This work considers heterogeneous sensors and sink mobility, which provide a more realistic and accurate view of the network design for a variety of sensing applications.

This work exploits Helly’s Theorem to address the joint problem of class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0743731515001768&_mathId=si2.gif&_user=111111111&_pii=S0743731515001768&_rdoc=1&_issn=07437315&md5=8f4a4ca802590d073556d6487473f6dc" title="Click to view the MathML source">kclass="mathContainer hidden">class="mathCode">$k$-coverage and data collection in heterogeneous wireless sensor networks, where each point in a field of interest is simultaneously covered by at least k active heterogeneous sensors.

This work investigates the optimal mobility strategy of the sink in order to minimize the average total energy consumption due to both of data communication and sink mobility in a circular sensor field.