The product transport packaging system, while sharing the similar mathematical model with the dynamic vibration

absorber (DVA), embodies fundamentally different design objectives. Therefore, this paper focuses on the inverse problem of cushion packaging based on the reverse thinking of DVA, exploring the H_∞ and H₂ optimization theories for the acceleration response of cushion packaging systems with consideration for critical component at triple fixed-point. It also provides suggestions for designing cushion packaging parameters based on the optimal criteria of H_∞ and H₂. For H_∞ optimization criteria, the amplitude-frequency response curve of the critical component exhibits a distinct triple fixed-point phenomenon, which deviates from the classical dual fixed-point theory, and an innovative "triple fixed-point extremum" theory is proposed, leading to closed-form solutions for the optimal damping ratio \xi _opt and natural frequency ratio \beta _opt .For H₂ optimization criteria, a performance metric I is formulated and analytical derivations demonstrate that no optimal natural frequency ratio \beta _opt exists within the feasible parameter space.Moreover, the optimal damping ratio \xi _opt influenced not only by the mass ratio \mu but also the natural frequency ratio \beta .Furthermore, under both optimization criteria, a parametric mapping model between packaging mass m_0 and stiffness k_0 is established based on the known dynamic parameters of critical components ( m_1,k_1,c_1 ), enabling a stiffness-mass co-designapproach for the cushion packaging system with consideration for the critical components. The proposed optimal design methodology takes into account the specific requirements of critical components, ensuring enhanced protection and reliability during transportation. It provides a theoretical foundation and technical support for the optimal design of cushion packaging.