A survey on queues in machining system: Progress from 2010 to 2017
DOI:
https://doi.org/10.2298/YJOR161117006RKeywords:
machining system, machine repair problem, queuesAbstract
The aim of the present article is to give a historical survey of some important research works related to queues in machining system since 2010. Queues of failed machines in machine repairing problem occur due to the failure of machines at random in the manufacturing industries, where different jobs are performed on machining stations. Machines are subject to failure what may result in significant loss of production, revenue, or goodwill. In addition to the references on queues in machining system, which is also called `Machine Repair Problem' (MRP) or `Machine Interference Problem' (MIP), a meticulous list of books and survey papers is also prepared so as to provide a detailed catalog for understanding the research in queueing domain. We have classified the relevant literature according to a year of publishing, methodological, and modeling aspects. The author(s) hope that this survey paper could be of help to learners contemplating research on queueing domain.References
Cooper, R. B., Introduction to Queueing Theory, MacMillan, New York, 1972.
Gross, D., and Harris, C., Fundamentals of Queueing Theory, Wiley Series in Probability and Statistics, 1998.
Gross, D., Shortle, J. F., Thompson, J. M., and Harris, C. M., Fundamentals of Queueing Theory, John Wiley & Sons, New York, 2008.
Kleinrock, L., Queueing Systems, John Wiley & Sons, New York, 1975.
Newell, G. F., Applications of Queueing Theory, Chapman & Hall, London, 1971.
Saaty, T. L., Elements of Queueing Theory, McGraw-Hill, 1961.
Takacs, L., Introduction to the Theory of Queues, Oxford University Press, New York, 1972.
Wol, R. W., Stochastic Modeling and the Theory of Queues, Prentice Hell, New Jersey, 1989.
Bhat, U. N., Elements of Applied Stochastic Process, John Wiley & Sons, New York, 1972.
Cox, D. R., and Miller, H. D., The Theory of Stochastic Process, Chapman & Hall, London, 1965.
Heyman, D. P., and Sobel, M. J., Stochastic Models in Operations Research, McGraw-Hill, New York, 1982.
Karlin, S., A First Course in Stochastic Processes, Academic Press, New York, 1966.
Medhi, J., Stochastic processes, John Wiley & Sons, New York, 1982.
Medhi, J., Stochastic Models in Queueing Theory, Academic Press, Amsterdam, 2002.
Nelson, R., Probability, Stochastic Processes and Queueing Theory: The Mathematics of Computer Performance Modeling, Springer, New York, 2000.
Ross, S. M., Applied Probability Models with Optimization Applications, Holden-Day, San Francisco, 1970.
Ash, R. B., Basic Probability Theory, John Wiley and Sons, New York, 1970.
Clarke, A. B., and Disney, R. L., Probability and Random Process for Engineers and Scientists, John Wiley & Sons, New York, 1970.
Drake, A. W., Fundamentals of Applied Probability Theory, McGraw-Hill, New York, 1967.
Feller, W., An Introduction to Probability Theory and its Applications, Vol. 1 & 2, John Wiley and Sons, New York, 1957 & 1966.
Parzen, E., Modern Probability Theory, John Wiley and Sons, New York, 1960.
Aissani, A., A retrial queue with redundancy and unreliable server, Queueing System, 17 (3) (1994) 431-449.
Chandrasekaran, V. M., Indhira, K., Saravanarajan, M. C., and Rajadurai, P., A survey on working vacation queueing models, International Journal of Pure and Applied Mathematics, 106 (6) (2016) 33-41.
Haque, L., and Armstrong, M. J., A survey of the machine interference problem, European Journal of Operational Research, 179 (2007) 469-482.
Jain, M., and Gupta, R., Redundancy issues in software and hardware systems: an overview, International Journal of Reliability, Quality and Safety Engineering, 18 (1) (2011) 61-98.
Jain, M., Sharma, G. C., and Pundhir, R. S., Some perspectives of machine repair problem, IJE Transactions B: Applications, 23 (3&4) (2010) 253-268.
Krishnamoorthy, A., Pramod, P. K., and Chakravarthy, S. R., Queues with interruptions: a survey, Top, 22 (2014) 290-320.
