Literatur
Zu Kapitel 3
Agarwal M, Kumar A (1980) Analysis of 2 models of standby redundant systems. IEEE Trans R-29:84–85
Baxter LA (1981) A two-state system with partial availability in the failed state. Nav Res Loq Q 28:231–236
Beichelt F (1981) A replacement policy based on limits for the repair cost rate. ZAMM 61:395–396
Beichelt F (1982) A replacement policy based on limits for the repair cost rate. IEEE Trans R-31:401–403
Beichelt F, Fischer K (1979) On a basic equation of reliability theory. Microelectron Reliab 19:367–369
Berg M (1981) A stochastic model for the reliability of a power unit with deliberate shutdowns. Eur J Oper Res 6: 309–314
Chan PKW, Downs T (1978) Two criteria for preventive maintenance. IEEE Trans R-27:272–273
Diricks YMI, Kistner KP (1979) Reliability of a repairable system with redundant units and preventive maintenance. IEEE Trans R-28:170–171
Drinkwater RW, Hastings NAJ (1967) An economic replacement model. Oper Res Q 18:121–138
Gopalan MN, D'Souza CA (1975) Probabilistic analysis of a two-unit system with a single service facility for preventive maintenance and repair. Oper Res 23:173–177
Gopalan MN, Venkatachalam P (1977) Two 1-servern-unit systems with preventive maintenance and repair. IEEE Trans R-26:127–128
Gopalan MN, Venkatachalam P (1977) Availability and reliability of a 1-server system withn warm standbys. IEEE Trans R-26:298
Gopalan MN, Saxena AR (1978) 2-unit system with 1-repair facility subject to preventive maintenance. IEEE Trans R-27:77
Gopalan MN, Dharmadhikari AD (1980) Analysis of 1-servern-unit system. IEEE Trans R-29:187
Gopalan MN, Marathe KY (1980) Availability analysis of 1-servern-unit system with slow switch subject to maintenance. IEEE Trans R-29:189
Gopalan MN, Natesan J, Saxena AR (1981) 1-servcrn-unit system with service facility subject to down time. J Math Phys Sci 15:331–339
Gupta S (1979) Reliability evaluation of a multicomponent system with imperfect switching over device under head of line repair policy. Acta Ciencia Indica 5:58–62
Gupta PP, Kumar S (1979) Operational availability of a multicomponent system with two types of failure and opportunistic repairs in-corporating environmental effects under preemptive resume repair policy. Acta Ciencia Indica 5:92–98
Gupta SM, Jaiswal NK, Goel LR (1982) Analysis of two-unit stand-by redundant system under partial failure and preemptive repair priority. Int J Systems Sci 13:675–681
Hastings NAJ (1968) Some notes on dynamic programming and replacement. Oper Res Q 19:453–464
Hastings NAJ (1969) The repair limit replacement method. Oper Res Q 20:337–349
Kaio N, Osaki S (1978) Optimum ordering policies with two kinds of lead times and non-linear ordering costs. Int J Systems Sci 9:265–272
Kaio N, Osaki S (1978) Optimum ordering policies with lead time for an operating unit in preventive maintenance. IEEE Trans R-27:270–271
Kaio N, Osaki S (1978) Optimum ordering policies when order costs depend on time. RAIRO Serie Verte 12:93–99
Kaio N, Osaki S (1979) Discrete-time ordering policies. IEEE Trans R-28:405–406
Kaio N, Osaki S (1980) Discrete time ordering policies with minimal repair. RAIRO Recherche Opérat/Oper Res 14: 257–263
Kaio N, Osaki S (1981) Optimum planned maintenance policies with lead time. IEEE Trans R-30:79
Kalpakam S, Shahul Hameed MA (1980) General 2-unit redundant system with random delays. IEEE Trans R-29: 86–87
Kapil DVS, Sinha SM (1981) Repair limit suspension policies for a 2-unit redundant system with 2-phase repairs. IEEE Trans R-30:90
Kapoor KR, Kapur PK (1978) Analysis of 2-unit standby redundant repairable systems. IEEE Trans R-27:385–388
Kapur PK, Kapoor KR, Kapil DVS (1980) Joint optimum preventive-maintenance and repair-limit replacement policies. IEEE Trans R-29:279–280
