| COST BENEFIT ANALYSIS OF REPAIRABLE SYSTEMS SUBJECT TO SLOW SWITCH: A STATE OF THE ART SURVEY |
25 MAR 1986 |
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| Authors:
M.N. GOPALAN; R. Radhakrishnan
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 | RELIABILITY ANALYSIS OF SYSTEMS WITH STANDBYS AND REPAIR HAS DRAWN THE ATTENTION OF MANY WORKERS IN THE FIELD. STUDIES OF RELIABILITY CHARACTERISTICS OF SYSTEMS ARE OFTEN MADE ASSUMING THAT THE SUBSYSTEM IN STANDBY IS INSTANTANEOUSLY PUT INTO THE ACTIVE STATE UPON FAILURE OF THE ACTIVE SUBSYSTEM. THIS ASSUMPTION MAY NOT BE REALISTIC IN CERTAIN COMPLEX SYSTEMS, BECAUSE BRINGING A SYSTEM IN STANDBY TO THE ACTIVE STATE MAY CONSIST OF A ... |
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| COST BENEFIT ANALYSIS OF A N-UNIT TWO SERVER SYSTEM WITH PREVENTIVE MAINTENANCE |
27 FEB 1986 |
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| Authors:
M.N. GOPALAN; H.E. NAGARWALLA
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A 1 OUT OF N:G SYSTEM WITH TWO SERVERS, ONE FOR PREVENTIVE MAINTENANCE (PM) AND ONE FOR REPAIR. ALL STANDBY UNITS ARE COLD. AN OPERATING UNIT IS TAKEN OFF FOR REPAIR WHEN IT FAILS OR FOR PM WHEN A PM ACTION IS DUE. IF A UNIT THAT NEEDS SERVICE (PM OR REPAIR) FINDS THE CORRESPONDING SERVER BUSY IT ENTERS A FIRST ... |
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| COST BENEFIT ANALYSIS OF A ONE OUT OF N:G SYSTEM WITH REPAIR AND PREVENTIVE MAINTENANCE |
06 FEB 1986 |
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| Authors:
M.N. GOPALAN; H.E. NAGARWALLA
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A 1 OUR OF N:G SYSTEM. THE SYSTEM CONSISTS OF N-IDENTICAL UNITS. INITIALLY, ONE UNIT IS PLACED IN OPERATION AND THEREMAINING (-1) IN COLD STANDBY. THE OPERATING UNIT IS TAKEN OFF WHEN IT EITHER FAILS OR IS DUE FOR PREVENTIVE MAINTENANCE (PM). A STANDBY, IF AVAILABLE, TAKES ITS PLACE. IF NO STANDBY IS AVAILABLE WHEN AN OPERATING UNIT IS TAKEN OFF, ... |
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| HIGHER MOMENTS IN COST BENEFIT ANALYSIS |
21 JAN 1986 |
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| Authors:
M.N. GOPALAN; S.S. WAGHMARE
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| THIS PAPER DISCUSSES THE HIGHER MOMENTS OF THE VARIABLES INVOLVED IN THE COST BENEFIT ANALYSIS OF STOCHASTIC SYSTEMS. THE DISCUSSION IS ILLUSTRATED WITH THE HELP OF A SYSTEM WITH IMPERFECT SWITCH. |
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| COST BENEFIT ANALYSIS OF A ONE SERVER TWO UNIT SYSTEM SUBJECT TO SHOCK AND DEGRADATION |
21 JAN 1986 |
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| Authors:
M.N. GOPALAN; T.K. RAMESH
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF 1 SERVER 2 UNIT SYSTEM SUBJECT TO TWO MODES OF FAILURE, NAMELY, SHOCK AND DEGRADATION. INITIALLY, ONE UNIT STARTS OPERATING AND THE OTHER IS KEPT AS COLD STANDBY. THE TYPE OF REPAIR A UNIT UNDERGOES DEPENDS UPON THE NATURE OF ITS FAILURE. THE VARIOUS ESSENTIAL CHARACTERISTICS OF THE SYSTEM HAVE BEEN FOUND OUT TO CARRY OUT THE COST BENEFIT ANALYSIS. |
