In this paper, a novel dual-mode scheduling framework is proposed that
jointly performs user applications (UA) selection and scheduling over microwave
($\mu$W) and millimeter wave (mmW) bands. The proposed scheduling framework
utilizes a set of context information, including the channel state information,
the delay tolerance and required load per UA, and the uncertainty of mmW
channels, to maximize the quality-of-service (QoS) per UA. The scheduling
problem is formulated as an optimization with minimum unsatisfied relations
(min-UR) problem which is shown to be challenging to solve. Consequently, a
long-term scheduling framework, consisting of two stages, is proposed. Within
this framework, first, the scheduling over $\mu$W band is formulated as a
matching game and to solve this problem, a novel algorithm is proposed and
shown to yield a two-sided stable resource allocation. Second, over the mmW
band, the scheduling problem is formulated as a 0-1 Knapsack problem and a
novel algorithm is proposed to solve it. Furthermore, it is shown that the
proposed framework can find an effective scheduling solution, over both $\mu$W
and mmW, in polynomial time. Simulation results show that, compared with
conventional scheduling schemes, the proposed approach significantly increases
the number of satisfied UAs and enhances the users' quality-of-experience.

本文提出了一种新颖的双模式调度框架，该框架能够同时执行毫米波和微波频段上的用户应用选择和调度，以最大化每个用户应用的服务质量；该框架提出了一种优化最小化不满意关系（min-UR）的问题，其中，包含频道状态信息、时延容忍、所需负载和毫米波信道不确定性等上下文信息，以在多项式时间内找到有效的调度解。通过模拟实验证明，与传统调度方案相比，该方法显著提高了用户满意度和体验质量。