Khalil Z (1979) Asymptotic distribution of a standby system with delayed repair. IEEE Trans R-28:265–266
Kistner KP (1981) Zuverlässigkeit und Verfügbarkeit redundanter Systeme mit vorbeugender Wartung. In: Fandel G et al. (eds) Operations Research Proc 1980. Vorträge der DGOR Jahrestagung 1980. Springer, Berlin Heidelberg New York, pp 535–541
Kodama M, Fukuta J (1975) Renewal theoretical approach to the mission reliability of a redundant repairable system with two dissimilar units. Bull Math Stat 16:103–114
Kodama M, Itoi O (1977) The effect of switch-over device on availability of a 2-dissimilar-unit redundant system with a warm standby. Bull Math Stat 17:39–47
Kulshrestha DK (1972) Reliabüity with preventive maintenance. Metrika 19:216–226
Kumar A, Jain JL (1977) On a 2-unit standby system with repair specification. IEEE Trans R-26:369–370
Kumar A, Lal R (1980) Profit optimization in a tow-unit maintained standby redundant system. ZAMM 50:725–732
Lal R, Kumar A, Joshi DD (1980) 2-unit standby system with fault analysis. IEEE Trans R-29:431–432
Lauenstein G, Renger K (1981) Näherungsweise Ermittlung der Erneuerungsfunktion und Entwicklung von Diagrammen zu Bestimmung optimaler starr periodischer Instandhaltungszyklen bei Weibull-verteilten Laufzeiten. Wiss Z TH Leuna-Merseburg 23:529–545
Mahmoud MI (1981) Maintenance of redundant system with warm standby. IEEE Trans R-30:493
Marshall CW (1982) Component availability. IEEE Trans R-31:216–218
Mine H, Kawai H (1977) Optimal ordering and replacement for a 1-unit system. IEEE Trans R-26:273–276
Mine H, Kawai H (1979) Repair priority effect on availability of a 2-unit system. IEEE Trans R-28:325–326
Murari K, Maruthachalam C (1981) 2-unit parallel system with periods of working and rest. IEEE Trans R-30:91
Muron O (1980) Evaluation de politiques de maintenance pour un système complexe. RAIRO Oper Res 14:265–282
Nakagawa T (1976) On scheduling the delivery of spare units. IEEE Trans R-25:35–37
Nakagawa T (1977) Optimum preventive maintenance and repair limit policies maximizing the expected earning rate. RAIRO Oper Res 11:103–108
Nakagawa T (1977) Optimum preventive maintenance policies for repairable systems. IEEE Trans R-26:168–173
Nakagawa T, Osaki S (1974) Optimum replacement policies with delay. J Appl Prob 11:102–110
Nakagawa T, Osaki S (1974) The optimum repair limit policies. Oper Res Q 25:311–317
Nakagawa T, Osaki S (1976) Reliability analysis of one-unit system with unrepairable spare units and its optimization applications. Oper Res Q 27:101–110
Nakagawa T, Osaki S (1978) Optimum ordering policies with lead time for an operating unit. RAIRO Oper Res 12: 383–393
Nguyen DG, Murthy DNP (1980) A note on the repair limit replacement policy. J Oper Res Soc 31:1103–1104
Nguyen DG, Murthy DNP (1981) Optimal repair limit replacement policies with imperfect repair. J Oper Res Soc 32:409–416
Ohashi M, Nishida T (1980) A two-unit paralleled system with general distributions. J Oper Res Soc Jpn 23:313–324
Okumoto K, Osaki S (1976) Repair limit replacement policies with lead time. ZOR 20:133–142
Okumoto K, Osaki S (1977) Optimum policies for a standby system with preventive maintenance. Oper Res Q 28:415–423
Osaki S (1977) An ordering policy with lead time. Int J Systems Sci 8:1091–1095
Osaki S, Nakagawa T (1973) Optimum preventive maintenance policies for a two-unit priority standby redundant system. System Control 17:455–457
Osaki S, Yamada S (1976) Age replacement with leadtimc. IEEE Trans R-25:344–345
Osaki S, Kaio N, Yamada S (1981) A summary of optimal ordering policies. IEEE Trans R-30:272–277
