Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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ON AN INTEGRAL EQUATION ASSOCIATED WITH A PRODUCTION PROBLEM

  • Kalla, S.L. (Coordinacion de Postgrado Facultad de Ingenieria La Universidad del Zulia) ;
  • Viloria, L. (Coordinacion de Postgrado Facultad de Ingenieria La Universidad del Zulia) ;
  • Conde, S. (Coordinacion de Postgrado Facultad de Ingenieria La Universidad del Zulia)
  • Published : 1979.06.20
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Abstract

We consider the problem that how must the production of certain item vary as a function of time, if for known losses due to depreciation the total amount of the product is to have a constant value. The integral equation associated with the problem is solved by an appeal to the convolution quotients. The production function comes out to be an expression containing the generalized Laguerre polynomials. The loss function and the production function are tabulated for different values of the parameter by using an IBM 370/145 computer.

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