A warehouses location problem is treated using a mixed integer programming and a heuristic algorithm. A simplification of freight rates schedules, based upon shipments consolidation and a linear regression of rates vs distances was made. Warehousing costs were divided according to fixed and...

A system with customers demanding service is observed at equally spaced points in time. Two types of service can be applied and the maximum number of customers the system can accommodate is L. The probability for an arrival of a customer per period is assumed to be \lambda, and the probability...

We study the properties of finite ergodic Markov Chains whose transition probability matrix P is singular. The results establish bounds on the convergence time of Pm to a matrix where all the rows are equal to the stationary distribution of P. The results suggest a simple rule for identifying...