Hierarchical Production Planning in a Stochastic Manufacturing System with Long-Run Average Cost: Asymptotic Optimality and Error Bounds

1998 ◽  
Author(s):  
Suresh Sethi ◽  
Hanqin Zhang ◽  
Qing Zhang
Keyword(s):  
Production Planning ◽  
Error Bounds ◽  
Average Cost ◽  
Manufacturing System ◽  
Asymptotic Optimality ◽  
Hierarchical Production Planning ◽  
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.

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