Fitting phase type distribution to service process with sequential phases
The work of this thesis is concerned with fitting Hypo-exponential and Erlang phase type distributions for modeling real life processes with non-exponential service time. There exist situations where exponential distributions cannot explain the distribution of service time properly. This thesis pres...
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| Formato: | Tesis |
| Lenguaje: | inglés |
| Publicado: |
2015
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| Acceso en línea: | http://eprints.uanl.mx/11352/1/1080215505.pdf |
| _version_ | 1824413324525174784 |
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| author | Nanda, Ankita |
| author_facet | Nanda, Ankita |
| author_sort | Nanda, Ankita |
| collection | Repositorio Institucional |
| description | The work of this thesis is concerned with fitting Hypo-exponential and Erlang phase type distributions for modeling real life processes with non-exponential service time. There exist situations where exponential distributions cannot explain the distribution of service time properly. This thesis presents the application of two traditional statistical estimation techniques to approximate the service distributions of processes with coefficient of variation less than one. It also presents an algorithm to fit Hypo-exponential distribution for complex situations which can’t be handled properly with traditional estimation techniques. The result shows the effect of variation of sample size and other parameters on the efficiency of the estimation techniques by comparing their respective outputs. Furthermore it checks how accurately the proposed algorithm approximates a given distribution. |
| format | Tesis |
| id | eprints-11352 |
| institution | UANL |
| language | English |
| publishDate | 2015 |
| record_format | eprints |
| spelling | eprints-113522019-12-04T14:31:13Z http://eprints.uanl.mx/11352/ Fitting phase type distribution to service process with sequential phases Nanda, Ankita T Tecnología en General The work of this thesis is concerned with fitting Hypo-exponential and Erlang phase type distributions for modeling real life processes with non-exponential service time. There exist situations where exponential distributions cannot explain the distribution of service time properly. This thesis presents the application of two traditional statistical estimation techniques to approximate the service distributions of processes with coefficient of variation less than one. It also presents an algorithm to fit Hypo-exponential distribution for complex situations which can’t be handled properly with traditional estimation techniques. The result shows the effect of variation of sample size and other parameters on the efficiency of the estimation techniques by comparing their respective outputs. Furthermore it checks how accurately the proposed algorithm approximates a given distribution. 2015-01 Tesis NonPeerReviewed text en cc_by_nc_nd http://eprints.uanl.mx/11352/1/1080215505.pdf http://eprints.uanl.mx/11352/1.haspreviewThumbnailVersion/1080215505.pdf Nanda, Ankita (2015) Fitting phase type distribution to service process with sequential phases. Maestría thesis, Universidad Autónoma de Nuevo León. |
| spellingShingle | T Tecnología en General Nanda, Ankita Fitting phase type distribution to service process with sequential phases |
| thumbnail | https://rediab.uanl.mx/themes/sandal5/images/online.png |
| title | Fitting phase type distribution to service process with sequential phases |
| title_full | Fitting phase type distribution to service process with sequential phases |
| title_fullStr | Fitting phase type distribution to service process with sequential phases |
| title_full_unstemmed | Fitting phase type distribution to service process with sequential phases |
| title_short | Fitting phase type distribution to service process with sequential phases |
| title_sort | fitting phase type distribution to service process with sequential phases |
| topic | T Tecnología en General |
| url | http://eprints.uanl.mx/11352/1/1080215505.pdf |
| work_keys_str_mv | AT nandaankita fittingphasetypedistributiontoserviceprocesswithsequentialphases |