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Two processes interacting only during breakdown: The case where the load is not lost
Authors:N. Mikou  O. Idrissi-Kacimi  S. Saadi
Affiliation:(1) Département de Mathématiques et Informatique, Faculté des Sciences, B.P. 1014, Rabat, Morocco;(2) Département de Mathématiques et Informatique, Faculté des Sciences, Sidi Othman, CasaII B.P. 6621, Casablanca, Morocco
Abstract:This paper deals with two parallel processors interacting only during breakdown. The system is analyzed in the case where the load is not lost, and in steady state. Generating functions are obtained by solving a functional equation in two complex variables with the aid of the theory of boundary value problems for regular functions.This work was supported by French Cooperation under Grant AI 89/424, INRIA-France and MEDCAMPUS (programme of the European Communities).
Keywords:Queueing theory  Hilbert's boundary value problem  Fredholm integral equation
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