Shekhar, C., Raina, A. A., and Kumar, A., A brief review on retrial queue: Progress in 2010-2015, International Journal of Applied Sciences and Engineering Research, 5 (4) (2016) 324-336.
Sztrik, J., and Bunday, B. D., Machine interference problem with a random environment, European Journal of Operational Research, 65 (2) (1993) 259-269.
Teghem, J., Control of the service process in a queueing system, European Journal of Operational Research, 23 (1986) 141-158.
Gao, S., and Yin, C., Discrete-time GeoG1 queue with geometrically working vacations and vacation interruption, Quality Technology & Quantitative Management, 10 (4) (2016) 423-442.
Grover, R., Transient analysis of reliability with and without repair for K-out-of-n: G systems with three failure modes, International Research Journal of Engineering and Technology, 3 (3) (2016) 604-608.
Jain, M., and Meena, R. K., Fault tolerant system with imperfect coverage, reboot and server vacation, Journal of Industrial Engineering International, 13 (2) (2017) 171-180.
Jain, M., Shekhar, C., and Shukla, S., Queueing analysis of machine repair problem with controlled rates and working vacation under F-policy, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 86 (1) (2016a) 21-31.
Jain, M., Shekhar, C., and Shukla, S., A time-shared machine repair problem with mixed spares under N-policy, Journal of Industrial Engineering International, 12 (2016b) 145-157.
Kuo, C. C., and Ke, J. C., Comparative analysis of standby systems with unreliable server and switching failure, Reliability Engineering and System Safety, 145 (2016) 74-82.
Luo, C., Li, W., Yu, K., and Ding, C., The matrix-form solution for Geo^[x]/G/1/N working vacation queue and its application to state-dependent cost control, Computers & Operations Research, 67 (2016) 63-74.
Madheswari, S. P., Suganthi, P., and Josephine, S. A., Retrial queueing system with retention of reneging customers, International Journal of Pure and Applied Mathematics, 106 (5) (2016) 11-20.
Mohit, S. Parveen and Raina, A. A., Numerical solution of GM1 queueing model with removable server, International Transactions in Mathematical Sciences and Computers, 9 (1-2) (2016) 51-66.
V. Rawat, Mohit and Raina, A. A., Numerical solution of transient multi-server queueing model, International Transactions in Mathematical Sciences and Computers, 9 (1-2) (2016) 67-75.
Shekhar, C., Jain, M., and Raina, A. A., Transient analysis of machining system with spare provisioning and geometric reneging, International Journal of Mathematics in Operational Research, 11 (1) (2017) (In press). DOI: 10.1504/IJMOR.2017.10002701.
Shekhar, C., Jain, M., Raina, A. A., and Iqbal, J., Optimal (NF)-policy for queue dependent and time-sharing machining redundant system, International Journal of Quality & Reliability Management, 34 (6) (2017) (In Press).
Shekhar, C., Jain, M., Raina, A. A., and Mishra, R. P., Sensitivity analysis of repairable redundant system with switching failure and geometric reneging, Decision Science Letters, 6 (4) (2017) 337-350.
Tirdad, A., Grassmann, W. K., and Tavakoli, J., Optimal policies of M(t)/M/c/c queues with two different levels of servers, European Journal of Operational Research, 249 (2016) 1124-1130.
Upadhyaya, S., Performance prediction of a discrete-time batch arrival retrial queue with Bernoulli feedback, Applied Mathematics and Computation, 283 (2016) 108-119.
Yang, D. Y., Chang, F. M., and Ke, J. C., On an unreliable retrial queue with general repeated attempts and J optional vacations, Applied Mathematical Modelling, 40 (2016) 3275-3288.
Yen, T. C., Chen, W. L., and Chen, J. Y., Reliability and sensitivity analysis of the controllable repair system with warm standbys and working breakdown, Computers & Industrial Engineering, 97 (2016) 84-92.
Gao, S., A preemptive priority retrial queue with two classes of customers and general retrial times, Operational Research, 15 (2015) 233-251.
Gao, S., and Wang, J., Equilibrium balking strategies in the observable Geo/Geo/1 queue with delayed multiple vacations, RAIRO-Operations Research, 50 (2015) 119-129.
Gao, S., and Wang, J., On a discrete-time GI^[x]/GEO/1/N-G queue with randomized working vacations and at most J vacations, Journal of Industrial and Management Optimization, 11 (3) (2015) 779-806.
