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@string{rrw="R.R. Weber"}
@string{gw="G. Weiss"}
@string{kg="Glazebrook, K.D."}
@string{aap="Adv. Appl. Prob."}
@string{jap="J. Appl. Prob."}
@string{mor="Mathematics of Operations Research"}
@string{ms="Management Science"}
@string{om="Omega"}
@string{or="Operations Research"}
@string{naval="Naval Research Logistics Quarterly"}
@string{peis="Probability in the Engineering and Informational Sciences"}
@string{auto="IEEE Trans. Auto. Control"}

@article{Abo88,
   author    = {Abouammoh, A.M. and Ahmed, A.N.},
   title     = {The New Better than Used Failure Rate Class of Life Distribution},
   journal   = aap,
   year      = 1988,
   volume    = {{\bf 20}},
   pages     = {237--240}
}


@article{Ass85,
   author    = {Assaf, D. and Shaked, M. and Shanthikumar, J.G.},
   title     = {First-Passage Times with {$PF_r$} Densities},
   journal   = jap,
   year      = 1985,
   volume    = {{\bf 24}},
   pages     = {185--196}
}


@article{Bar85a,
   author    = {Bartoszewicz, J.},
   title     = {Dispersive Ordering and Monotone Failure Rate Distributions},
   journal   = aap,
   year      = 1985,
   volume    = {{\bf 17}},
   pages     = {472--474}
}


@article{Cha92a,
   author    = {Chang, C.-S.},
   title     = {A new ordering for stochastic majorization: theory and
                applications},
   journal   = aap,
   year      = 1992,
   volume    = {{\bf 24}},
   pages     = {604--634}
}


@article{Day72,
   author    = {Day, P.W.},
   title     = {Rearrangement Inequalities},
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   year      = 1972,
   volume    = {{\bf 24}},
   pages     = {930--943}
}


@article{Dye77,
   author    = {Dyer, M.E. and Proll, L.G.},
   title     = {On the Validity of Marginal Analysis for Allocating Servers in 
                {$M/M/m$} Queues},
   journal   = ms,
   year      = 1977,
   volume    = {{\bf 23}},
   number    = 9,
   pages     = {1019--1022}
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@article{Fox66,
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   year      = 1966,
   volume    = {{\bf 13}},
   number    = 3,
   pages     = {210--216}
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@book{Har52,
   author    = {Hardy, G.H. and Littlewood, J.E. and Polya, G.},
   title     = {Inequalities},
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   publisher = {Cambridge University Press},
   address   = {London and New York}
}


@article{Har90,
   author    = {Harel, A.},
   title     = {Convexity Results for Single-server queues and for
                Multiserver Queues with Constant Service Times},
   journal   = jap,
   year      = 1990,
   volume    = {{\bf 27}},
   pages     = {465--468}
}


@book{Kar68,
   author    = {Karlin, S.},
   title     = {Total Positivity},
   year      = 1968,
   publisher = {Stanford University Press},
   address   = {Stanford, CA}
}


@article{Kin62,
   author    = {Kingman, J.F.C.},
   title     = {The Effect of Queue Discipline on Waiting Time Variance},
   journal   = {Proc. Cam. Phil. Soc.},
   year      = 1962,
   volume    = {{\bf 58}},
   pages     = {163--164}
}


@article{Liy92,
   author    = {Liyanage, L. and Shanthikumar, J.G.},
   title     = {Allocation Through Stochastic Schur Convexity and Stochastic
                Rearrangement Increasingness},
   journal   = { },
   year      = 1992
}


@incollection{Lov83,
   author    = {Lovasz, L.},
   title     = {Submodular Functions and Convexity},
   booktitle = {Mathematical Programming, The State of the Art},
   year      = 1983,
   editor    = {A. Bachem et al.},
   publisher = {Springer-Verlag},
   address   = {Berlin, GERMANY},
   pages     = {235--257}
}


@book{Mar79,
   author    = {Marshall, A.W. and Olkin, I.},
   title     = {Inequalities: Theory of Majorization and its Applications},
   year      = 1979,
   publisher = {Academic Press},
   address   = {New York}
}


@article{Rig91c,
   author    = {Righter, R. and Shanthikumar, J.G.},
   title     = {Extremal Properties of the {FIFO} Discipline in Queueing Networks},
   journal   = jap,
   year      = 1992,
   volume    = {{\bf 29}},
   pages     = {967--978}
}


@inproceedings{Rig92a,
   author    = {Righter, R.},
   title     = {Scheduling},
   booktitle = {Stochastic Orders},
   year      = 1992,
   editor    = {Shaked, S. and Shanthikumar, J.G.},
   note      = {draft manuscript}
}


