 Review
 Open Access
A review on stochastic approach for dynamic power management in wireless sensor networks
 Anuradha Pughat^{1}Email author and
 Vidushi Sharma†^{1}
https://doi.org/10.1186/s1367301500216
© Pughat and Sharma; licensee Springer. 2015
 Received: 29 July 2014
 Accepted: 26 January 2015
 Published: 12 February 2015
Abstract
Wireless sensor networks (WSNs) demand low power and energy efficient hardware and software. Dynamic Power Management (DPM) technique reduces the maximum possible active states of a wireless sensor node by controlling the switching of the low power manageable components in power down or off states. During DPM, it is also required that the deadline of task execution and performance are not compromised. It is seen that operational level change can improve the energy efficiency of a system drastically (up to 90%). Hence, DPM policies have drawn considerable attention. This review paper classifies different dynamic power management techniques and focuses on stochastic modeling scheme which dynamically manage wireless sensor node operations in order to minimize its power consumption. This survey paper is expected to trigger ideas for future research projects in power aware wireless sensor network arenas.
Keywords
 Wireless sensor networks
 Stochastic approach
 Dynamic power management
 Markov model
Introduction
A wireless sensor network (WSN) consists of mostly tiny, resourceconstrained, selforganized, low power, low cost and simple sensor nodes which are organized in a cooperative manner. The sensor nodes can sense, communicate and control the surrounding environment. They can provide interaction between the users (human being), physical environment and embedded computers in order to perform some specific operation. They follow IEEE 802.15.4 as basis standard for lower layers (physical and medium access control) and other standards like ZigBee, ISA100.11a etc. as upper layer (application, routing) protocols. WSNs have wide application bandwidth emerging the areas of agricultural, medical, military, environmental, industrial control, monitoring, civil and mechanical, etc. Target tracking and continuous monitoring in WSNs are important energy hungry problems with a large spectrum of applications, such as surveillance [1], natural disaster relief [2], traffic monitoring [3] and pursuit evasion games, and so forth. A wide range of wireless sensor network applications helps in transforming human lives in various aspects of intelligent living technology. These attractive applications have generated a great interest amongst industrialists and researchers [4].
DPM is referred to as an operating systemlevel algorithm/technique which is used to control the power and performance parameters of a low power system, by increasing idle time slots of its devices and switching the devices to low power mode. Broadly, the ultralowpower components of the sensor node make the node energy efficient by implementing dynamic power management policies to achieve longer lifetime [5]. The total power dissipation of sensor node can be modelled with static and dynamic power dissipation. Static power consumption is the result of leakage current flow in ultralow power components of sensor node that can be reduced at design time by using static techniques. The static power can be reduced using synthesis and compilation at design time, whereas the dominate part such as dynamic power is the result of switching power consumption that can be reduced by selectively switching or shutting down hardware components on a sensor node. The switching or dynamic power consumption decreases quadratically with supply voltage (i.e. power gating) and linearly with the reduction in the working frequency (i.e. clock gating). Further, more the power modes of a component more is the saving of energy in a sensor node. To maximize the lifetime of the battery, the power consumption of sensor node components should reduce. Hence, the power management problem minimizes switching power or the power consumption of components. Switching power is defined as the power required for the component to change over from low power mode to high power mode and vice versa. The stochastic modelling is used for studying DPM in a wireless sensor network for power management [6,7]. Emphasis on the system model for power management shows the basic requirements for sensor node components and demands for power management.
The rest of this paper is organized as follows. Next section illustrates the abstract system model for dynamic power management and the system component requirements are identified. The section 3 classifies the major policies such as greedy schemes, timeout schemes, predictive schemes, stochastic schemes, dynamic scaling schemes, switching and scheduling schemes with their pros and cons. A brief discussion on other state of the art on discrete time and continuous time techniques is also presented. In section 4, the power consumption issues in continuous time Markov model and semi Markov model have been analyzed in detailed case studies 1 & 2 respectively. It also provides some background about existing stochastic models for dynamic power management as described in the literature, aiming at their stiff and weak points in wireless sensor network applications [8]. Apart from this, it highlights the important key areas, challenges and lacuna in managing the power dynamically using power aware stochastic modelling techniques, which gives future direction for research in the WSN area. Finally, section 5 concludes the entire paper and states about the Author’s future interest and investigation.