Platz O (1980) Asymptotic distribution of downtime for a cold standby system. IEEE Trans R-29:79–81
Ramanarayanan R (1979) N-units warm standby system with Erlang failure and general repair and its dual. IEEE Trans R-28:173
Rohal-Ilkiv B (1979) Availability of a redundant system with replacement and repair. IEEE Trans R-28:83
Rohal-Ilkiv B (1981) Analysis of a redundant system with replacement and repair. IEEE Trans R-30:494–495
Sankaranarayanan G, Usha K, Ramanarayanan R (1979) Availability of a 2-unit paralleled system. IEEE Trans R-28: 416
Sankaranarayanan G, Usha K (1980) 2-unit standby system and alertness of the worker. IEEE Trans R-29:282–283
Sankaranarayanan G, Ramanarayanan R (1980) Reliability and availability of 1-out-of-n: G cold standby systems with arbitrary failure rate and constant repair rate. Stat Hefte 21:315–320
Sasaki M, Yokota T (1980) Improvement of instantaneous availabilities by decreasing delay time. IEEE Trans R-29: 178–181
Sinha SM, Kumar A, Agarwal M (1977–1978) Analysis of a two-unit priority standby system with different operative states. J Math Sci 12–13:65–79
Sinha SM, Kapil DVS (1979) 2-unit redundant system with delayed switchover and two types of repair. IEEE Trans R-28:417
Sinha SM, Kapil DVS (1979) 2-unit redundant system with slow switch. IEEE Trans R-28:418
Streller A (1979) Stationary interval reliability of a redundant system with renewal and preventive maintenance. Eng Cybern 17:72–77
Subramanian R, Ravichandran N (1978) Availability of a 2-unit redundant system with preventive maintenance. IEEE Trans R-27:73–74
Subramanian R, Ravichandran N (1979) Stochastic behavior of 2-unit parallel-redundant system. IEEE Trans R-28:419–420
Subramanian R, Ravichandran N (1980) A 2-unit priority redundant system with preemptive resume repair. IEEE Trans R-29:183–184
Subramanian R, Ravichandran N (1980) Ann-unit priority redundant system. J Math Phys Sci 14:85–94
Subramanian R, Natarajan R (1980) Availability analysis of a 2-unit redundant system. IEEE Trans R-29:182–183
Subramanian R, Natarajan R (1980) Two-unit system with imperfect switch. J Math Phys Sci 14:205–224
Subramanian R, Ravichandran N (1981) Interval reliability of ann-unit system with single repair facility. IEEE Trans R-30:30–31
Subramanian R, Ravichandran N, Nataraja R (1981) Stochastic models of 2-unit systems. IEEE Trans R-30:85–86
Subramanian R, Natarajan R (1981) Multiple-unit standby redundant repairable system. IEEE Trans R-30:387–388
Subramanian R, Ravichandran N (1981) Study of a 2-unit priority standby system. IEEE Trans R-30:388–390
Subramanian R, Ravichandran N (1981) Interval reliability of a redundant system. J Math Phys Sci 15:414–421
Subramanian R, Sarma YVS (1981) A standby system with “dead time” for the repair facility. IEEE Trans R-30:498
Sugimoto F, Osaki S (1976) Optimum repair limit replacement policies for a system subject to intermittent blows. Cah Cent Etud Rech Opér 18:485–491
Thomas LC, Osaki S (1978) A note on ordering policy. IEEE Trans R-27:380–381
Thomas LC, Osaki S (1978) An optimal ordering policy for a spare unit with lead time. Eur J Oper Res 2:409–419
Usha K, Ramanarayanan R (1980) Twon-unit cold standby systems with an Erlang distribution. IEEE Trans R-29:434–435
Wiens D (1981) Analysis of a hot standby system with 2 identical, dependent units and a general Erlang failure time distribution. IEEE Trans R-30:386
Zijlstra M (1981) Optimization of repair limit replacement policies for one-unit systems. RAIRO. Oper Res 15:351–361
Zu Kapitel 4
Abdel-Hameed M, Shimi JN (1978) Optimal replacement of damaged devices. J Appl Prob 15:153–161
Abdel-Hameed M (1977) Optimal replacement policies for devices subject to a gamma wear process. In: Tsokos CP, Shimi JN (eds) The theory and applications of reliability. Academic Press, New York, pp 397–412
