In this paper we consider the probabilities of finiteand infinite-time absolute ruin in the renewal risk model with constant premium rate and constant force of interest. In the particular case of compound Poisson model, explicit asymptotic expressions for the finiteand infinite-time absolute ruin probabilities are given. For the general renewal risk model, we present an asymptotic expression fo...

We study multi-product and multi-item assemble-to-order systems under general assumptions on demand patterns and replenish leadtime distributions. We only assume that the demand process of each product being a renewal process, and the replenish leadtimes follow general distributions. Based upon techniques from renewal theory, we developed procedures for approximating key performance measures of...

This paper addresses the problem of inventory penalty pricing under the risk-neutral valuation principle. The underlying production-inventory system has a constant replenishment rate and a compound renewal demand stream (i.e., iid demand interarrival times are independent of iid demand sizes), and is subject to underage and overage penalties. Our pricing approach treats the penalties as a serie...

This paper addresses the inventory penalty pricing problem under risk-neutral valuation principle. In particular, we consider an inventory driven by a constant replenishment rate and compound renewal demand stream (iid demand inter-arrival time and iid demand quantity), and subject to overage penalties and underage penalties. Our solution approach treats the inventory penalties of overage and u...

In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated, and useful theorems such as the elementary renewal theorem, Blackwell renewal theorem and Smith key r...

Introduction: Satellite cells are known as the main regenerative cell type in skeletal muscles. Our study established a modified digestion and preplating method for the isolation of slow or weak adherent cells for the enrichment of satellite cells. Low-survival rate of these primary stem cells prompted us to address whether cell culture medium substitution might change cell viability status. M...

We review the theory of renewal reward processes, which describes renewal processes that have some cost or reward associated with each cycle. We present a new simplified proof of the renewal reward theorem that mimics the proof of the elementary renewal theorem and avoids the technicalities in the proof that is presented in most textbooks. Moreover, we mention briefly the extension of the theor...

The Available Bit Rate Service (ABR) has been designed to be an eecient data transport Service for ATM networks. The standardization bodies have deened the Dynamic Generic Cell Rate Algorithm (DGCRA) as the Conformance Deenition for ABR. When setting up an ABR connection, a Cell Delay Variation Tolerance (CDVT) has to be negotiated for the DGCRA. In this report we study the CDVT dimensioning fo...