Basic power management system model
The switching between different power modes increases latency and degrades performance, which results the power and latency tradeoffs. The authors presented the basic idea behind dynamic power management and the resulting power and performance tradeoff space in wireless sensor network.
Ideally, a power manageable component with more than two power down states and its switching to deep sleep state can reduce more power consumption. Moreover, switching from power down to power up states and vice versa, require finite transition time and overhead of storing processor state before turning the device into low power mode or off. Deeper sleep state requires larger waking up time and which in turn increases the latency. Hence, there is a great need of an optimized DPM scheme that can reduce power consumption with performance constraints and gain performance with power constraints for power source limited applications in wireless sensor networks.
Dynamic power management
Static approach has a priori knowledge of different power manageable component states and stationary workload. Adaptive approach accounts for nonstationary nature of the workloads and uses policy precharacterization, parameter learning and policy interpolation in taking the determination for power down states of parts [19]. Adaptive Markov Control Process for nonstationary workloads are online adaptation DPM schemes for nonstationary workloads or reallife systems [20].
In discrete time Markov decision policy (DTMDP), the power manager takes the decision for next state at discrete time intervals regardless of the input nature. A discrete time, finite state Markov decision model for powermanaged systems are proposed for giving the exact solution using linear optimization problem in polynomial time [21]. This discrete time Markov model takes decision for the next state at every defined discrete interval of time. Therefore, it is not suitable for continuous monitoring or event driven processes. In discrete finite horizon Markov decision process (MDP), the sensor’s battery discharge process as an MDP is modelled stochastically and characterized the optimal transmission strategy [22]. The scheme can be generalized for the decentralized case with the stochastic game theory technique. Generally, network lifetime analysis models in the literature assume average node power consumption. A discrete time Markov model for a node with a Bernoulli distribution of arrival process and phasetype distribution of service time has been validated for single and multihop network [23]. Observations tell that, these schemes have limitations in terms of architectural modification.
A continuous time Markov decision policy (CTMDP) is event driven and the decision taken can change only at event occurrence. A wrong decision can increase energy overhead than energy saving. The continuous time Markov models [11] need all the stochastic processes as exponential processes. These models overcome the problems in discrete time methods. Continuous time modelling is complex and does not give good results for real time systems. Therefore, semiMarkov model reduces the need of strict exponential distribution. Time indexed semi Markov Decision Process (TISMDP) combines the advantages of event driven Semi Markov Decision process model with discrete time Markov decision process (DTMDP) model, but limited to nonexponential arrival distribution coupled with nonuniform transition distribution [24]. The multiple nonexponential processes require a more flexible model and the Timeindexed semiMarkov models can be one of its solution. A model with multiple nonexponential processes increases the model as well as system complexity. Nevertheless, the nonstationary nature of work loads can save more power because of its adaptive nature scheme [9]. The Npolicy gives accumulation of N events and then processing to make the system more energy efficient.
