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Singh, Neetu
- Recent Developments in Mathematical Analysis of Queues for Machine Repair Problem:A Short Survey
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Authors
Neetu Singh
1,
Savita Rani
2
Affiliations
1 Department of Applied Sciences, World College of Technology and Management, Gurgaon, Haryana, IN
2 Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, IN
1 Department of Applied Sciences, World College of Technology and Management, Gurgaon, Haryana, IN
2 Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, IN
Source
International Journal of Knowledge Based Computer System, Vol 6, No 1 (2018), Pagination: 23-29Abstract
The present paper is based on survey of machine repair problem (MRP). We have reviewed machine repair problems studied by many researchers and given some basic performance characteristic of queuing models. A bunch of work has been previously done on this front from past since it is realistic phenomena of many service systems. The current investigation presents a brief review of the major works done on machine repair problem (MRP) in past years. The bibliography consists of research articles which were published in journals of repute during the period 1994-2015. While determining the performance of any machining system, the main aim of decision makers or entrepreneurs is to get the maximum profit and reduce the inconvenience due to delay in service to the users; these objectives can be achieved by proper scheduling of the system. The main aim of this survey paper is to analyze various problems related to machine repair problem. We have tried to collect important results in the theory of machine repair problem and hope this will help other researchers to study such kind of problems.Keywords
Machine Repair Problem (MRP), Queuing Models, Busy Cycle, Performance Indices, Standbys.
References
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- Service Halt in Repairable Redundant Machining System with Degraded Failure and Set-up
Abstract Views :153 |
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Authors
Affiliations
1 World College of Technology and Management, Gurugram, Haryana, IN
1 World College of Technology and Management, Gurugram, Haryana, IN
Source
International Journal of Knowledge Based Computer System, Vol 6, No 2 (2018), Pagination: 1-7Abstract
In the present paper we study single server machining system having operating as well as mixed standby units. The service station is subject to breakdown while in operation. The life times and repair times of the failed units and service station are assumed to be exponentially distributed. The set up time for the repairing of service station is also exponentially distributed. In case when all standby units are exhausted, the system may also operate in degraded mode with less than M operating units, which are required for normal functioning of the system. We employ recursive method to obtain the steady state probability distribution of the number of failed units in the system. The performance indices such as expected number of failed units in the system, average waiting time, throughput, etc. are obtained in closed form in terms of probabilities.Keywords
Degraded Failure, Machine Repair, Mixed Standby, Queue Size, Recursive Method, Set Up.References
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