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| COST BENEFIT ANALYSIS AND JOINT AVAILABILITY MEASURES |
05 DEC 1985 |
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| Authors:
M.N. GOPALAN; S.S. WAGHMARE
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| THE PURPOSE OF PRESENT PAPER IS TO DISCUSS COST BENEFIT ANALYSIS OF STOCHASTIC SYSTEMS WHEN THE REVENUE DEPENDS ON THE AVAILABILITY OF THE SYSTEM AT MORE THAN ONE POINT. ONE NEEDS TO OBTAIN JOINT AVAILABILITY MEASURE IN ORDER TO EVALUATE EXPECTED NET GAIN IN THIS CASE. THE ANALYSIS IS ILLUSTRATED WITH THE HELP OF A PARTICULAR MULTI STATE STOCHASTIC SYSTEM WITH IMPERFECT SWITCH. |
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| ANALYSIS OF ONE SERVER N-UNIT PARALLEL SYSTEM SUBJECT TO DIFFERENT SERVICE STRATEGIES |
02 OCT 1985 |
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| Authors:
M.N. GOPALAN; T.K. RAMESH
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF ONE SERVER N-UNIT PARALLEL SYSTEM SUBJECT TO DIFFERENT SERVICE STRATEGIES. AT 0, ALL THE UNITSUNITS ARE SWITCHED ON. THE REPAIR TIMES OF THE UNITS ARE ARBITRARILY DISTRIBUTED, WHILE THE FAILURE RATES OF THE UNITS ARE CONSTANTS. THE SYSTEM IS ANALYSED BY WRITING INTEGRAL EQUATIONS FOR THE PROBABILITIES OF THE SYSTEM BEING FOUND IN VARIOUS STATES BY IDENTIFYING THE SYSTEM AT SUITABLE ... |
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| COST BENEFIT ANALYSIS OF A ONE SERVER TWO NONIDENTICAL UNIT COLD STANDBY SYSTEM WITH REPAIR AND PREVENTIVE MAINTENANCE |
19 JUN 1985 |
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| Authors:
M.N. GOPALAN; H.E. NAGARWALL
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| THE PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A ONE SERVER TWO NONIDENTICAL UNIT COLD STANDBY SYSTEM WITHREPAIR AND PREVENTIVE MAINTENANCE (PM). THE SYSTEM CONSISTS OF TWO UNITS, ONE MAIN UNIT AND ONE SECONDARY UNIT. IF BOTH UNITS ARE UP, THE MAIN UNIT IS ALWAYS IN OPERATION AND THE SECONDARY UNIT IS IN COLD STANDBY. THE SECONDARY UNIT OPERATES ONLY WHEN THE MAIN UNIT IS TAKEN OFF FOR REPAIR ... |
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| ON THE EXPECTED REVENUE OF A TWO UNIT SYSTEM SUPPORTED BY INDEPENDENT SERVICE FACILITIES FOR INSTALLATION AND REPAIR |
19 JUN 1985 |
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| Authors:
M.N. GOPALAN; R. Radhakrishnan
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| THIS PAPER CONSIDERS A TWO UNIT REPAIRABLE SYSTEM PROVIDED WITH INDEPENDENT SERVICE FACILITIES TO INSTALL AND REPAIR A UNIT. THE SYSTEM IS ANALYSED UNDER THE POLICY THAT THE STANDBY UNIT IS REPLACED BY THE BASIC UNIT, ONCE ITS REPAIR IS COMPLETED. THE FAILURE TIMES OF THE UNITS ARE ASSUMED TO BE EXPONENTIALLY DISTRIBUTED WHILE THE INSTALLATION TIMES AND THE REPAIR TIMES OF THE UNITSARE NON-NEGLIGIBLE AND ARBITRARILY DISTRIBUTED. THE SYSTEM ... |
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| ON THE EXPECTED NET REVENUE OF A ONE SERVER TWO UNIT SYSTEM WITH ARBITRARY INSTALLATION TIME |
11 JUN 1985 |
