A Numerical Approach to the Repairman Problem with Two Different Types of Machine
In this paper we deal with a heterogeneous machine-interference model under the assumption that the priority machines have pre-emptive priority over the ordinary ones. In each group, machines are characterized by exponentially distributed failure and repair times with different rates. The failed mac...
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Veröffentlicht in: | The Journal of the Operational Research Society 1989-09, Vol.40 (9), p.797-803 |
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creator | Pósafalvi, A. Sztrik, J. |
description | In this paper we deal with a heterogeneous machine-interference model under the assumption that the priority machines have pre-emptive priority over the ordinary ones. In each group, machines are characterized by exponentially distributed failure and repair times with different rates. The failed machines are served by a single repairman according to FIFO discipline. The aim of the paper is to give the steady-state operational characteristics of the system, such as operative utilization, expected busy-period length, machine availability, mean waiting times and average number of failed machines. Finally, numerical examples illustrate the problem in question. |
doi_str_mv | 10.1057/jors.1989.142 |
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In each group, machines are characterized by exponentially distributed failure and repair times with different rates. The failed machines are served by a single repairman according to FIFO discipline. The aim of the paper is to give the steady-state operational characteristics of the system, such as operative utilization, expected busy-period length, machine availability, mean waiting times and average number of failed machines. Finally, numerical examples illustrate the problem in question.</description><identifier>ISSN: 0160-5682</identifier><identifier>EISSN: 1476-9360</identifier><identifier>DOI: 10.1057/jors.1989.142</identifier><identifier>CODEN: JORSDZ</identifier><language>eng</language><publisher>London: Taylor & Francis</publisher><subject>Applied sciences ; Business and Management ; Exact sciences and technology ; failure time ; machine availability ; Machinery ; Maintenance management ; Management ; Mathematical models ; Operational research and scientific management ; Operational research. Management science ; Operations research ; Operations Research/Decision Theory ; operative utilization ; Profit per unit ; Queuing theory. Traffic theory ; repairman problem ; Repairs ; Theoretical Paper ; Theoretical Papers</subject><ispartof>The Journal of the Operational Research Society, 1989-09, Vol.40 (9), p.797-803</ispartof><rights>Copyright © 1989, Operational Research Society 1989</rights><rights>Copyright 1989 The Operational Research Society Limited</rights><rights>Operational Research Society 1989</rights><rights>1990 INIST-CNRS</rights><rights>Copyright Palgrave Macmillan Limited Sep 1989</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4102-e973db096f972d7f5c7dc39806f16568e37273f81541e6ff4dab4ed10b1d34ff3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/2583061$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/2583061$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,780,784,803,27869,27924,27925,58017,58250</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=6802682$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Pósafalvi, A.</creatorcontrib><creatorcontrib>Sztrik, J.</creatorcontrib><title>A Numerical Approach to the Repairman Problem with Two Different Types of Machine</title><title>The Journal of the Operational Research Society</title><addtitle>J Oper Res Soc</addtitle><description>In this paper we deal with a heterogeneous machine-interference model under the assumption that the priority machines have pre-emptive priority over the ordinary ones. In each group, machines are characterized by exponentially distributed failure and repair times with different rates. The failed machines are served by a single repairman according to FIFO discipline. The aim of the paper is to give the steady-state operational characteristics of the system, such as operative utilization, expected busy-period length, machine availability, mean waiting times and average number of failed machines. Finally, numerical examples illustrate the problem in question.</description><subject>Applied sciences</subject><subject>Business and Management</subject><subject>Exact sciences and technology</subject><subject>failure time</subject><subject>machine availability</subject><subject>Machinery</subject><subject>Maintenance management</subject><subject>Management</subject><subject>Mathematical models</subject><subject>Operational research and scientific management</subject><subject>Operational research. Management science</subject><subject>Operations research</subject><subject>Operations Research/Decision Theory</subject><subject>operative utilization</subject><subject>Profit per unit</subject><subject>Queuing theory. 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Management science</topic><topic>Operations research</topic><topic>Operations Research/Decision Theory</topic><topic>operative utilization</topic><topic>Profit per unit</topic><topic>Queuing theory. 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subjects | Applied sciences Business and Management Exact sciences and technology failure time machine availability Machinery Maintenance management Management Mathematical models Operational research and scientific management Operational research. Management science Operations research Operations Research/Decision Theory operative utilization Profit per unit Queuing theory. Traffic theory repairman problem Repairs Theoretical Paper Theoretical Papers |
title | A Numerical Approach to the Repairman Problem with Two Different Types of Machine |
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