In many operations research applications we want to know if a stochastic point process (series of events) can be modeled as a renewal process or a Poisson process. In other words, we want to know if the intervals between points are approximately lid (independent and identically distributed) and, if so, whether they are approximately exponentially distributed. For example, we may be considering ...

For optimising maintenance, the total costs should be computed over a bounded or unbounded time horizon. In order to determine the expected costs of maintenance, renewal theory can be applied when we can identify renewals that bring a component back into the as-good-as-new condition. This publication presents useful computational techniques to determine the probabilistic characteristics of a re...

This work describes a case study which demonstrates the efficacy of a renewal process of a very old system, judged from the viewpoint of users and managers. Data were collected over three years in a real environment to assess the effectiveness of the process, performed on a banking software system. The effects attributable to the progressive ageing of a system perceived by its users and manager...

This paper presents the analysis of a renewal input  finite buffer queue wherein the customers can decide either to  join the queue with a probability or balk. The service process is Markovian service process ($MSP$) governed  by an underlying $m$-state Markov chain. Employing the supplementary  variable and imbedded Markov chain techniques,   the steady-state system length distributions at pre...

Multivariate reward processes with reward functions of constant rates, defined on a semi-Markov process, first were studied by Masuda and Sumita, 1991. Reward processes with nonlinear reward functions were introduced in Soltani, 1996. In this work we study a multivariate process , , where are reward processes with nonlinear reward functions respectively. The Laplace transform of the covar...

This research aimed at investigating the role of social capital on the rights and duties of citizenship among master students of Marvdasht Islamic Azad University. 353 students were surveyed using cluster sampling. The study made use of two questionnaires of citizenship and social capital corporation. This instrument benefited from face and structural validity and the reliability index was repo...

The paper studied the process of product renewal in a supply chain, which is composed of one manufacturer and one retailer.There are original product and renewal product in the supply chain. A market share shift model for renewal product was firstly built on a increment function and a shift function. Based on the model, the decision-making plane consisting of two variables was divided into four...