Extension of the bivariate characterization for stochastic orders
- 1 June 1992
- journal article
- letter
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 24 (02) , 506-508
- https://doi.org/10.1017/s0001867800047650
Abstract
The bivariate characterization of stochastic ordering relations given by Shanthikumar and Yao (1991) is based on collections of bivariate functions g(x, y), where g(x, y) and g(y, x) satisfy certain properties. We give an alternate characterization based on collections of pairs of bivariate functions, g 1(x, y) and g 2(x, y), satisfying certain properties. This characterization allows us to extend results for single machine scheduling of jobs that are identical except for their processing times, to jobs that may have different costs associated with them.Keywords
This publication has 3 references indexed in Scilit:
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- A Note on One-Machine Scheduling Problems with Imperfect InformationProbability in the Engineering and Informational Sciences, 1991
- A General Framework for Stochastic One-machine Scheduling Problems with Zero Release Times and No Partial OrderingProbability in the Engineering and Informational Sciences, 1991