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Single-vendor multi-buyer integrated production-inventory model with controllable lead time and service level constraints

机译：具有可控提前期和服务水平约束的单供应商多买方集成生产库存模型

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摘要

This paper presents an integrated production-inventory model where a vendor produces an item in a batch production environment and supplies it to a set of buyers. The buyer level demand is assumed to be independent normally distributed and lead time of every buyer can be reduced at an added crash cost. The buyers review their inventory using continuous review policy, and the unsatisfied demand at the buyers is completely backordered. A model is formulated to minimize the joint total expected cost of the vendor-buyers system to determine the optimal production-inventory policy. Since it is often difficult to estimate the stock-out cost in inventory systems, and so instead of having stock-out cost component in the objective function, a service level constraint (SLC) corresponding to each buyer is included in the model. A Lagrangian multiplier technique based algorithmic approach is proposed, which evaluates a very limited number of combinations of lead time of the buyers to find simultaneously the optimal lead time, order quantity and safety factor of the buyers and the number of shipments between the vendor and the buyers in a production cycle. Finally, a numerical example and effects of the key parameters are included to illustrate the results of the proposed model.
机译：本文提出了一个集成的生产库存模型，其中卖方在批量生产环境中生产物料并将其提供给一组买方。假定买方级别的需求是独立的正态分布，并且可以以增加的崩溃成本减少每个买方的交货时间。买方使用连续审查策略审查其库存，并且买方的未满足需求已完全缺货。制定了一个模型以最小化卖方-买方系统的联合总预期成本，以确定最佳的生产库存策略。由于通常很难估算库存系统中的缺货成本，因此，除了在目标函数中没有缺货成本成分之外，模型中还包括与每个购买者相对应的服务水平约束（SLC）。提出了一种基于拉格朗日乘子技术的算法方法，该方法评估了买方提前期的数量非常有限的组合，以同时找到最佳提前期，买方的订货量和安全系数以及卖方与卖方之间的发货数量。生产周期中的购买者。最后，包括一个数值示例和关键参数的影响来说明所提出模型的结果。

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