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| Authors:
M.N. GOPALAN; R. Radhakrishnan
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| THIS PAPER CONSIDERS A TWO UNIT COLD STANDY REPAIRABLE SYSTEM SUBJECT TO SLOW SWITCH UNDER THE ASSUMPTION THAT THE STANDBY UNIT IS REPLACED IF THE BASIC UNIT IS READY FOR OPERATION AFTER REPAIR AND INSTALLATION. THE FAILURE RATES OF THE UNITS ARE ASSUMED TO BE CONSTANTS WHILE THE INSTALLATION TIMES AND THE REPAIR TIME OF THE UNITS ARE NON-NEGLIGIBLE AND ARE ARBITRARILY DISTRIBUTED. THE SYSTEM IS CHARACTERIZED BY THE PROBABILITY ... |
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| COST BENEFIT ANALYSIS OF A ONE SERVER TWO UNIT COLD STANDBY SYSTEM WITH REPAIR AND AGE REPLACEMENT |
13 MAY 1985 |
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| Authors:
M.N. GOPALAN; H.E. NAGARWALLA
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A ONE SERVER TWO IDENTICAL UNIT COLD STANDBY SYSTEM WITH REPAIR AND PREVENTIVE MAINTENANCE (PM). THE PM IS OF THE AGE REPLACEMENT TYPE, WHERE, IF A UNIT HAS BEEN IN OPERATION FOR A CERTAIN PERIOD OF TIME, WHICH MAY BE A RANDOM VARIABLE, AND IF THE OTHER UNIT IS IN STANDBY, THE OPERATING UNIT IS TAKEN OFF FOR PM. THE EXPECTED ... |
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| COST BENEFIT ANALYSIS OF ONE SERVER TWO UNIT IMPERFECT SWITCH SYSTEM WITH DEGRADATION |
16 APR 1985 |
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| Authors:
M.N. GOPALAN; S.S. WAGHMARE
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF 1 SERVER 2 UNIT SYSTEM WITH IMPERFECT SWITCH WHERE THE ITEMS (UNITS/SWITCH) ARE NOT "AS GOOD AS NEW" AFTER THE REPAIR. THE SUCCESSIVE REPAIR TIMES OF EACH ITEM ARE ARBITRARILY DISTRIBUTED WHILE THE SUCCESSIVE FAILURE RATES ARE CONSTANTS. IF REPAIR OF A UNIT IS NOT POSSIBLE IT IS DISCARDED INCURRING SOME SALVAGE VALUE. AFTER A FIXED NUMBER OF FAILURES THE UNIT ... |
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| COST BENEFIT ANALYSIS OF ONE SERVER TWO UNIT PARALLEL SYSTEM SUBJECT TO RANDOM SERVICE |
16 APR 1985 |
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| Authors:
M.N. GOPALAN; T.K. RAMESH
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A 1 SERVER 2 DISSIMILAR PARALLEL UNIT SYSTEM. AT T = 0, BOTH THE UNITS ARE SWITCHED ON. THE REPAIR TIMES OF THE UNITS ARE ARBITRARILY DISTRIBUTED, WHILE THE FAILURE RATES OF THE UNITS ARE CONSTANTS. THE SYSTEM IS ANALYSED BY WRITING INTEGRAL EQUATIONS FOR THE PROBABILITIES OF THE SYSTEM BEING FOUND IN VARIOUS STATES BY IDENTIFYING THE SYSTEM AT SUITABLE ... |
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| STOCHASTIC ANALYSIS OF A TWO UNIT ADAPTIVE SYSTEM SUBJECT TO SLOW SWITCH WITH RANDOM SERVICE |
21 MAR 1985 |
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| Authors:
R. Radhakrishnan; M.N. GOPALAN
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| THIS PAPER CONSIDERS A TWO UNIT REPAIRABLE SHARED PARALLEL SYSTEM WITH SINGLE SERVICE FACILITY AVAILABLE AT RANDOM. INITIALLY, BOTH THE UNITS SHARE THE TOTAL LOAD EQUALLY AND WHEN ONE UNIT FAILS IT GOES FOR REPAIR. SIMULTANEOUSLY, THE OTHER SURVIVING UNIT TAKES OVER THE ENTIRE LOAD UNTIL THE REPAIR IS COMPLETED AND THE REPAIRED UNIT IS READY FOR OPERATION AFTER INSTALLATION. THE INSTALLATION TIME IS ASSUMED TO BE NON-NEGLIGIBLE. FAILURE RATE ... |