Haridass, M., and Arumuganathan, R., Analysis of a single server batch arrival retrial queueing system with modified vacations and N-policy, RAIRO-Operations Research, 49 (2015) 279-296.
Huang, W., Loman, J., and Song, T., A reliability model of a warm standby configuration with two identical sets of units, Reliability Engineering and System Safety, 133 (2015) 237-245.
Jain, M., and Bhagat, A., Transient analysis of finite F-policy retrial queues with delayed repair and threshold recovery, National Academy of Sciences Letters, 38 (3) (2015a) 257-261.
Jain, M., Sharma, R., and Sharma, G. C., Maximum entropy analysis of bulk arrival retrial queue with second optional service and Bernoulli vacation, International Journal of Industrial and Systems Engineering, 20 (2015) 369-396.
Jamshidi, R., and Esfahani, M. M. S., Maintenance policy determination for a complex system consisting of series and cold standby system with multiple level maintenance action, International Journal of Advanced Manufacturing Technology, 78 (5-8) (2015) 1337-1346.
Ke, J. C., Liu, T. H., and Wu, C. H., An optimum approach of profit analysis on the machine repair system with heterogeneous repairmen, Applied Mathematics and Computation, 253 (2015) 40-51.
Kim, B., and Kim, J., A single server queue with Markov modulated service rates and impatient customers, Performance Evaluation, 83-84 (2015) 1-15.
Lee, H.D., and Kim, B.K., A note on the sojourn time distribution of an M G1 queue with a single working vacation and vacation interruption, Operations Research Perspectives, 2 (2015) 57-61.
Liou, C.D., Optimization analysis of the machine repair problem with multiple vacations and working breakdowns, Journal of Industrial and Management Optimization, 11 (1) (2015) 83-104.
Liu, B., Cui, L., Wen, Y., and Shen, J., A cold standby repairable system with working vacations and vacation interruption following Markovian arrival process, Reliability Engineering and System Safety, 142 (2015) 1-8.
Mechri, W., Simon, C., and Othman, K.B., Switching Markov chains for a holistic modeling of SIS unavailability, Reliability Engineering and System Safety, 133 (2015) 212-222.
Phung-Duc, T., Asymptotic analysis for Markovian queues with two types of non-persistent retrial customers, Applied Mathematics and Computation, 265 (2015) 768-784.
Rajadurai, P., Chandrasekaran, V.M., and Saravanarajan, M.C., Analysis of an M[X] G1 unreliable retrial with orbital search and feedback under Bernoulli vacation schedule, OPSEARCH, 53 (1) (2015) 197-223.
Shree, L., Singh, P., Sharma, D.C., and Jharotia, P., Mathematical modeling and performance analysis of machine repairable system with hot spares, Proceeding of the National Academy of Science, 85 (1) (2015) 127-135.
Singh, C.J., Jain, M., and Kumar, B., MX G1 unreliable retrial queue with option of additional service and Bernoulli vacation, Ain Shams Engineering Journal, 7 (1) (2015) 415-429.
Vijaya, L.P., and Soujanya, M.L., Perishable inventory system with service interruptions, retrial demands and negative customers, Applied Mathematics and Computation, 262 (2015) 102-110.
Yang, D.Y., and Wu, C.H., Cost-minimization analysis of a working vacation queue with server breakdowns, Computers & Industrial Engineering, 82 (2015) 151-158.
Yang, D.Y., Wu, Z.R., and Tsou, C.S., Reliability analysis of a repairable system with geometric reneging and threshold-based recovery policy, Journal of Engineering Manufacture, 229 (11) (2015) 2047-2062.
Zhang, X., and Guo, L., A new kind of repairable system with repairman vacations, Journal of Nonlinear Science and Applications, 8 (2015) 324-333.
Chang, C.J., Chang, F.M., and Ke, J.C., Economic application in a Bernoulli queueing system with server breakdown, International Journal of Production Research, 52 (3) (2014) 743-756.
Gao, S., and Yao, Y., An M^[x]/G/1 queue with randomized working vacations and at most J vacations, International Journal of Computer Mathematics, 91 (3) (2014) 368-383.
