A numerical approximation of the renewal function : (Record no. 184)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01829nam a2200241 4500 |
| 001 - CONTROL NUMBER | |
| control field | UPMIN-00000009110 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UPMIN |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230209112452.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230209b |||||||| |||| 00| 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Transcribing agency | UPMin |
| Modifying agency | upmin |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) | |
| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) | LG993.5 2002 |
| Local cutter number (OCLC) ; Book number/undivided call number, CALL (RLIN) | A64 R35 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Raneses, Earl M. |
| 9 (RLIN) | 2227 |
| 245 00 - TITLE STATEMENT | |
| Title | A numerical approximation of the renewal function : |
| Remainder of title | solution to the renewal equation / |
| Statement of responsibility, etc. | Earl M. Raneses |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Date of publication, distribution, etc. | 2002 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 30 leaves |
| 500 ## - GENERAL NOTE | |
| General note | Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2002 |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | The expected number of renewals as a function of time, called the renewal function, is important in determining performance measures in maintenance management equipment, in controlling inventories, and calculating warranty policies of manufactured items. One of the ways of obtaining such function given the probability distribution of the interoccurence of events is solving an integral equation called the renewal equation. In this study, the renewal function was approximated as a numerical solution to the renewal equation. Such solution was obtained by developing a quadrature method based on the concept of Riemann integration. The renewal functions having Rayleigh, Gamma (3, 0.25), and Chi-square (8) distributions were obtained. Using the exponential and Erlang-2 distributions with scale parameter , the algorithm was validated by comparing the approximation and the true renewal function. The algorithm produced a good approximation for exponential and Erlang-2 distributions for small values of t it is limited, however, to t = 13 and t = 24 for the exponential and Erlang-2 distributions, respectively. |
| 658 ## - INDEX TERM--CURRICULUM OBJECTIVE | |
| Main curriculum objective | Undergraduate Thesis |
| Curriculum code | AMAT200, |
| Source of term or code | BSAM |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| a | Fi |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| a | UP |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Koha item type | Thesis |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Status | Collection | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Accession Number | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Not For Loan | Preservation Copy | University Library | University Library | Archives and Records | 2002-05-27 | donation | UAR-T-gd116 | LG993.5 2002 A64 R35 | 3UPML00020954 | 2022-09-21 | 2022-09-21 | Thesis | ||||
| Library of Congress Classification | Not For Loan | Room-Use Only | College of Science and Mathematics | University Library | Theses | 2002-06-20 | donation | CSM-T-1054 | LG993.5 2002 A64 R35 | 3UPML00010962 | 2022-09-21 | 2022-09-21 | Thesis |