ASYMMETRIC PATROLLING REPAIRMAN SYSTEMS WITH GENERAL REPAIR TIME AND WALK TIME DISTRIBUTIONS: COST ANALYSIS OF SERVICE SCHEDULE

References

• Agnihothri , S. R. , “ A mean value analysis of the travelling repairman problem ,” HE Transactions , 20 , 223 – 229 ( 1988 ).
   Google Scholar
• Ashcroft , H. , “ Productivity of several machines under care of one operator ,” Journal of the Royal Statistical Society, Series B , 12 , 145 – 151 ( 1950 ).
   Google Scholar
• Bunday , B. D. , Mack , C. , “ Efficiency of bi-directionally traversed machines ,” Journal of the Royal Statistical Society, Series C , 22 , 74 – 81 ( 1973 ).
   Web of Science ®Google Scholar
• Bunday , B. D. , El-Badri , W. K. , and Supanekar , S. D. , “ The efficiency of bi-directionally patrolled machines when repairs are not always successful ,” European Journal of Operations Research , 19 , 324 – 330 ( 1985 ).
   Web of Science ®Google Scholar
• Bunday , B. D. , and El-Badri , W. K. , “ Machine interference- a comparison of two patrolling methods ,” International Journal of Production Research , 23 , 4 , 795 – 805 ( 1985 ).
   Web of Science ®Google Scholar
• Bunday , B. D. , and El-Badri , W. K. , “ The efficiency of M groups of N machines served by a travelling robot comparison of two models ,” International Journal of Production Research , 26 , 2 , 299 – 308 ( 1988 ).
   Web of Science ®Google Scholar
• Cinlar , E. , Introduction to Stochastic Processes , Prentice Hall ( 1975 ) .
   Google Scholar
• Das , T. K. , and Wortman , M. A. , “ Analysis of asymmetric patrolling repairman systems ,” European Journal of Operational Research , 64 , 45 – 60 ( 1993 ).
   Web of Science ®Google Scholar
• Das , T. K. , and Wortman , M. A. , “ Performance of AT Machine Centers of K-oul-of-MG Type Maintained by a Single Repairman ,” Naval Research Logistics , 39 , 919 – 936 ( 1992 ).
   Web of Science ®Google Scholar
• Gross , D. , and Harris , C. M. , Fundamentals ofQueueing Theory . John Wiley & Sons ( 1985 ) .
   Google Scholar
• Mack , C. , Murphy , T. , and Webb , N. L. , “ The efficiency of N machines uni-directionally patrolled by one operative when walking time and repair times are constant ,” Journal of Royal Statistical Society, Series B. 19 , 166 – 172 ( 1957 ).
   Google Scholar
• Mack , C. , “ The efficiency of N machines uni-directionally patrolled by one operative when walking time is constant and repair times are variable ,” Journal of Royal Statistical Society, Series B , 19 , 173 – 178 ( 1957 ).
   Google Scholar
• Takagi , H. , “ Analysis of polling systems ,” The MIT Press ( 1986 ) .
   Google Scholar
• Takine , T. , Takahashi , Y. , and Hesegawa , T. , “ Exact analysis of asymmetric polling systems with single buffers ,” IEEE Transactions on Communications , 36 , 1119 – 1127 ( 1988 ).
   Web of Science ®Google Scholar
• Wortman , M. A. , and Disney , R. L. , “ Vacation queues with Markov Schedules ,” Advances in Applied Probability , 22 , 730 – 748 ( 1990 ).
   Web of Science ®Google Scholar
• Handled by the Department of Engineering Statistics & Applied Probability.
   Google Scholar