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| COST BENEFIT ANALYSIS OF ONE SERVER TWO UNIT REPLACEMENT SYSTEM WITH IMPERFECT SWITCH |
11 MAR 1985 |
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| Authors:
M.N. GOPALAN; S.S. WAGHMARE
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| THE PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A ONE SERVER TWO UNIT SYSTEM WITH IMPERFECT SWITCH WHERE THE UNIT, IF AVAILABLE, IS PREFERRED TO THE STANDBY. THE REPAIR TIME OF AN ITEM (UNIT/STANDBY/SWITCH) IS ARBITRARILY DISTRIBUTED WHILE FAILURE RATE OF AN ITEM IS CONSTANT. INITIALLY, THE UNIT IS SWITCHED ON (SWITCH IS WORKING AT T=0). THE REPAIR OF THE SWITCH IS GIVEN PREFERENCE AFTER THE CURRENT REPAIR OF ... |
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| COST BENEFIT ANALYSIS OF A TWO UNIT ADAPTIVE SYSTEM SUBJECT TO SLOW SWITCH WITH RANDOM SERVICE |
06 MAR 1985 |
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| Authors:
R. Radhakrishnan; M.N. GOPALAN
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| THE PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A TWO UNIT ADAPTIVE SYSTEM WITH RANDOM SERVICE FACILITY SUBJECT TO SLOW SWITCH. TWO MODELS OF SYSTEM FUNCTIONING ARE STUDIED HERE. IN MODEL 1, THE DISTRIBUTION OF THE SWITCHOVER TIME IS EXPONENTIAL, WHILE IN MODEL 2, THE DISTRIBUTIONS OF REPAIR TIMES ARE EXPONENTIAL. IN BOTH THE MODELS, IT IS ASSUMED THAT THE FAILURE RATE OF A UNIT, WHEN IT IS OPERATING ... |
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| COST BENEFIT ANALYSIS OF A ONE SERVER TWO UNIT IMPERFECT SWITCH SYSTEM WITH DELAYED REPAIR |
27 FEB 1985 |
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| Authors:
M.N. GOPALAN; S.S. WAGHMARE
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A ONE SERVER TWO UNIT SYSTEM WITH IMPERFECT SWITCH WHERE THE SERVER IS SUMMONED UPON FAILURE OF AN ITEM (I.E. UNIT OR SWITCH). THE AMOUNT OF TIME THE SERVER TAKES TO ARRIVE IS A RANDOM VARIABLE, DISTRIBUTED ARBITRARILY. THE SERVER LEAVES WHEN THERE IS NO ITEM WAITING FOR REPAIR. THE REPAIR TIMES ARE ARBITRARILY DISTRIBUTED WHEREAS ALL FAILURE RATES ARE CONSTANT. ... |
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| STOCHASTIC ANALYSIS OF ONE SERVER TWO UNIT ADAPTIVE SYSTEM WITH SLOW SWITCH |
23 JAN 1985 |
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| Authors:
M.N. GOPALAN; R. Radhakrishnan
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| THIS PAPER CONSIDERS A TWO UNIT REPAIRABLE SHARED PARALLEL SYSTEM WITH SINGLE SERVICE FACILITY. INITIALLY, BOTH THE UNITS SHARE THE TOTAL LOAD EQUALLY AND WHEN ONE UNIT FAILS, IT GOES FOR REPAIR. SIMULTANEOULSY, THE OTHER SURVIVING UNIT TAKES OVER THE ENTIRE LOAD UNTIL THE REPAIR IS COMPLETED AND THE REPAIRED UNIT IS READY FOR OPERATION AFTER INSTALLATION. THE INSTALLATION TIME IS ASSUMED TO BE NONNEGLIGIBLE. FAILURE RATE OF A UNIT ... |
