Optimal age-replacement policy with age-dependent minimal-repair and random-leadtime

2001 ◽  
Vol 50 (3) ◽  
pp. 302-309 ◽  
Author(s):  
Shey-Huei Sheu ◽  
W.S. Griffith
Keyword(s):  
Replacement Policy ◽  
Minimal Repair ◽  
Age Dependent ◽  
Age Replacement

Age Replacement Policy With Age-Dependent Minimal Repair*

1986 ◽  
Vol 24 (1) ◽  
pp. 26-32 ◽  
Author(s):  
Menachem Berg ◽  
Michel Bdenvenu ◽  
Robert Cleroux
Keyword(s):  
Replacement Policy ◽  
Minimal Repair ◽  
Age Dependent ◽  
Age Replacement

A modified block replacement policy with two variables and general random minimal repair cost

1996 ◽  
Vol 33 (2) ◽  
pp. 557-572 ◽  
Author(s):  
Shey-Huei Sheu
Keyword(s):  
Operating System ◽  
Replacement Policy ◽  
Repair Cost ◽  
Minimal Repair ◽  
Expected Cost ◽  
Cost Rate ◽  
Age Dependent ◽  
Modified Block ◽  
The Cost ◽  
Random Part

This paper considers a modified block replacement with two variables and general random minimal repair cost. Under such a policy, an operating system is preventively replaced by new ones at times kT (k= 1, 2, ···) independently of its failure history. If the system fails in [(k − 1)T, (k − 1)T+ T0) it is either replaced by a new one or minimally repaired, and if in [(k − 1) T + T0, kT) it is either minimally repaired or remains inactive until the next planned replacement. The choice of these two possible actions is based on some random mechanism which is age-dependent. The cost of the ith minimal repair of the system at age y depends on the random part C(y) and the deterministic part ci (y). The expected cost rate is obtained, using the results of renewal reward theory. The model with two variables is transformed into a model with one variable and the optimum policy is discussed.

AN OPPORTUNITY-BASED AGE REPLACEMENT POLICY CONSIDERING WARRANTY

1999 ◽  
Vol 06 (03) ◽  
pp. 229-236 ◽  
Author(s):  
BERMAWI P. ISKANDAR ◽  
HIROAKI SANDOH
Keyword(s):  
Time Distribution ◽  
Failure Time ◽  
Sufficient Conditions ◽  
Replacement Policy ◽  
Minimal Repair ◽  
Failure Time Distribution ◽  
Warranty Period ◽  
Preventive Replacement ◽  
Long Run ◽  
Age Replacement

This study discusses an opportunity-based age replacement policy for a system which has a warranty period (0, S]. When the system fails at its age x≤S, a minimal repair is performed. If an opportunity occurs to the system at its age x for S<x<T, we take the opportunity with probability p to preventively replace the system, while we conduct a corrective replacement when it fails on (S, T). Finally if its age reaches T, we execute a preventive replacement. Under this replacement policy, the design variable is T. For the case where opportunities occur according to a Poisson process, a long-run average cost of this policy is formulated under a general failure time distribution. It is, then, shown that one of the sufficient conditions where a unique finite optimal T* exists is that the failure time distribution is IFR (Increasing Failure Rate). Numerical examples are also presented for the Weibull failure time distribution.

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.

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