Bergman B (1978) Optimal replacement under a general failure model. Adv Appl Prob 10:431–451
Block HW, Savits TH (1978) Shock models with NBUE survival. J Appl Prob 15:621–628
Christer AH (1978) Refined asymptotic costs for renewal reward processes. J Oper Res Soc 29:577–583
Cinlar E (1977) Shock and wear models and Markov additive processes. In: Tsokos CP, Shimi JN (eds) The theory and applications of reliability. Academic Press, New York, pp 193–214
Derman C, Smith D (1980) An alternative proof of the IFRA property of some shock models. Nav Res Log Q 27: 703–707
Esary JD, Marshall AW, Proschan F (1973) Shock models and wear processes. Ann Prob 1:627–649
Feldman RM (1976) Optimal replacement with Semi-Markov shock models. J Appl Prob 13:108–117
Feldman RM (1977) Optimal replacement for systems governed by Markov additive shock processes. Ann Prob 5: 413–429
Ghosh M, Ebrahimi N (1982) Shock models leading to increasing failure rate and decreasing mean residual life survival. J Appl Prob 19:158–166
Gottlieb G (1980) Failure distribution of shock models. J Appl Prob 17:745–752
Gottlieb G (1981) Asymptotic failure distributions. Stoch Proc Appl 11:47–56
Gottlieb G (1982) Optimal replacement for shock models with general failure rate. Oper Res 30:82–92
Jensen U (1981) Zustandsabhängige Erneuerungsstrategien-ein Modell aus der Instandhaltungstheorie. In: Fandel G et al. (eds) Operations Research Proc 1980. Vorträge der DGOR Jahrestagung 1980. Springer, Berlin Heidelberg New York, pp 251–252
Klefsjö B (1981) HNBUE survival under some shock models. Scand J Stat 8:39–47
Klefsjö B (1981) Survival under the pure birth shock model. J Appl Prob 18:554–560
Marshall AW, Shaked M (1979) Multivariate shock models for distributions with increasing hazard rate average. Ann Prob 7:343–358
Nakagawa T (1976) On a replacement problem of a cumulative damage model. Oper Res Q 27:895–900
Neuts MF, Bhattacharjee MC (1981) Shock models with phase type survival and shock resistance. Nav Res Log Q 28:213–220
Nummelin E (1980) A general failure model: optimal replacement with state dependent replacement and failure costs. Math Oper Res 5:381–387
Ross SM (1981) Generalized poisson shock models. Ann Prob 9:896–898
Savits TH, Shaked M (1981) Shock models and the mifra property. Stoch Proc Appl 11:273–283
Siedersleben J (1981) Dynamically optimized replacement with a Markovian renewal process. J Appl Prob 18:641–651
Sivazilian BD, Iyer SN (1981) A dyadic age-replacement policy for a periodically inspected equipment item subject to random deterioration. Eur J Oper Res 6:315–320
Taylor HM (1975) Optimal replacement under additive damage and other failure models. Nav Res Log Q 22:1–18
Thall PF (1981) Cluster shock models. J Appl Prob 18: 104–111
Yamada K (1980) Explicit formula of optimal replacement under additive shock processes. Stoch Proc Appl 9:193–208
Zuckerman D (1978) Optimal replacement policy for the case where the damage process is a one-sided Lévy process. Stoch Proc Appl 7:141–151
Zuckerman D (1978) Optimal stopping in a semi-Markovshock model. J Appl Prob 15:629–634
Zuckerman D (1980) Optimal replacement under additive damage and self-restoration. RAIRO 14:115–127
Zu Kapitel 5
Barlow RE, Hunter LC, Proschan F (1963) Optimum checking procedures. J Soc Indust Appl Math 11:1078–1095
Beichelt F (1970) Minimax-Inspektionsstrategien. ZAMM 50:769–770
Beichelt F (1971) Minimax-Inspektionsstrategien bei partieller Information über die Lebenszeitverteilung. Wiss Z TU Dresden 20:557–561
Beichelt F (1971) Optimale Inspektionsstrategien bei beliebiger Verlustfunktion. Biometr Z 13:384–395