Gao, S., Liu, Z., and Du, Q., Discrete-time GI^[X]/Geo/1/N queue with working vacations and vacation interruption, Asia-Pacific Journal of Operational Research, 31 (1) (2014) 1-25.
Gao, S., Wang, J., and Li, W.W., An M G1 retrial queue with general retrial times, working vacations and vacation interruption, Asia-Pacific Journal of Operational Research, 31 (2) (2014) 1-25.
Gomez-Corral, A., and Garcia, M.L., Maximum queue lengths during a fixed time interval in the M/M/c retrial queue, Applied Mathematics and Computation, 235 (2014) 124-136.
Hsu, Y.L., Ke, J.C., Liu, T.H., and Huang, C., Modeling of multi-server repair problem with switching failure and reboot delay and related profit analysis, Computers & Industrial Engineering, 69 (2014) 21-28.
Jain, M., and Gupta, R., Availability analysis of repairable redundant system with three types of failures subject to common cause failure, International Journal of Mathematics in Operational Research, 6 (3) (2014) 271-296.
Jain, M., and Preeti, Cost analysis of a machine repair problem with standby, working vacation and server breakdown, International Journal of Mathematics in Operational Research, 6 (4) (2014a) 437-451.
Jain, M., and Preeti, Transient analysis of a machine repair system with standby, two modes of failure, discouragement and switching failure, International Journal of Operational Research, 21 (3) (2014b) 365-390.
Jain, M., and Rani, S., Transient analysis of hardware and software systems with warm standbys and switching failures, International Journal of Mathematics in Operational Research, 6 (1) (2014) 1-28.
Jain, M., Shekhar, C., and Rani, V., N-policy for a multi-component machining system with imperfect coverage, reboot and unreliable server, Production & Manufacturing Research, 2 (1) (2014) 457-476.
Jain, M., Shekhar, C., and Shukla, S., Markov model for switching failure of warm spares in machine repair system, Journal of Reliability and Statistical Studies, 7 (2014) 57-68.
Kumar, G., and Bajaj, R.K., Intuitionistic fuzzy reliability of K-out-of-N : G system using statistical confidence interval, International Journal of Applied Information Systems, 7 (7) (2014) 1-7.
Kumar, K., and Jain, M., Bi-level control of degraded machining system with two unreliable servers, multiple standbys, startup and vacation, International Journal of Operational Research, 21 (2) (2014) 123-142.
Kumar, T., and Bajaj, R.K., Reliability analysis of K-out-of-N : G system using triangular intuitionistic fuzzy numbers, World Academy of Science, Engineering and Technology International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 8 (2) (2014) 373-379.
Kuo, C., Sheu, S., Ke, J., and Zhang, Z.G., Reliability-based measures for a retrial system with mixed standby components, Applied Mathematical Modelling, 38 (2014) 4640-4651.
Maurya, V.N., Mathematical modelling and performance analysis of single server two-state batch arrivals and batch service markovian queue with multiple vacations, American Journal of Modeling and Optimization, 2 (2) (2014) 39-46.
Sharma, R., and Kumar, G., Unreliable server M/M/1 queue with priority queueing system, International Journal of Engineering and Technical Research, Special Issue (2014) 368-371.
Shrivastava, R.K., and Mishra, A.K., Analysis of queuing model for machine repairing system with Bernoulli vacation schedule, International Journal of Mathematics Trends and Technology, 10 (2) (2014) 85-92.
Wells, C.E., Reliability analysis of a single warm-standby system subject to repairable and non-repairable failures, European Journal of Operational Research, 235 (1) (2014) 180-86.
Wu, C.H., and Ke, J.C., Multi-server machine repair problems under a (VR) synchronous single vacation policy, Applied Mathematical Modelling, 38 (7-8) (2014) 2180-2189.
Ammar, S.I., Helan, M.M., and Al Amri, F.T., The busy period of an M/M/1 queue with balking and reneging, Applied Mathematical Modelling, 37 (2013) 9223-9229.
Dimou, S., and Economou, A., The single server queue with catastrophes and geometric reneging, Methodology and Computing in Applied Probability, 15 (3) (2013) 595-621.
Do, T.V., Do, N.H., and Zhang, J., An enhanced algorithm to solve multi-server retrial queueing systems with impatient customers, Computers & Industrial Engineering, 65 (2013) 719-728.