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| COST BENEFIT ANALYSIS OF ONE SERVER TWO UNIT SYSTEM WITH IMPERFECT SWITCH |
08 JAN 1985 |
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| Authors:
M.N. GOPALAN; S.S. WAGHMARE
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A ONE SERVER TWO UNIT SYSTEM SUBJECT TO IMPERFECT SWITCH. THE REPAIR TIMES OF A UNIT AND THE SWITCH ARE ASSUMED TO BE ARBITRARILY DISTRIBUTED WHILE THE FAILURE RATE OF A UNIT AND THE SWITCH ARE CONSTANTS. INITIALLY, ONE UNIT IS SWITCHED ON (SWITCH IS WORKING AT T=0) AND THE OTHER IS KEPT AS COLD STANDBY. THE SYSTEM BREAKS DOWN WHEN ... |
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| COST BENEFIT ANALYSIS OF A TWO UNIT SYSTEM SUBJECT TO RANDOM SERVICE |
22 NOV 1984 |
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| Authors:
M.N. GOPALAN; R. Radhakrishnan
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| IN THIS PAPER, A TWO UNIT COLD STANDBY SYSTEM IS CONSIDERED. TWO MODELS OF SYSTEM FUNCTIONING ARE STUDIED HE RE. IN MODEL 1 THE UNITS ARE NON-IDENTICAL, WHILE IN MODEL 2, THEY ARE IDENTICAL. IN BOTH THE MODELS, IT IS ASSUMED THAT THE DISTRIBUTION OF THE FAILURE TIME, THE SWITCHOVER TIME AND THE THE REPAIR TIME OF THE UNITS ARE ARBITRARILY DISTRIBUTED. FURTHER, THE SERVICE FACILITY IS USED BOTH TO ... |
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| STOCHASTIC ANALYSIS OF A ONE SERVER TWO UNIT (DISSIMILAR) SYSTEM SUBJECT TO SLOWSWITCH |
15 NOV 1984 |
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| Authors:
M.N. GOPALAN; R. Radhakrishnan
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| THE PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A ONE SERVER TWO UNIT SYSTEM SUBJECT TO SLOW SWITCH. THE FAIURE TIMES OF THE UNITS, THE REPAIR TIMES AND THE SWITCHOVER (INSTALLATION) TIMES ARE ASSUMED TO BE ARBITRARILY DISTRIBUTED. THE ROLE OF THE SERVER IS NOT ONLY TO REPAIR A FAILED UNIT BUT ALSO TO INSTALL THE STANDBY WHENEVER REQUIRED. INSTALLATION WORK GETS PRIORITY OVER REPAIR. THE SYSTEM IS ANALYSED ... |
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| ON THE STOCHASTIC BEHAVIOUR OF A ONE SERVER N-UNIT SYSTEM SUBJECT TO RANDOM INSPECTION |
14 NOV 1984 |
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| Authors:
R.S. NAIDU; M.N. GOPALAN
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| THE STOCHASTIC BEHAVIOUR OF A SINGLE SERVER N-UNIT SYSTEM HAS BEEN INVESTIGATED SUBJECT TO DIFFERENT SERVICE STRATEGIES. THE ANALYSIS IS CARRIED OUT UNDER THE SUPPOSITION THAT THE FAILURE TIME OF A UNIT IS EXPONENTIALLY DISTRIBUTED WHILE ALL THE OTHER TIME DISTRIBUTIONS INVOLVED ARE ARBITRARY. AT ANY INSTANT T, THE SYSTEM IS CHARACTERIZED BY THE PROBABILITIES OF ITS BEING IN THE "UP" OR "DOWN" STATE. INTEGRAL EQUATIONS FOR THESE PROBABILITIES HAVE ... |
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| ANALYSIS OF A TWO UNIT SYSTEM SUBJECT TO REPAIR AND PREVENTIVE MAINTENANCE WITH NON LINEAR REVENUE AND COSTS |
04 OCT 1984 |
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| Authors:
