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研究时变变质率产品的订购与定价联合决策问题。以系统平均利润最大化为目标函数且将已变质产品的变质处理成本考虑在内,构建了相应的订购与定价联合决策模型,其中需求同时依赖于价格和库存水平、系统允许缺货且缺货量部分延迟订购。接着,对于已知的定价策略,证明并给出了最优补货策略唯一存在的充分条件;另一方面,对于已知补货策略的情况也证明了最优定价策略的存在性。此外,证明了在联合订购与定价决策下得到的最优销售价格总是大于单独进行定价决策时得到的最优价格。进而,在模型证明和分析的基础上给出一个寻求最优解的算法。最后,通过数值模拟的方法对模型中主要参数的灵敏度进行了分析,并给出相应的管理建议。结果表明:如果零售商忽略库存水平对需求的影响或变质处理成本,制定的销售价格将偏低;对于价格弹性较高的产品,零售商应采取低价销售策略;当顾客的等待耐心较差或产品的替代性较强时,最优策略应该是提高产品的销售定价并缩短缺货期。
Research on the problem of joint decision-making of pricing and time-varying mass-rate products. Considering the maximization of system average profit as the objective function and taking into account the deterioration of metamorphic products, a joint decision-making model of ordering and pricing is constructed, in which demand depends on both price and inventory level. The system allows out-of-stock and out-of-stock Volume partially delayed order. Then, for the known pricing strategy, the sufficient condition for the existence of the optimal replenishment strategy is proved and given. On the other hand, the existence of the optimal pricing strategy is proved for the known replenishment strategy. In addition, it is proved that the optimal sales price obtained under the joint subscription and pricing decision is always greater than the optimal price obtained when the pricing decision is made separately. Furthermore, an algorithm to find the optimal solution is given based on the model proof and analysis. Finally, the sensitivity of the main parameters in the model is analyzed by numerical simulation and the corresponding management suggestions are given. The results show that if the retailer neglects the impact of inventory level on demand or deterioration cost, the sales price will be low. For the product with higher price elasticity, the retailer should adopt a low sales strategy. When the customer’s waiting patience is poor Or when product substitution is strong, the optimal strategy should be to increase the sales pricing of the product and shorten the out-of-stock period.