Linear　multistate　consecutively　connected　systems　(LMCCSs)　have　been　widely　applied　in　telecommunications.　An　LMCCS　usually　has　several　nodes　arranged　in　sequence　along　a　line,　where　connecting　elements　(CEs)　are　deployed　at　each　node　to　provide　connections　to　the　following　nodes.　Many　researchers　have　studied　the　reliability　modeling　and　optimization　of　LMCCSs.　However,　most　of　the　existing　works　on　LMCCSs　have　focused　on　the　uncertainty　in　connection　ranges　of　CEs;　none　of　them　have　considered　signal　loss　during　the　transmission.　In　practice,　a　signal　emitted　from　a　node　may　neither　completely　reach　nor　completely　not　reach　the　destination　node.　In　other　words,　only　a　fraction　of　the　signal　may　reach　the　destination　node　whereas　the　rest　is　lost.　This　article　makes　new　contributions　by　proposing　a　model　that　evaluates　the　expected　signal　fraction　receivable　by　the　sink　node　in　an　LMCCS　subject　to　signal　loss.　Moreover,　we　solve　the　optimal　design　policy　problem,　which　co-determines　CEs　allocation　and　nodes　building　to　minimize　the　system　cost　while　meeting　certain　constraints　on　system　reliability　and　expected　receivable　signal　fraction.　Three　examples　are　provided　to　illustrate　the　proposed　model.