 Modern industrial solutions deploy multi-hop topologies in order to bridge larger distances without necessarily shortening nodes' battery lifetime. This poses a significant challenge, as multi-hop analysis for heterogeneous wireless networks does not exist prior to our work.
<meaning-changed>  Modern industrial solutions deploy multi-hop topologies in order to bridge larger distances without necessarily shortening nodes' battery lifetime. This poses a significant challenge, as multi-hop analysis for heterogeneous wireless networks does not exist prior to our work.
 Modern industrial solutions deploy multi-hop topologies in order to address these needs. We design delay-bound-based algorithms for transmit power minimization and network lifetime maximization of multi-hop analysis for heterogeneous wireless networks does not exist prior to our work.