M.N. GOPALAN; H.E. NAGARWALL
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| THE COST BENEFIT ANALYSIS OF A ONE SERVER TWO IDENTICAL UNIT COLD STANDBY SYSTEM SUBJECT TO REPAIR AND PREVENTIVE MAINTENANCE (PM) WITH NON LINEAR REVENUE AND COSTS IS PRESENTED IN THIS PAPER. INITIALLY, ONE UNIT IS IN OPERATION AND THE OTHER IS COLD STANDBY. WHEN A UNIT FAILS, IT IS TAKEN UP FOR REPAIR OR WAITS FOR REPAIR IF THE SERVER IS BUSY. THE LATTER RESULTS IN A SYSTEM BREAKDOWN. ... |
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| COST BENEFIT ANALYSIS OF A ONE SERVER TWO UNIT COLD STANDBY SYSTEM WITH REPAIR AND PREVENTIVE MAINTENANCE |
28 AUG 1984 |
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| Authors:
M.N. GOPALAN; H.E. NAGARWALLA
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A ONE SERVER TWO IDENTICAL UNIT COLD STANDBY SYSTEM WITH REPAIR AND PREVENTIVE MAINTENANCE (PM). THE PM IS OF THE TYPE WHERE THE OPERATING UNIT IS TAKEN UP FOR PM WHENEVER THE OTHER UNIT IS AVAILABLE FOR OPERATION. INITIALLY, ONE UNIT IS PLACED IN OPERATION AND THE OTHER UNIT IS KEPT AS A COLD STANDBY. WHEN THE OPERATING UNIT FAILS WHILE ... |
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| ANALYSIS OF A 2-UNIT (DISSIMILAR) REPAIRABLE SYSTEM SUBJECT TO SLOW SWITCH |
24 AUG 1984 |
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| Authors:
M.N. GOPALAN; R. Radhakrishnan
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| THIS PAPER DEALS WITH THE COST BENEFIT ANALYSIS OF A COLD STANDBY SYSTEM COMPOSED OF TWO NON-IDENTICAL UNITS, SUBJECT TO SLOW SWITCH. THE TIME TO FAILURE OF A UNIT, REPAIR TIME AND THE SWITCHOVER TIME OF A UNIT FROM STANDBY TO OPERATIVE STATE ARE ASSUMED TO BE ARBITRARILY DISTRIBUTED. THE SYSTEM IS CHARACTERIZED BY THE PROBABILITY OF ITS BEING IN "UP" OR "DOWN" STATE AT A GIVEN INSTANT. BREAKDOWN OF ... |
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| COST-BENEFIT ANALYSIS OF AN N-UNIT REPAIRABLE ADAPTIVE SYSTEM |
14 AUG 1984 |
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| Authors:
A. VIJAYAKUMAR; M.N. GOPALAN; R. Radhakrishnan
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| IN THIS PAPER, AN N-UNIT SHARED PARRALLEL SYSTEM IS CONSIDERED. INITIALLY, ALL THE N-UNITS SHARE THE TOTAL LOAD EQUALLY AND WHEN ONE OR MORE UNITS FAIL, THEY GO IN FOR THE REPAIR FACILITY WHILE THE OTHER SURVIVING UNITS SHARE THE ENTIRE LOAD EQUALLY TILL THE FAILED UNITS ARE READY FOR OPERATION AFTER INSTALLATION. THE INSTALLATION TIME IS ASSUMED TO BE NON-NEGLIGIBLE. THE SYSTEM WILL BE DOWN ONLY WHEN ALL THE ... |
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| COST-BENEFIT ANALYSIS OF A TWO-UNIT ADAPTIVE SYSTEM WITH SLOW SWITCH |
02 AUG 1984 |
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| Authors:
M.N. GOPALAN; R. RADHAKRISHHNAN; A. VIJAYAKUMAR