El-Damcese, M.A., and Shama, M.S., Reliability and availability analysis of a standby repairable system with degradation facility, International Journal of Research and Reviews in Applied Sciences, 16 (3) (2013) 501-507.
Gao, S., and Liu, Z., An M/G/1 queue with single working vacation and vacation interruption under Bernoulli schedule, Applied Mathematical Modelling, 37 (2013) 1564-1579.
Gao, S., and Wang, J., Discrete-time Geo^[X]/G/1 retrial queue with general retrial times, working vacations and vacation interruption, Quality Technology & Quantitative Management, 10 (4) (2013) 495-512.
Gao, S., and Yin, S., Discrete-time Geo^[X]/G/1 queue with geometrically working vacations and vacation interruption, Quality Technology & Quantitative Management, 10 (4) (2013) 423-442.
Gao, S., Wang, J., and Zhang, D., Discrete-time GI^[X]/Geo/1/N queue with negative customers and multiple working vacations, Journal of Korean Statistical Society, 42 (4) (2013) 515-528.
Jain, M., Availability prediction of imperfect fault coverage system with reboot and common cause failure, International Journal of Operational Research, 17 (3) (2013) 374-397.
Jain, M., Shekhar, C., and Shukla, S., Queueing analysis of two unreliable servers machining system with switching and common cause failure, International Journal of Mathematics in Operational Research, 5 (4) (2013) 508-536.
Kim, J., and Kim, B., Waiting time distribution in an M PH1 retrial queue, Performance Evaluation, 70 (2013) 286-299.
Kumar, K., and Jain, M., Threshold F-policy and N-policy for multi-component machining system with warm standbys, Journal of Industrial Engineering International, 9 (1) (2013) 1-9.
Singh, P.N., and Maheshwari, S., Machine repair model with standbys, discouragement with vacationing unreliable repairmen, International Journal of Engineering Science and Technology, 5 (12) (2013) 1889-1897.
Tao, L., Zhang, L., Xu, X., and Gao, S., The GI/Geo/1 queue with Bernoulli-schedule controlled vacation and vacation interruption, Computers & Operations Research, 40 (7) (2013) 1680-1692.
Yang, D.Y., and Wang, K.H., Interrelationship between randomized F-policy and randomized N-policy queues, Journal of Industrial and Production Engineering, 30 (1) (2013) 30-43.
Yu, M., Tang, Y., Liu, L., and Cheng, J., A phase-type geometric process repair model with spare device procurement and repairman's multiple vacations, European Journal of Operational Research, 225 (2) (2013) 310-323.
Arivudainambi, D., and Godhandaraman, P., A batch arrival retrial queue with two phases of service, feedback and K optional vacations, Applied Mathematical Sciences, 6 (21-24) (2012) 1071-1087.
Choudhury, G., and Deka, M., A single server queueing system with two phases of service subject to server breakdown and Bernoulli vacation, Applied Mathematical Modelling, 36 (12) (2012) 6050-6060.
Jain, M., and Gupta, R., Load sharing M-out-of-N : G system with non-identical components subject to common cause failure, International Journal of Mathematics in Operational Research, 4 (5) (2012) 586-605.
Jain, M., Sharma, G.C., and Sharma, R., Optimal control of (NF) policy for unreliable server queue with multi-optional phase repair and start-up, International Journal of Mathematics in Operational Research, 4 (2) (2012a) 152-174.
Jain, M., Sharma, G.C., and Sharma, R., A batch arrival retrial queuing system for essential and optional services with server breakdown and Bernoulli vacation, International Journal of Internet and Enterprise Management, 8 (1) (2012b) 16-45.
Jain, M., Shekhar, C., and Shukla, S., Queueing analysis of a multi-component machining system having unreliable heterogeneous servers and impatient customers, American Journal of Operational Research, 2 (3) (2012) 16-26.
Ke, J.C., and Wu, C.H., Multi-server machine repair model with standbys and synchronous multiple vacation, Computers & Industrial Engineering, 62 (2012) 296-305.
Liu, Z., and Song, Y., Retrial queue with non-persistent customers and working vacations, Journal of Applied Mathematics and Computing, 42 (2012) 103-115.
