We investigate how the flow of energy and the flow of jobs in a service system can be used to minimize the average response time to jobs that arrive according to random arrival processes at the servers. An interconnected system of workstations (WSs) and energy storage (ES) units that are fed with randomly arriving harvested energy is analyzed by means of the energy packet network (EPN) model. The system state is discretized and uses discrete units to represent the backlog of jobs at the WSs and the amount of energy that is available at the ES units. An energy packet (EP), which is the unit of energy, can be used to process one or more jobs at a WS, and an EP can also be expended to move a job from one WS to another one. The system is modeled as a probabilistic network that has a product-form solution for the equilibrium probability distribution of system state. The EPN model is used to solve two problems related to using the flow of energy and jobs in a multiserver system, so as to minimize the average response time experienced by the jobs that arrive at the system.

We use Energy Packet Network paradigms to investigate energy distribution problems in a computer system with energy harvesting and storages units. Our goal is to minimize both the overall average response time of jobs at workstations and the total rate of energy lost in the network. Energy is lost when it arrives at idle workstations which are empty. Energy is also lost in storage leakages. We assume that the total rate of energy harvesting and the rate of jobs arriving at workstations are known. We also consider a special case in which the total rate of energy harvesting is sufficiently large so that workstations are less busy. In this case, energy is more likely to be sent to an idle workstation. Optimal solutions are obtained which minimize both the overall response time and energy loss under the constraint of a fixed energy harvesting rate.

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