Beichelt F (1972) Optimale Inspektion und Erneuerung. Elektron Informverarb Kybernetik 8:283–290
Beichelt F (1972) Optimale Inspektionsstrategien bei bekanntem Erwartungswert der Lebenszeit. ZAMM 52:431–433
Beichelt F (1974) Über eine Klasse von Inspektionsmodellen der Zuverlässigkeitstheorie. Math Operationsforsch Stat 5:315–332
Beichelt F (1975) Minimax inspections strategies for replaceable systems with partial information on lifetime distribution. Math Operationsforsch Stat 6:479–492
Beichelt F (1981) Minimax inspection strategies for single unit systems. Nav Res Log Q 28:375–381
Beichelt F (1981) The availability of replaceable single-unit systems in case of cost restrictions and partial information on lifetime distribution. Math Operationsforsch Stat Ser Optimization 12:453–461
Bosch K, Jensen U (1978) Deterministische Inspektionsstrategien. ZOR 22:151–168
Brender DM (1962) A surveillance model for recurrent events. IBM Res Rep RC-837:4
Derman C (1961) On minimax surveillance schedules. Nav Res Log Q 8:415–419
Gertsbakh IB (1978) Reliability characteristics of alternative checkup schedules for detecting hidden failures. J Oper Res Soc 29:1219–1229
Jensen U, Bosch K (1980) Ein stochastisches Inspektionsmodell. ZOR 24:91–106
Kaio N, Osaki S (1978) Optimum inspection-ordering policies with salvage cost. Microelectron Reliab 18:253–257
Kander Z (1978) Inspection policies for deteriorating equipment characterized byn quality levels. Nav Res Log Q 25:243–255
Klein M (1962) Inspection-maintenance-replacement schedules under Markovian deterioration. Manag Sci 9:25–32
Luss H, Kander Z (1974) Inspection policies when duration of checkings is non-negligible. Oper Res Q 25:299–309
Luss H (1976) Maintenance policies when deterioration can be observed by inspections Oper Res 24:359–365
Menipaz E (1978) Optimization of stochastic maintenance policies. Eur J Oper Res 2:97–106
Menipaz E (1979) Cost optimization of some stochastic maintenance policies. IEEE Trans R-28:133–136
Mine H, Kawai H (1982) An optimal inspection and maintenance policy of a deteriorating system. J Oper Res Soc Jpn 25:1–15
Munford AG, Shahani AK (1972) A nearly optimal inspection policy. Oper Res Q 23:373–379
Nakagawa T, Kazumi Y (1979) Approximate calculation of inspection policy with Weibull failure times. IEEE Trans R-28:403–404
Platz O (1976) Availability of a renewable, checked system. IEEE Trans R-25:56–58
Schneeweiss WG (1976) On the mean duration of hidden faults in periodically checked systems. IEEE Trans R-25: 346–348
Schneeweiss WG (1977) Duration of hidden faults in randomly checked systems. IEEE Trans R-26:328–330
Sengupta B (1980) Maintenance policies under imperfect information. Eur J Oper Res 5:198–204
Sengupta B (1980) Inspection procedures when failure symptoms are delayed. Oper Res 28:768–776
Sengupta B (1981) Control limit policies for early detection of failure. Eur J Oper Res 7:257–264
Tadikamalla PR (1979) An inspection policy for the gamma failure distributions. J Oper Res 30:77–80
Wattanapanom N, Shaw L (1979) Optimal inspection schedules for failure detection in a model where tests hasten failures. Oper Res 27:303–317
Yamada S, Osaki S (1977) Optimum number of checks in checking policy. Microelectron Reliab 16:589–591
Zuckerman D (1980) Inspection and replacement policies. J Appl Prob 17:168–177
Author information
Authors and Affiliations
Additional information
Teil 1 der Arbeit (Kapitel 1–2) erschien in OR-Spektrum Band 5, Heft 2 (1983)
Rights and permissions
About this article
Cite this article
Bosch, K., Jensen, U. Instandhaltungsmodelle — Eine Übersicht. OR Spektrum 5, 129–148 (1983). https://doi.org/10.1007/BF01720238
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01720238