scholarly journals On the Value of Optimal Myopic Solutions for Dynamic Routing and Scheduling Problems in the Presence of User Noncompliance

2000 ◽  
Vol 34 (1) ◽  
pp. 67-85 ◽  
Author(s):  
Warren B. Powell ◽  
Michael T. Towns ◽  
Arun Marar
1992 ◽  
Vol 24 (03) ◽  
pp. 604-634 ◽  
Author(s):  
Cheng-Shang Chang

In this paper, we develop a unified approach for stochastic load balancing on various multiserver systems. We expand the four partial orderings defined in Marshall and Olkin, by defining a new ordering based on the set of functions that are symmetric, L-subadditive and convex in each variable. This new partial ordering is shown to be equivalent to the previous four orderings for comparing deterministic vectors but differs for random vectors. Sample-path criteria and a probability enumeration method for the new stochastic ordering are established and the ordering is applied to various fork-join queues, routing and scheduling problems. Our results generalize previous work and can be extended to multivariate stochastic majorization which includes tandem queues and queues with finite buffers.


1988 ◽  
Vol 22 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Marius M. Solomon ◽  
Jacques Desrosiers

2012 ◽  
Vol 223 (2) ◽  
pp. 489-498 ◽  
Author(s):  
Tsung-Sheng Chang ◽  
Hui-Mei Yen

2014 ◽  
Vol 52 (1) ◽  
pp. 28-38 ◽  
Author(s):  
Ahmad Hemmati ◽  
Lars Magnus Hvattum ◽  
Kjetil Fagerholt ◽  
Inge Norstad

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