As long as extended producer responsibility comes to effect, appliance producers should take the responsibility to recover and reuse the products. Thus, how to disassemble and reuse the discarded appliances scientifically and work out the optimal recovery and disposal strategies are now the key problems the appliance producers confront with. This paper adopts theories related to products regeneration management and disassembly and recovery assessment. It firstly deals with the disassembly stage of discarded appliances recovered and the principle of disassembly evaluation. It then takes the recovery of discarded computers as an example, setting up the disassembly tree, comparing the different strategies between reusing and recovering discarded appliances and waste disposal. What's more, it analyzes the feasibility of the recovery and disposal plan from the prospects of economy, environmental protection, technology and law, establishes the feasibility criteria and eventually sets up 0-1 goal programming mathematical models, carrying out the quantitative calculation toward the economic and environment load of the plan, which deals with the recovery and disposal plan for discarded appliance, in order to provide better help for the appliance producers to determine and choose an optimal plan for recovery and disposal.