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001			UPMIN-00000009110
003			UPMIN
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008			230209b |||||||| |||| 00| 0 eng d
040			_aDLC _cUPMin _dupmin
041			_aeng
090			_aLG993.5 2002 _bA64 R35
100	1		_aRaneses, Earl M. _92227
245	0	0	_aA numerical approximation of the renewal function : _bsolution to the renewal equation / _cEarl M. Raneses
260			_c2002
300			_a30 leaves
500			_aThesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2002
520	3		_aThe 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			_aUndergraduate Thesis _cAMAT200, _2BSAM
905			_aFi
905			_aUP
942			_2lcc _cTHESIS
999			_c184 _d184