Nourelfath, M., Chatelet, E., and Nahas, N., Joint redundancy and imperfect preventive maintenance optimization for series-parallel multi-state degraded systems, Reliability Engineering and System Safety, 103 (2012) 51-60.
Samanta, S. K., and Zhang, Z. G., Stationary analysis of a discrete-time GI/D-MSP/1 queue with multiple vacations, Applied Mathematical Modelling, 36 (12) (2012) 5964-5975.
Yuan, L., Reliability analysis for a K-out-of-N: G system with redundant dependency and repairmen having multiple vacations, Applied Mathematics and Computation, 218 (24) (2012) 11959-11969.
Hanbali, A.A., Busy period analysis of the level dependent PH/PH/1/K queue, Queueing Systems, 67 (3) (2011) 221-249.
Jain, M., and Upadhyaya, S., Synchronous working vacation policy for finite-buffer multi-server queueing system, Applied Mathematics and Computation, 217 (2011) 9916-9932.
Jain, M., Sharma, G.C., and Sharma, R., Maximum entropy approach for unreliable server vacation queueing model with optional bulk service, Journal of King Abdulaziz University: Engineering Sciences, 23 (2) (2011) 89-11.
Jain, M., Sharma, G.C., and Sharma, R., Working vacation queue with service interruption and multi-optional repair, International Journal of Information and Management Sciences, 22 (2011) 157-175.
Ke, J.B., Chen, J.W., and Wang, K.H., Reliability measures of a repairable system with standby switching failures and reboot delay, Quality Technology and Quantitative Management, 8 (1) (2011) 15-26.
Ke, J.C., Wu, C.H., and Pearn, W.L., Multi-server retrial queue with second optional service: algorithmic computation and optimization, International Journal of Systems Science, 42 (2011) 1755-1769.
Kuo, C.C., Wang, K.H., and Pearn, W.L., The interrelationship between N-policy M/G/1/K and F-policy GM1 K queues with startup time, Quality Technology and Quantitative Management, 8 (3) (2011) 237-251.
Lin, C.H., and Ke, J.C., On the multi-server retrial queue with geometric loss and feedback: computational algorithm and parameter optimization, International Journal of Computer Mathematics, 88 (2011) 1083-1101.
Liu, Z., and Gao, S., Discrete-time Geo1/Geo2^[X]/G1,G2/1 retrial queue with two classes of customers and feedback, Mathematical and Computer Modelling, 53 (5-6) (2011) 1208-1220.
Mary, K.J.R., Begum, M.I.A., and Parveen, M.J., Bi-level threshold policy of M^[X]/(G1,G2)/1 queue with early setup and single vacation, International Journal of Operational Research, 10 (4) (2011) 469-493.
Ruiz-Castro, J.E., and Li, Q.L., Algorithm for a general discrete K-out-of-N: G system subject to several types of failure with an indefinite number of repairpersons, European Journal of Operational Research, 211 (1) (2011) 97-111.
Singh, C.J., Jain, M., and Kumar, B., Queueing model with state-dependent bulk arrival and second optional service, International Journal of Mathematics in Operational Research, 3 (3) (2011) 322-340.
Wang, K.H., Yang, D.Y., and Pearn, W.L., Comparative analysis of a randomized queue: An improved maximum entropy method, Expert Systems with Applications, 38 (2011) 9461-9471.
Wu, Q., and Wu, S., Reliability analysis of two-unit cold standby repairable systems under Poisson shocks, Applied Mathematics and Computation, 218 (1) (2011) 171-182.
D.Y. Yang, K.H. Wang and Y.T. Kuo, Economic application in a finite capacity multi-channel queue with second optional channel, Applied Mathematics and Computation, 217 (18) (2011) 7412-7419.
Yu, M., Tang, Y., Fu, Y., and Pan, L., An M/Ek/1 queueing system with no damage service interruptions, Mathematical and Computer Modelling, 54 (5-6) (2011) 1262-1272.
Ayyappan, G., Sekar, G., and Subramanian, A.M.G., M/M/1 retrial queueing system with two types of vacation policies under Erlang-K type service, International Journal of Computer Applications, 2 (8) (2010) 9-18.
