Aeschylus. Prometheus Vinctus, with notes by M. G. Glazebrook, M.A. Rivingtons. 2s. 6d.

The g - Theorem MA 715 Course Notes Spring 2002

These notes will be rather informal in many places. For more precision, refer to Lectures on Polytopes by Günter Ziegler [Zie95], Convex Polytopes by Branko Grünbaum [Grü67], An Introduction to Convex Polytopes by Arne Brøndsted [Brø83], and Convex Polytopes and the Upper Bound Conjecture by Peter McMullen and Geoffrey Shephard [MS71]. See also the handbook papers [BL93, KK95] We will be studyi...

Optimization of M G 1 Queue with Vacation (TECHNICAL NOTE)

This paper reports on the minimization of the average waiting time of the customers in the M/G/1 queue with vacation. Explicit formula for the unknown service parameter of a particular customer has been obtained by considering the exhaustive service discipline in the case of multi-user with unlimited service system. Moreover, results in case of partially gated and gated service disciplines unde...

MA 106 Linear Algebra lecture notes

8 Elementary operations and the rank of a matrix 25 8.1 Gauss transformations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 8.2 Elementary row operations . . . . . . . . . . . . . . . . . . . . . . . . . 26 8.3 The augmented matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 8.4 Row reducing a matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 8.5 Elem...

Partial Differential Equations Ma 3132 Lecture Notes

Emergency Location Problems with an M/G/k Queueing System

  Since late 1960's, the emergency location problems, fire stations and medical emergency services have attracted the attention of researchers. Mathematical models, both deterministic and probabilistic, have been proposed and applied to find suitable locations for such facilities in many urban and rural areas. Here, we review some models proposed for finding the location of such facilities, wit...