QUEUING PROBLEMS WITH HETEROGENEOUS ARRIVALS AND SERVICES
This thesis studies a two-level M/M/1 queuing model where the arrival process follows the Poisson process and the time service is exponentially distributed. The problem of the two -level queue model is analyzed by using the probability generating function technique, so that we get the transition...
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id-itb.:549892021-06-11T14:07:19ZQUEUING PROBLEMS WITH HETEROGENEOUS ARRIVALS AND SERVICES Umam, Hairul Indonesia Theses Poisson process, Markov Chain, Birth and death queuing model, Two- Level of the M=M=1 and The probability generating function technique INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/54989 This thesis studies a two-level M/M/1 queuing model where the arrival process follows the Poisson process and the time service is exponentially distributed. The problem of the two -level queue model is analyzed by using the probability generating function technique, so that we get the transition probability, the probability of steady state and the expectation of queuing. The next, the special cases are given that will be evaluated in detail by using the probability generating function, and given the case of data simulation so that we get the result of transition probability of the queuing model by using the matlab program. text |
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Institut Teknologi Bandung |
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Institut Teknologi Bandung Library |
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Indonesia Indonesia |
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Indonesia |
| description |
This thesis studies a two-level M/M/1 queuing model where the arrival process
follows the Poisson process and the time service is exponentially distributed. The
problem of the two -level queue model is analyzed by using the probability generating
function technique, so that we get the transition probability, the probability of
steady state and the expectation of queuing. The next, the special cases are given
that will be evaluated in detail by using the probability generating function, and
given the case of data simulation so that we get the result of transition probability
of the queuing model by using the matlab program. |
| format |
Theses |
| author |
Umam, Hairul |
| spellingShingle |
Umam, Hairul QUEUING PROBLEMS WITH HETEROGENEOUS ARRIVALS AND SERVICES |
| author_facet |
Umam, Hairul |
| author_sort |
Umam, Hairul |
| title |
QUEUING PROBLEMS WITH HETEROGENEOUS ARRIVALS AND SERVICES |
| title_short |
QUEUING PROBLEMS WITH HETEROGENEOUS ARRIVALS AND SERVICES |
| title_full |
QUEUING PROBLEMS WITH HETEROGENEOUS ARRIVALS AND SERVICES |
| title_fullStr |
QUEUING PROBLEMS WITH HETEROGENEOUS ARRIVALS AND SERVICES |
| title_full_unstemmed |
QUEUING PROBLEMS WITH HETEROGENEOUS ARRIVALS AND SERVICES |
| title_sort |
queuing problems with heterogeneous arrivals and services |
| url |
https://digilib.itb.ac.id/gdl/view/54989 |
| _version_ |
1822274115862528000 |