Dimitriou, I., and Langaris, C., A repairable queueing model with two-phase service, start-up times and retrial customers, Computers & Operations Research, 37 (2010) 1181-1190.
Goswami, C., and Selvaraju, N., The discrete-time MAP/PH/1 queue with multiple working vacations, Applied Mathematical Modelling, 34 (4) (2010) 931-946.
Guo, L., Xu, H., Gao, C., and Zhu, G., Stability analysis of a new kind series system, IMA Journal of Applied Mathematics, 75 (2010) 439-460.
Hu, L., Yue, D., and Li, J., Probabilistic analysis of a series-parallel repairable system with three units and vacation, Applied Mathematical Modelling, 34 (2010) 2711-2721.
Jain, M., Agrawal, S.C., and Preeti, Availability analysis of software-hardware system with common cause shock failure, spare and switching failure, Journal of International Academy of Physical Sciences, 14 (4) (2010) 425-437.
Ke, J.C., and Lin, C.H., Maximum entropy approach to machine repair problem, International Journal of Services Operations and Informatics, 5 (3) (2010) 197-208.
Ke, J.C., Chang, C.J., and Chang, F.M., Controlling arrivals for a Markovian queueing system with a second optional service, International Journal of Industrial Engineering, 17 (1) (2010) 48-57.
Lenin, R.B., Cuyt, A., Yoshigoe, K., and Ramaswamy, S., Computing packet loss probabilities of D-BMAP/PH/1/N queues with group services, Performance Evaluation, 67 (3) (2010) 160-173.
Lin, C.H., Ke, J.C., Huang, H.I., and Chang, F.M., The approximation analysis of the discrete-time Geo/Geo/1 system with additional optional service, International Journal of Computer Mathematics, 87 (11) (2010) 2574-2587.
Lv, S., Yue, D., and Li, J., Transient reliability of machine repairable system, Journal of Information & Computational Science, 7 (13) (2010) 2879-2885.
Maheshwari, S., Sharma, P., and Jain, M., Machine repair problem with k-type warm spares, multiple vacations for repairman and reneging, International Journal of Engineering and Technology, 2 (4) (2010a) 252-258.
Maheshwari, S., Sharma, P., and Jain, M., Unreliable flexible manufacturing cell with common cause failure, International Journal of Engineering Science and Technology, 2 (9) (2010b) 4701-4716.
Ramanath, K., and Kalidass, K., A two phase service M G1 vacation queue with general retrial times and non-persistent customers, International Journal of Open Problems in Computer Science and Mathematics, 3 (2) (2010) 175-185.
Sharma, K.C., and Sirohi, A., Cost analysis of the unloader queueing system with a single unloader subject to breakdown with two types of trailers, OPSEARCH, 47 (1)(2010) 93-103.
Sharma, R., Threshold N-Policy for M^[X]/H2/1 queueing system with unreliable server and vacations, Journal of International Academy of Physical Sciences, 14 (1)(2010) 41-51.
Thangaraj, V., and Vanitha, S., A single server M G1 feedback queue with two types of service having general distribution, International Mathematical Forum, 5 (1)(2010) 15-33.
Thangaraj, V., and Vanitha, S., M G1 queue with two-Stage heterogeneous service compulsory server vacation and random breakdowns, International Journal of Contemporary Mathematical Sciences, 5 (7)(2010) 307-322.
Wang, J., and Li, J., Analysis of the M[X] G1 queue with second multi-optional service and unreliable server, Acta Mathematicae Applicatae Sinica, 26 (3) (2010) 353-368.
Wang, K.H., Yang, D.Y., and Pearn, W.L., Comparison of two randomized policy M/G/1 queues with second optional service, server breakdown and startup, Journal of Computational and Applied Mathematics, 234 (2010) 812-824.
Wu, C.H., and Ke, J.C., Computational algorithm and parameter optimization for a multi-server system with unreliable servers and impatient customers, Journal of Computational and Applied Mathematics, 235 (2010) 547-562.
Yang, D.Y., Wang, K.H., and Wu, C.H., Optimization and sensitivity analysis of controlling arrivals in the queueing system with single working vacations, Journal of Computational and Applied Mathematics, 234 (2010) 545-556.
Downloads
Published
Issue
Section
License
Copyright (c) 2017 YUJOR
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.