Other techniques such as dynamic scaling [13], decreases the power consumption of the system components by operating them at different low voltage and frequency levels during active phase. The switching and scheduling schemes help in power saving by controlling idle periods of the system [25]. The sleep state policy also improves energy efficiency to the greatest extent [26]. The anticipated workload of the different subsystems and the estimation of the task arrival rate at the scheduler are crucial preconditions for a DPM technique. Various cases of filters as estimation techniques are investigated [27,28]. These filters are predicting based which trace the past N number of tasks at scheduler and define the work load of the microcontroller for the next observation point. In a more precise estimation process, the workload of every hardware component is first observed and then the future load on the sensor node can be determined. This is particularly useful for selective switching. The scheduler can give the appropriate workload information regarding input events and event counter counts frequency and timeperiod of hardware employed by each task [29]. A stochastic sleep scheduling (SSS) with and without adaptive listening scheme is proposed and proved better in terms of energy consumption and delay reduction at the network level for SMAC. This scheme is applicable for high node scalability and stochastic sensor sleep period [30]. The energy efficiency can be improved in the routing layer to enhance the network lifetime. Several energy efficient routing algorithms for wireless sensor network are discussed which assume arrival of the input as a stochastic process [31]. The authors have shown improvement in wireless sensor network lifetime introducing dynamic power management policy in broadband routing [32], target tracking [33] and other applications [3437]. It is remarked that instead of energy efficiency improvement in routing protocols, power management can also improve energy efficiency. An OSdirected, event based, predictive power management technique [38] is proposed for single node energy efficiency improvement. PowerTOSSIM [39], mTOSSIM [40] and eSENSE [41] are easily available platform for sensor node life estimation.
Stochastic optimal control approach
Stochastic schemes are based on Markov decision policies which a power manager uses to direct the power manageable devices about the state change. Established in the memoryless property of Markov decision policy, power manager considers only present state of the devices for taking next state decisions. Here, the term “State” is the power mode of the device. The main function of stochastic approaches is the development and analysis of a system model to direct the system components for suitable operating mode to achieve the maximum power savings. The wireless sensor nodes observe the presence of the random interarrival of events on their input. Therefore, the input pattern follows any one of the exponential distribution, Pareto distribution, uniform distribution, normal distribution, Bernoulli distribution and Poisson distributions for modelling [42]. A paper on controllable Markov decision model provides heuristic and stochastic policies with linear programming optimization [43]. This work gives the importance to workload statistics for two, three and four state system model. It establishes that the delay in attending an event decreases with increase in timeout duration but the power consumption increases.
The advanced Partially Observable Markov Decision Process (POMDP) enabled the Hidden Markov model and event arrival distribution by causing modifications in the likelihood of the observed input sequence and optimizing it [44]. The paper focused on the Hidden Markov model (HMM) modelling of the service requester and the rest of the system (including service provider and service queue) is modelled in DTMDP. The authors compared the achieved results for HMM with other models and found 65.4% higher than earlier. In accumulation and fire (A&F) policy based model, the power manager can be entirely shut down when the service provider (SP) is activated. However, the A&F policy does not involve updating tasks [45,46]. This reduces average power dissipation. The PM latency is extremely small. A finite state Markov model for the server that minimizes the workload demand during energy minimization at the cost of reliability in hosting clusters is presented [47]. Thus, the hierarchical approaches are required to scale down the large systems consisting of a number of servers.
It is found through literature review that the power manager (PM) is the component which dissipates negligible power. Therefore, there is a need of policy that can consider power consumption of power manager along with the other component power on the system. Markov model based policies are not proven globally optimum for stationary Markovian workload. The accuracy of Markov models for nonstationary workload increases by incorporating a number of power states in the Markov chain. Different techniques of dynamic power management have their different implementation approach depending on the application requirement. The power consumption depends on the workload pattern and the states of the different components on the sensor node. The nongeometric transition times of the states and their complex cost functions can also be improved adding more states into a Markov chain of power managed system. However, this can increase the complexity of the system. Finally, constrained by the coarsegrain power management policy, one can search for a refined policy for the states inside each sensor node component dynamically.
Case study 1