@article{Rig92b,
   author    = {Righter, R. and Shanthikumar, J.G.},
   title     = {Extension of the Bivariate Characterization for Stochastic Orders},
   journal   = aap,
   year      = 1992,
   volume    = {{\bf 24}},
   pages     = {506--508}
}


@article{Rol71,
   author    = {Rolfe, A.J.},
   title     = {A Note on Marginal Allocation in Multiple Service Systems},
   journal   = ms,
   year      = 1971,
   volume    = {{\bf 17}},
   number    = 9,
   pages     = {656--658}
}


@article{Sav85,
   author    = {Savits, T.H.},
   title     = {A Multivariate {IFR} Class},
   journal   = jap,
   year      = 1985,
   volume    = {{\bf 22}},
   pages     = {197--204}
}


@article{Sha87a,
   author    = {Shanthikumar, J.G.},
   title     = {On Stochastic Comparison of Random Vectors},
   journal   = jap,
   year      = 1987,
   volume    = {{\bf 24}},
   pages     = {123--136}
}


@article{Sha87b,
   author    = {Shanthikumar, J.G. and Sumita, S.},
   title     = {Convex Ordering of Sojorn Times in Single-Server
                Queues: Extremal Properties of FIFO and LIFO Service Diciplines},
   journal   = jap,
   year      = 1987,
   volume    = {{\bf 24}},
   pages     = {737--748}
}


@article{Sha88,
   author    = {Shaked, M. and Shanthikumar, J.G.},
   title     = {Stochastic Convexity and its Applications},
   journal   = aap,
   year      = 1988,
   volume    = {{\bf 20}},
   pages     = {427--446}
}


@article{Sha88a,
   author    = {Shaked, M. and Shanthikumar, J.G.},
   title     = {Multivariate Conditional Hazard Rates and the {MIFRA} and {MIFR} Properties},
   journal   = jap,
   year      = 1988,
   volume    = {{\bf 25}},
   pages     = {150--168}
}


@article{Sha88b,
   author    = {Shanthikumar, J.G. and Yao, D.},
   title     = {Stochastic Montonicity in General Queueing Networks},
   journal   = jap,
   year      = 1989,
   volume    = {{\bf 26}},
   pages     = {413--417}
}


@article{Sha88c,
   author    = {Shanthikumar, J.G.},
   title     = {{DFR} Property of First Passage Times and its Preservation
                Under geometric Compounding},
   journal   = {Annals of Probability},
   year      = 1988,
   volume    = {{\bf 16}},
   pages     = {397--406}
}


@article{Sha90,
   author    = {Shaked, M. and Shanthikumar, J.G.},
   title     = {Convexity of a Set of Stochastically Ordered Random Variables},
   journal   = aap,
   year      = 1990,
   volume    = {{\bf 22}},
   pages     = {160--177}
}


@article{Sha91a,
   author    = {Shanthikumar, J.G. and Yao, D.J},
   title     = {Strong Stochastic Convexity: Closure Properties and Applications},
   journal   = jap,
   year      = 1991,
   volume    = {{\bf 28}},
   pages     = {131--145}
}


@article{Sha91b,
   author    = {Shanthikumar, J.G. and Yao, D.D.},
   title     = {Bivariate Characterizations of Some Stochastic Ordering Relations},
   journal   = aap,
   year      = 1991,
   volume    = {{\bf 23}},
   pages     = {642-659}
}


@article{Sha92a,
   author    = {Shanthikumar, J.G. and Yao, D.D.},
   title     = {Multiclass Queueing Systems: Polymatroid Structure and Optimal
                Scheduling Control},
   journal   = or,
   year      = 1992,
   volume    = {{\bf 40}},
   pages     = {S293--S299}
}


@article{Tso89,
   author    = {Tsoucas, P. and Walrand, J.},
   title     = {Monontonicity of Throughput in Non-{M}arkovian Networks},
   journal   = jap,
   year      = 1989,
   volume    = {{\bf 26}},
   pages     = {134--141}
}


@article{Wan90,
   author    = {Wang, Y. and Cao, J.},
   title     = {New Kinds of Mulitdimensional {IFR} Distribution},
   journal   = aap,
   year      = 1990,
   volume    = {{\bf 22}},
   pages     = {251--253}
}


@article{Web80b,
   author    = rrw,
   title     = {On the marginal benefit of adding servers to {$G/GI/m$} queues},
   journal   = ms,
   year      = 1980,
   volume    = {{\bf 26}},
   number    = 9,
   pages     = {946--951}
}


@article{Web83a,
   author    = rrw,
   title     = {A note on waiting times in single server queues},
   journal   = or,
   year      = 1983,
   volume    = {{\bf 31}},
   pages     = {950--951}
}