Hierarchical Production Controls for a Stochastic Manufacturing System with Long-Run Average Cost: Asymptotic Optimality

1999 ◽  
pp. 621-637
Author(s):  
Suresh P. Sethi ◽  
Hanqin Zhang
Keyword(s):  
Average Cost ◽  
Manufacturing System ◽  
Asymptotic Optimality ◽  
Long Run

Optimal Vacation Policy for a Manufacturing Facility Using Retrial System

2010 ◽  
Vol 447-448 ◽  
pp. 316-320
Author(s):  
Wee Meng Yeo ◽  
Xue Ming Yuan
Keyword(s):  
Average Cost ◽  
Manufacturing System ◽  
Probability Generating Function ◽  
Compound Poisson Process ◽  
System Size ◽  
Production Facility ◽  
Manufacturing Facility ◽  
Multiple Vacation ◽  
Long Run ◽  
Supplementary Variables

We consider a manufacturing system which takes vacation and subjects to breakdown. Items arrive to the production facility according to a compound Poisson process. Using supplementary variables we determine the probability generating function (p.g.f) of the system size. Under the Long Run Average Cost formulation, we show that the optimal vacation policy is either single or multiple vacation policy.

A bivariate optimal replacement policy for a repairable system

1994 ◽  
Vol 31 (4) ◽  
pp. 1123-1127 ◽  
Author(s):  
Yuan Lin Zhang
Keyword(s):  
Explicit Expression ◽  
Average Cost ◽  
Replacement Policy ◽  
Repairable System ◽  
Optimal Replacement ◽  
Long Run ◽  
Optimal Replacement Policy ◽  
Working Age ◽  
Better Than

In this paper, a repairable system consisting of one unit and a single repairman is studied. Assume that the system after repair is not as good as new. Under this assumption, a bivariate replacement policy (T, N), where T is the working age and N is the number of failures of the system is studied. The problem is to determine the optimal replacement policy (T, N)∗such that the long-run average cost per unit time is minimized. The explicit expression of the long-run average cost per unit time is derived, and the corresponding optimal replacement policy can be determined analytically or numerically. Finally, under some conditions, we show that the policy (T, N)∗ is better than policies N∗ or T∗.

Optimal repair/replacement policy for a general repair model

2001 ◽  
Vol 33 (1) ◽  
pp. 206-222 ◽  
Author(s):  
Xiaoyue Jiang ◽  
Viliam Makis ◽  
Andrew K. S. Jardine
Keyword(s):  
Average Cost ◽  
Failure Time ◽  
Operating Time ◽  
Replacement Policy ◽  
Repair Cost ◽  
Virtual Age ◽  
Preventive Replacement ◽  
Long Run ◽  
Special Cases ◽  
Cost Limit

In this paper, we study a maintenance model with general repair and two types of replacement: failure and preventive replacement. When the system fails a decision is made whether to replace or repair it. The repair degree that affects the virtual age of the system is assumed to be a random function of the repair-cost and the virtual age at failure time. The system can be preventively replaced at any time before failure. The objective is to find the repair/replacement policy minimizing the long-run expected average cost per unit time. It is shown that a generalized repair-cost-limit policy is optimal and the preventive replacement time depends on the virtual age of the system and on the length of the operating time since the last repair. Computational procedures for finding the optimal repair-cost limit and the optimal average cost are developed. This model includes many well-known models as special cases and the approach provides a unified treatment of a wide class of maintenance models.

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