Mathematical Problems in Engineering / 2017 / Article / Fig 2

Research Article

Delay-Optimal Scheduling for Two-Hop Relay Networks with Randomly Varying Connectivity: Join the Shortest Queue-Longest Connected Queue Policy

Figure 2

Example of the system in weak majorization (WM) phase. The figure in the above (resp., below) shows the queues under policy JSQ-LCQ or (resp., ). The SQ under is longer than that under ; that is, and . In addition, the number of customers in the RQs satisfies the following: we have , which satisfies (8). Next, we have satisfying (9); that is, the RQs under JSQ-LCQ are “better balanced” than those under .

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