In　the　context　of　mobile　edge　computing,　efficiently　deploying　microservices　to　reduce　finish　time　and　enhance　user　service　quality　is　a　challenging　task.　However,　existing　research　still　has　certain　deficiencies　in　considering　microservice　deployment　within　edge　server　clusters　and　communication　link　constraints.　To　address　this　issue,　we　propose　three　microservice　deployment　strategies　by　offering　flexibility　and　adaptability　for　various　application　scenarios.　We　initially　consider　two　straightforward　scenarios:　one　with　unlimited　storage　resources　under　the　bandwidth　constraint,　and　the　other　with　unlimited　bandwidth　resources　under　the　storage　constraint.　For　each　of　these　two　scenarios,　we　introduce　a　novel　enhanced　graph　construction　method　and　design　two　optimal　solutions.　For　Scenario　3,　which　involves　complex　constraints　on　server　capacity,　computational　capability,　and　communication　resources,　we　present　an　optimization　method　based　on　main　path　partitioning　and　the　simulated　annealing　algorithm.　We　effectively　tackle　challenges　arising　from　server　capacity,　computational　capability,　and　communication　resource　limitations.　Across　multiple　experimental　setups,　our　approach　significantly　improves　microservice　deployment　efficiency　and　overall　performance　compared　to　traditional　strategies.　©　2023　IEEE.