Browsing Waterloo Research by Title
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On a 2class polling model with reneging and ki limited service
(Springer, 20180618)This paper analyzes a 2class, singleserver polling model operating under a kilimited service discipline with classdependent switchover times. Arrivals to each class are assumed to follow a Poisson process with phasetype ... 
On a general mixed priority queue with server discretion
(Taylor & Francis, 20161001)We consider a singleserver queueing system which attends to N priority classes that are classified into two distinct types: (i) urgent: classes which have preemptive resume priority over at least one lower priority class, ... 
On Achieving High Survivability in Virtualized Data Centers
(Institute of Electronics, Information and Communication Engineers, 20140101)As businesses are increasingly relying on the cloud to host their services, cloud providers are striving to offer guaranteed and highlyavailable resources. To achieve this goal, recent proposals have advocated to offer ... 
On Aharoni’s rainbow generalization of the Caccetta–Häggkvist conjecture
(Elsevier, 20210501)For a digraph G and v is an element of V(G), let delta(+)(v) be the number of outneighbors of v in G. The CaccettaHaggkvist conjecture states that for all k >= 1, if G is a digraph with n = V(G) such that delta(+)(v) ... 
On estimands arising from misspecified semiparametric ratebased analysis of recurrent episodic conditions
(Wiley, 20191110)Marginal ratebased analyses are widely used for the analysis of recurrent events in clinical trials. In many areas of application, the events are not instantaneous but rather signal the onset of a symptomatic episode ... 
On Eulerian orientations of evendegree hypercubes
(Elsevier, 20180901)It is well known that every Eulerian orientation of an Eulerian 2kedge connected (undirected) graph is strongly kedge connected. A longstanding goal in the area is to obtain analogous results for other types of connectivity, ... 
On fixed points of self maps of the free ball
(Elsevier, 20180701)In this paper, we study the structure of the fixed point sets of noncommutative self maps of the free ball. We show that for such a map that fixes the origin the fixed point set on every level is the intersection of the ... 
On nonequilibrium shrinkage of supercritical CO2 droplets in a watercarrier microflow
(AIP Publishing, 20180716)We report an experimental study on the hydrodynamic shrinkage of supercritical carbon dioxide (scCO(2)) microdroplets during a nonequilibrium process. After scCO(2 )microdroplets are generated by water shearing upon a ... 
On NormLimits of Algebraic Quasidiagonal Operators
(Theta Foundation, 2020)It is still an open question to know whether or not every quasidiagonal operator can be expressed as a normlimit of algebraic quasidiagonal operators. In this note, we provide an alternative characterization of those ... 
On selfadjoint extensions of semigroups of partial isometries
(American Mathematical Society, 2016)Let S be a semigroup of partial isometries acting on a complex, infinite dimensional, separable Hilbert space. In this paper we seek criteria which will guarantee that the selfadjoint semigroup T generated by S consists ... 
On sets of polynomials whose difference set contains no squares
(Institute of Mathematics: Polish Academy of Sciences, 2013)Let Fq[t] be the polynomial ring over the finite field Fq, and let GN be the subset of Fq[t] containing all polynomials of degree strictly less than N. Define D(N) to be the maximal cardinality of a set A⊆GN for which A−A ... 
On Specht's Theorem in UHF C*algebras
(Elsevier, 20210101)Specht’s Theorem states that two matrices Aand Bin Mn(C)are unitarily equivalent if and only if tr(w(A, A∗)) =tr(w(B, B∗))for all words w(x, y)in two noncommuting variables xand y. In this article we examine to what extent ... 
On Specht's Theorem in UHF C⁎algebras
(Elsevier, 20210101)Specht's Theorem states that two matrices A and B in Mn(C) are unitarily equivalent if and only if tr(w(A;A )) = tr(w(B;B )) for all words w(x; y) in two noncommuting variables x and y. In this article we examine to what ... 
On symmetric intersecting families of vectors
(Cambridge University Press, 202111)A family of vectors in [k]n is said to be intersecting if any two of its elements agree on at least one coordinate. We prove, for fixed k ≥ 3, that the size of any intersecting subfamily of [k]n invariant under a transitive ... 
On The Complexity Of The Evaluation Of Transient Extensions Of Boolean Functions
(World Scientific Publishing, 20120101)Transient algebra is a multivalued algebra for hazard detection in gate circuits. Sequences of alternating 0's and 1's, called transients, represent signal values, and gates are modeled by extensions of boolean functions ... 
On the evaluation of some sparse polynomials
(American Mathematical Society, 2018)We give algorithms for the evaluation of sparse polynomials of the form P=p0 + p1 x + p2 x^4 + ... + p_{n1} x^{(N1)^2} for various choices of coefficients . First, we take p_i=p^i, for some fixed p; in this case, we ... 
On the measurement of relative powderbed compaction density in powderbed additive manufacturing processes
(Elsevier, 20181005)Experimental studies in the literature have identified the powderbed compaction density as an important parameter, governing the quality of additively manufactured parts. For example, in laser powderbed fusion (LPBF), ... 
On the number of irreducible factors with a given multiplicity in function fields
(Elsevier, 202312)Let k ≥ 1 be a natural number and f ∈ Fq[t] be a monic polynomial. Let ωk(f) denote the number of distinct monic irreducible factors of f with multiplicity k. We obtain asymptotic estimates for the first and the second ... 
On the Number of Trials Needed to Obtain k Consecutive Successes
(Elsevier, 20210430)A sequence of independent Bernoulli trials, each of which is a success with probability p, is conducted. For k ∈ Z+, let Xk be the number of trials required to obtain k consecutive successes. Using techniques from elementary ... 
On the optimal CFL number of SSP methods for hyperbolic problems
(Elsevier, 20190101)We show that the theory for strong stability preserving (SSP) time stepping methods employed with the method of linestype discretizations of hyperbolic conservation laws may result in overly stringent time step restrictions. ...