A　melt-cast　Duan-Zhang-Kim　(DZK)　mesoscopic　reaction　rate　model　is　developed　for　the　shock　initiation　of　melt-cast　explosives　based　on　the　pore　collapse　hot-spot　ignition　mechanism.A　series　of　shock　initiation　experiments　was　performed　for　the　Comp　B　melt-cast　explosive　to　estimate　effects　of　the　loading　pressure　and　the　particle　size　of　granular　explosive　component,and　the　mesoscopic　model　is　validated　against　the　experimental　data.Further　numerical　simulations　indicate　that　the　initial　density　and　formula　proportion　greatly　affect　the　hot-spot　ignition　of　melt-cast　explosives.