Cost-parametric analysis of the transportation problem / Katrina O. Ferolino

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Ferolino, Katrina O

Material type: Text

TextLanguage: English Publication details: 2003Description: 34 leavesSubject(s):

Undergraduate Thesis AMAT200

Dissertation note: Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2003 Abstract: This paper presents an algorithm for solving a parameterized transportation problem with variation on the cost-efficient of the objective function, involving a single parameter . The algorithm determines the region of the parameter space associated with the optimal bases. The transportation tableau was used in obtaining the primal basic feasible solution. The dual solution was used to examine the optimality of the basis found. Parameterized optimal solutions were found by varying the values of the parameter in the whole parameter space, using all the alternate optimum solutions. The range of the parameter for which the basic solution remains feasible and optimal was determined. A procedure of finding for the solution of the cost- parameterized transportation problem was summarized as an algorithm, and a numerical example was given to illustrate how the algorithm works

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Cover image	Item type	Current library	Collection	Call number	Status	Date due	Barcode
	Thesis	University Library Theses	Room-Use Only	LG993.5 2003 A64 F47 (Browse shelf(Opens below))	Not For Loan		3UPML00010393
	Thesis	University Library Archives and Records	Preservation Copy	LG993.5 2003 A64 F47 (Browse shelf(Opens below))	Not For Loan		3UPML00020972

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Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2003

This paper presents an algorithm for solving a parameterized transportation problem with variation on the cost-efficient of the objective function, involving a single parameter . The algorithm determines the region of the parameter space associated with the optimal bases. The transportation tableau was used in obtaining the primal basic feasible solution. The dual solution was used to examine the optimality of the basis found. Parameterized optimal solutions were found by varying the values of the parameter in the whole parameter space, using all the alternate optimum solutions. The range of the parameter for which the basic solution remains feasible and optimal was determined. A procedure of finding for the solution of the cost- parameterized transportation problem was summarized as an algorithm, and a numerical example was given to illustrate how the algorithm works

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