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| IN THIS PAPER, A TWO-UNIT SHARED PARALLEL SYSTEM (REPAIRABLE) IS CONSIDERED. INITIALLY, BOTH THE UNITS SHARE THE TOTAL LOAD EQUALLY, AND WHEN ONE UNIT FAILS, IT GOES IN FOR THE REPAIR FACILITY. SIMULTANEOUSLY, THE OTHER SURVIVING UNIT TAKES OVER THE ENTIRE LOAD UNTIL THE REPAIR IS COMPLETED AND THE REPAIRED UNIT IS READY FOR OPERATION AFTER INSTALLATION. THE INSTALLATION TIME IS ASSUMED TO BE NON-NEGLIGIBLE. |
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| COST-BENEFIT ANALYSIS OF A 2-UNIT COLD STANDBY SYSTEM SUBJECT TO SLOW SWITCH |
09 JUL 1984 |
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| Authors:
M.N. GOPALAN; R. Radhakrishnan
|
| THIS PAPER DEALS WITH THE COST-BENEFIT ANALYSIS OF A 2-UNIT COLD STANDBY SYSTEM SUBJECT TO SLOW SWITCH. THE TIME TO FAILURE OF A UNIT, REPAIR TIME AND THE SWITCHOVER TIME OF A UNIT FROM STANDBY TO OPERATIVE STATE ARE ASSUMED TO BE ARBITRARILY DISTRIBUTED. THE SYSTEM HAS BEEN CHARACTERIZED BY ITS PROBABILITY OF ITS BEING IN UP OR DOWN STATE AT A GIVEN INSTANT. INTEGRAL EQUATIONS HAVE BEEN SET UP ... |
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| ANALYSIS OF SYSTEMS SUBJECT TO INSPECTION AND REPAIR: A STATE-OF-THE-ART SURVEY |
07 JUN 1984 |
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| Authors:
R.S. NAIDU; M.N. GOPALAN
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| THE MAIN INTENT OF THE PAPER IS TO PROVIDE A DETAILED LITERATURE SURVEY ON THE ANALYSIS OF SYSTEMS SUBJECT TO INSPECTION AND REPAIR. |
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| A RELIABILITY PHYSICS MODEL FOR DISSIMILAR TWO-UNIT STANDBY SYSTEM WITH SINGLE REPAIR FACILITY |
22 MAY 1984 |
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| Authors:
M.N. GOPALAN; P. VENKATESWARLU
|
| IN THIS PAPER, THE RELIABILITY AND AVAILABILITY ANALYSIS OF A REPAIRABLE DISSIMILAR TWO-UNIT STANDBY SYSTEM IS CARRIED OUT USING STRESS-STRENGTH FAILURE MODEL. SINGE REPAIR FACILITY WITH THE TIME TAKEN TO REPAIR A UNIT BEING EITHER DETERMINISTIC OR RANDOM HAS BEEN CONSIDERED. THE ANALYSIS IS CARRIED OUT FOR ARBITRARY STRESS, STRENGTH AND REPAIR TIME DISTRIBUTIONS. |
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| EXPECTED NUMBER OF INSPECTIONS AND REPAIRS OF A SINGLE SERVER N-UNIT SYSTEM SUBJECT TO ARBITRARY FAILURE |
15 FEB 1984 |
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| Authors:
R.S. NAIDU; M.N. GOPALAN
|
| A SINGLE SERVER N-UNIT SYSTEM SUBJECT TO RANDOM INSPECTION AND SEVERAL FAILURE MODES HAS BEEN INVESTIGATED UNDER THE SUPPOSITION THAT THE FAILURE TIME OF A UNIT IS DISTRIBUTED ARBITRARILY, WHILE ALL THE OTHER TIME DISTRIBUTIONS INVOLVED ARE EXPONENTIAL. AT ANY INSTANT T, THE SYSTEM IS CHARACTERIZED BY THE PROBABILITIES OF ITS BEING IN THE "UP" OR "DOWN" STATE. INTEGRAL EQUATIONS ARE ESTABLISHED FOR THESE PROBABILITIES BY IDENTIFYING THE SYSTEM AT ... |
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| EXPECTED NUMBER OF INSPECTIONS AND REPAIRS OF A ONE-SERVER TWO-UNIT SYSTEM SUBJECT TO ARBITRARY FAILURE |
06 FEB 1984 |
|
| Authors:
R.S. NAIDU; M.N. GOPALAN
|
