Optimal age-replacement model with age-dependent type of failure and random lead time based on a cumulative repair-cost limit policy

2010 ◽  
Vol 181 (1) ◽  
pp. 723-744 ◽  
Author(s):  
Yu-Hung Chien ◽  
Chin-Chih Chang ◽  
Shey-Huei Sheu
Keyword(s):  
Lead Time ◽  
Repair Cost ◽  
Replacement Model ◽  
Age Dependent ◽  
Random Lead Time ◽  
Age Replacement ◽  
Type Of Failure ◽  
Cost Limit ◽  
Dependent Type

A Note on Pseudodynamic Cost Limit Replacement Model

1998 ◽  
Vol 05 (03) ◽  
pp. 287-292 ◽  
Author(s):  
Chung Hyeon Choi ◽  
Won Young Yun
Keyword(s):  
Replacement Policy ◽  
Repair Cost ◽  
Numerical Examples ◽  
Cost Rate ◽  
Replacement Model ◽  
Mean Cost ◽  
Cost Limit ◽  
Better Than

In this note, a pseudodynamic cost limit replacement policy presented by Park1 is considered. Park1 showed that the pseudodynamic policy is inferior to constant repair cost limit policy. In this note, the correct mean cost rate under the same assumption in the Park's model is obtained and the pseudodynamic policy is shown to be better than the constant repair cost limit policy2 through the same numerical examples of Park.1

A Generalized Age Replacement Model in the Presence of Inventory Constraints

1997 ◽  
Vol 04 (04) ◽  
pp. 395-412
Author(s):  
Shey-Huei Sheu
Keyword(s):  
Inventory Model ◽  
Minimal Repair ◽  
Special Cases ◽  
Replacement Model ◽  
Inventory Constraints ◽  
Realistic Assumption ◽  
Age Dependent ◽  
Unlimited Supply ◽  
Age Replacement ◽  
Replacement Problem

Many authors in the literature have studied the age replacement problem and its various modifications. One, generally, is asked to assume that at any time there is an unlimited supply of items available for replacement. This is often not a very realistic assumption. In this article we will examine a generalized age replacement model with age-dependent minimal repair when replacements are constrained by two simple inventory model. Various special cases are included. A numerical example is given to illustrate the method.

REPLACEMENT MODEL WITH CUMULATIVE REPAIR COST LIMIT FOR A TWO-UNIT SYSTEM UNDER FAILURE RATE INTERACTION BETWEEN UNITS

2012 ◽  
Vol 19 (05) ◽  
pp. 1250023 ◽  
Author(s):  
MIN-TSAI LAI
Keyword(s):  
Failure Rate ◽  
Replacement Policy ◽  
Repair Cost ◽  
Unit System ◽  
Model Combining ◽  
Long Run ◽  
Replacement Model ◽  
Rate Interaction ◽  
Failure Rate Interaction ◽  
Cost Limit

In this paper, a periodical replacement model combining the concept of cumulative repair cost limit for a two-unit system with failure rate interaction is presented. In this model, whenever unit 1 fails, it causes a certain amount of damage to unit 2 by increasing the failure rate of unit 2 of a certain degree. Unit 2 failure whenever occurs causes unit 1 into failure at the same time and then the total failure of the system occurs. Without failure rate interaction between units, the failure rates of two units also increase with age. When unit 1 fails, the necessary repair cost is estimated and is added to the accumulated repair cost. If the accumulated repair cost is less than a pre-determined limit L, unit 1 is corrected by minimal repair. Otherwise, the system is preventively replaced by a new one. Under periodical replacement policy and cumulative repair cost limit, the long-run expected cost per unit time is derived by introducing relative costs as a criterion of optimality. The optimal period T* which minimizes that cost is discussed. A numerical example is given to illustrate the method.

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