Inactive mode power consumption0 W

Inactive mode startup energy4.75 J

Transition time from inactive to active5 Sec

Active mode power consumption1.9 W

Active mode startup energy0 W

Transition time from active to inactive0 W

Accumulation limit (k) 4

Task execution rate (greedy policy) 100,1000

Task execution rate (A&F policy) 100
Case Study 2

Event arrival rate range:150.000/hr.  12960000.000/hr.

Average number of jobs per event:1.666667e + 000/event

Event duration:1 Sec

Duty cycle range:0.010  0.900

Duty period:5 Sec
Power consumption and lifetime between Mica2 and Telos motes
ᅟ  Mica2 mote  Telos mote 

Power states  Power consumption (mW)  
S_{0} (sleep)  8.309  0.007 
S_{1} (processing)  68.00  15.927 
S_{2} (communication)  93.50  50.926 
S_{3} (idle)  17.60  0.104 
S_{4} (listening)  53.00  40.705 
Detection probability  Lifetime (days)  ᅟ 
Detection probability = 1  0.837  14.986 
Detection probability = 0.210  2.124  107.130 
Comparison of power breakdown for mica2 and Telos motes
Power Breakdown (mW)  

Mica2 mote  Telos mote  
Duty cycle=  Duty cycle=  Duty cycle=  Duty cycle=  Duty cycle=  Duty cycle=  
0. 01  0. 455  0. 9  0. 01  0. 455  0. 9  
Active state  0.472  1.597  3.312  0.111  0.374  0.776 
Sleep state  8.164  4.871  1.104  0.007  0.004  0.001 
Idle state  0.157  6.773  14.204  0.001  0.040  0.084 
Transmission state  0.145  0.491  1.018  0.079  0.267  0.554 
Reception state  0.004  0.013  0.027  0.003  0.010  0.021 
Modeling requirement for stochastic processes
Process name  Application  Event arrival distribution  Service time distribution  Transition time distribution  Processor  Model states 

DTMDP [21]  Laptop, desktop computer  Exponential  Geometric  Bellshaped  ARM SA1100  Two 
DTMDP [50]  Security, health care    Geometric    ATmega12  Four 
DTMDP [51]  Tracking        MSP430  Eight 
CTMDP [43]    Exponential, Pareto, uniform, normal  Exponential, uniform  Exponential    Four 
CTMDP [11]  Portable devices  Poisson  Exponential  Exponential    Three 
CTMDP [52]    Gaussian  Exponential  Gaussian    Three 
Portable systems  Exponential  Erlang  Poisson    Four  
DTMDP, CTMDP [53]    Deterministic, exponential, Erlang, uniform, Pareto  Uniform  Exponential    Five 
SMDP [54]  Camera node platform  Poisson  Arbitrary  Arbitrary  MSP430 and MS360LP  Five 
TISMDP [55]  Telnet, web browser  Exponential, Pareto  Exponential  Nonexponential, uniform    Three 
TISMDP [24]  Laptop, smart Badge  Pareto  Exponential  Uniform    Three 
Observations and challenges

The continuous time (event driven) model does not need synchronization pulse at each interval of time, as in case of discrete time system model.

The mission critical applications require the immediate service (high priority) queue and regular service (lower priority) queue.

Stochastic modelling outperforms over other dynamic power management techniques, but the solution of modelling becomes complex with the increase in the number of parameters used.

Pareto distribution is more suited for modelling event arrival when idle periods are long [10].

A stochastic modelling for dynamic power management along with dynamic voltage and frequency scaling will be the effective way of power consumption reduction in wireless sensor networks.

Consider the parameters such as delay in servicing an event, the number of waiting tasks, clock frequency, power manager delay, state transition time, detection probability and task execution deadline etc. as performance measure parameters.

Stochastic modelling for nonstationary service request needs improvement and directs toward future research area.

The knowledge gained from literature review is useful in the development of dynamic power management technique/algorithm for power hungry applications, e.g. continuous monitoring and detection of critical and emergency applications.

The cost of power manager needs to be evaluated for actual power consumption measurement in complete system.

The components other than processor should be working on scale down the voltage and frequency for achieving the more flexibility in modeling.
Conclusion
After in depth survey of power management techniques during the last two decades, this paper gives a brief review of papers which can be helpful in making decision for power management policy selection for wireless sensor network. The stochastic schemes as the Markov decision model helps in reducing the power consumption in wireless sensor network and thus, increases the sensor node life. The implementation and execution of dynamic power management policies are possible at operating system/software level. Thus, the energy efficiency of a sensor node can increase without requiring any specific power management hardware. This paper provides a brief study of Markov models. The work on specific stochastic modelling techniques for power and performance tradeoffs in wireless sensor network will be investigated and upgraded in our future report. The need of power management tends towards a quest to design simpler, energy efficient, optimized and flexible modelling techniques which itself are less power consuming and need less memory to fulfil the requirement of wireless sensor network environment.
Notes
Declarations
Acknowledgement
The author’s would like to thank Gautam Buddha University for providing workplace, support and resources.
Authors’ Affiliations
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