Mathematical model for the deterministic extended machine replacement policy

A generalization of the block replacement policy (BRP) is proposed and analysed. Under such a policy, an operating system is preventively replaced at times kT (k = 1, 2, 3, ···), independently of its failure history. At failure an operating system is either replaced by a new or a used one or minimally repaired or remains inactive until the next planned replacement. The cost of the ith minimal repair of the new subsystem at age y depends on the random part C(y) and the deterministic part ci (y). The mathematical model is defined and general analytical results are obtained.

Download Full-text

A mathematical model for the joint optimization of machining conditions and tool replacement policy with stochastic tool life in the milling process

The International Journal of Advanced Manufacturing Technology ◽

10.1007/s00170-018-1683-9 ◽

2018 ◽

Vol 96 (5-8) ◽

pp. 2319-2339 ◽

Cited By ~ 4

Author(s):

Arash Zaretalab ◽

Hamidreza Shahabi Haghighi ◽

Saeed Mansour ◽

Mohsen S. Sajadieh

Keyword(s):

Mathematical Model ◽

Tool Life ◽

Milling Process ◽

Replacement Policy ◽

Joint Optimization ◽

Machining Conditions ◽

Tool Replacement

Download Full-text

Optimal block replacement policies with multiple choice at failure

Journal of Applied Probability ◽

10.2307/3214797 ◽

1992 ◽

Vol 29 (1) ◽

pp. 129-141 ◽

Cited By ~ 23

Author(s):

Shey-Huei Sheu

Keyword(s):

Operating System ◽

Mathematical Model ◽

Multiple Choice ◽

Replacement Policy ◽

Minimal Repair ◽

Analytical Results ◽

The Cost ◽

Random Part ◽

The Mathematical Model

A generalization of the block replacement policy (BRP) is proposed and analysed. Under such a policy, an operating system is preventively replaced at times kT (k = 1, 2, 3, ···), independently of its failure history. At failure an operating system is either replaced by a new or a used one or minimally repaired or remains inactive until the next planned replacement. The cost of the ith minimal repair of the new subsystem at age y depends on the random part C(y) and the deterministic part ci(y). The mathematical model is defined and general analytical results are obtained.

Download Full-text