in the design of optimal or near-optimal controls.
520 $a Knowledge of the structural properties of optimal control is very important to obtain optimal or near-optimal controls. Especially when approximation and numerical methods are to be used, the structural properties of optimal control can drastically reduce the search space relevant to the derivation of reasonable near-optimal controls. The HJB equations are used to establish the structural properties of optimal control for systems in which the rates of the machine failure and repair are not constants. This approach extends substantially previous work in this area. The most significant result obtained is the monotonicity property of optimal control.
520 $a Based on the structural properties of optimal control, a novel approach to the optimal controller design has been developed. Unlike previous attempts to solve the optimal production control problem, the method presented here takes advantage of an important relationship between a class of systems operated under the optimal control policy and some simple queueing systems. Because the structural properties of optimal control are known, the queueing relationship can be established using the sample path analysis method. The optimal control can then be obtained using existing results from queueing theory. A significant advantage of this new method is that it can also be applied to systems in which the rates of the machine failure and repair are not constants. Several examples are provided.
590 $a School code: 0017.
650 4 $a Operations Research. $3 626629
650 4 $a Engineering, Industrial. $3 626639
650 4 $a Engineering, System Science. $3 1018128
690 $a 0796
690 $a 0546
690 $a 0790
710 2 0 $a Boston University. $3 1017454
773 0 $t Dissertation Abstracts International $g 55-09B.
790 1 0 $a Hu, Jian-Qiang, $e advisor
790 $a 0017
791 $a Ph.D.
792 $a 1995
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9504119