| THE PAPER DEALS WITH A SINGLE-SERVER TWO-UNIT SYSTEM SUBJECT TO RANDOM INSPECTION AND TWO FAILURE MODES. IT IS ASSUMED THAT THE FAILURE TIME OF A UNIT IS DISTRIBUTED ARBITRARILY WHILE ALL THE OTHER TIME DISTRIBUTIONS INVOLVED ARE EXPONENTIAL. FURTHER, IT IS ASSUMED THAT THERE IS A SINGLE-SERVICE FACILITY WHICH SERVES THE DUAL PURPOSE OF INSPECTION AND REPAIR. AT ANY INSTANT T, THE SYSTEM IS CHARACTERIZED BY THE PROBABILITIES OF ITS ... |
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| A RELIABILITY PHYSICS MODEL FOR PARALLEL SYSTEM |
20 OCT 1982 |
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| Authors:
M.N. GOPALAN; P. VENKATESWARLU
|
| RELIABILITY ANALYSIS OF A NONREPAIRABLE TWO UNIT PARALLEL SYSTEM IS CARRIED OUT USING THE STRESS STRENGTH MODEL OF FAILURE PHYSICS. THE ANALYSIS IS CARRIED OUT FOR CORRELATED STRENGTHS AND ALTERED STRESS DISTRIBUTION DEPENDING UPON THE NUMBER OF COMPONENTS SURVIVING. THE ANALYSIS INCLUDES BOTH THE CASES OF DETERMINISTIC AND RANDOM CYCLE TIMES. IN THE CASE OF RANDOM CYCLE TIMES, POISSON DISTRIBUTED STRESS CYCLE OCCURRENCES HAVE BEEN CONSIDERED. |
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| BUSY PERIOD ANALYSIS OF A TWO UNIT WARM STANDBY SYSTEM WITH INSPECTION TIME |
22 JUN 1982 |
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| Authors:
R.S. NAIDU; M.N. GOPALAN
|
| THIS PAPER DEALS WITH THE BUSY PERIOD ANALYSIS OF A SINGLE SERVER TWO UNIT WARM STANDBY SYSTEM SUBJECT TO INSPECTION. TWO INSPECTION POLICIES ARE PROPOSED, NAMELY: (I) FAILURE OF THE OPERATING UNIT AS WELL AS THE STANDBY UNIT ARE DETECTED BY INSPECTION ONLY BUT SYSTEM FAILURE IS DETECTED INSTANTANEOUSLY WITHOUT INSPECTION; (II) FAILURE OF THE OPERATING UNIT AND THE STANDBY UNIT AS WELL AS THE SYSTEM FAILURE ARE DETECTED BY ... |
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| RELIABILITY ANALYSIS OF TIME DEPENDENT CASCADE SYSTEM WITH RANDOM CYCLE TIMES |
22 JUN 1982 |
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| Authors:
M.N. GOPALAN; P. VENKATESWARLU
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| RELIABILITY ANALYSIS OF TIME DEPENDENT TWO CASCADE AND THREE CASADE SYSTEMS IS CARRIED OUT USING STRESS/STRENGTH MODELS. EACH OF THE STRESS AND STRENGTH VARIABLES IS ASSUMED TO BE DETERMINISTIC OR RANDOM FIXED OR RANDOM INDEPENDENT. THE NUMBER OF CYCLES IN ANY PERIOD OF TIME IS ASSUMED TO BE RANDOM. THE PARTICULAR CASE WHEN THE NUMBER OF CYCLES IN ANY PERIOD OF TIME FOLLOWS A POISSON DISTRIBUTION IS ALSO CONSIDERED. |
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| STOCHASTIC BEHAVIOUR OF A TWO UNIT SYSTEM WITH ONE SERVER SUBJECT TO DELAYED MAINTENANCE |
14 DEC 1977 |
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| Authors:
M.N. GOPALAN; A.R. SAXENA
|
| THIS PAPER CONSIDERS A TWO UNIT REDUNDANT SYSTEM WITH ARBITRARY FAILURE AND REPAIR TIME DISTRIBUTIONS AND THE REPAIR FACILITY IS SUBJECT TO PREVENTIVE MAINTENANCE. THE PDFS OF TIME TO PREVENTIVE MAINTENANCE (I.E. THE WAITING TIME) AND THE TIME FOR PREVENTIVE MAINTENANCE OF THE REPAIR FACILITY ARE ARBITRARY. THE FOLLOWING CHARACTERISTICS OF THE SYSTEM ARE DISCUSSED: (I) THE AVAILABILITY OF THE SYSTEM IN A GIVEN INTERVAL, (II) THE PROBABILITY OF FIRST ... |
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