We consider difference equations y(s+1) = A(s)y(s), where A(s) is an n × n-matrix meromorphic in a neighborhood of ∞ with detA(s) ≡ 0. In general, the formal fundamental solutions of this equation involve gamma-functions which give rise to the critical variable s log s and a level 1. We show that, under a mild condition, formal fundamental matrices of the equation can be summed uniquely to anal...

We consider diierence equations y(s + 1) = A(s)y(s), where A(s) is an n n-matrix meromorphic in a neighborhood of 1 with det A(s) 6 6 0. In general, the formal fundamental solutions of this equation involve gamma-functions which give rise to the critical variable s log s and a level 1 +. We show that, under a mild condition, formal fundamental matrices of the equation can be summed uniquely to ...

AHP (Analytic Hierarchy Process) has been widely used in decision making. Inner dependence method AHP is one technique even in case of criteria have dependency. However using original AHP or Inner dependence method, the results often lose reliability because the comparison matrix does not always have sufficient consistency. In these cases, fuzzy representation for weighting criteria and alterna...

In this paper we analyze an MN/MN/1 queueing system with N customer classes and preemptive priorities between classes, by using matrix-analytic techniques. This leads to an exact method for the computation of the steady state joint queue length distribution. We also indicate how the method can be extended to models with multiple servers and other priority rules.

This paper considers the comparison of two ðs; SÞ production inventory systems with retrials of unsatisfied customers. The time for producing and adding each item to the inventory is exponentially distributed with rate b. However, a production rate ab higher than b is used at the beginning of the production. The higher production rate will reduce customers’ loss when inventory level appro...