This paper deals with the problem of planned lead time calculation in a Material Requirement Planning （MRP） environment under stochastic lead times. The objective is to minimize the sum of holding and backlogging co...This paper deals with the problem of planned lead time calculation in a Material Requirement Planning （MRP） environment under stochastic lead times. The objective is to minimize the sum of holding and backlogging costs. The proposed approach is based on discrete time inventory control where the decision variables are integer. Two types of systems are considered： multi-level serial-production and assembly systems. For the serial production systems （one type of component at each level）, a mathematical model is suggested. Then, it is proven that this model is equivalent to the well known discrete Newsboy Model. This directly provides the optimal values for the planned lead times. For multilevel assembly systems, a dedicated model is proposed and some properties of the decision variables and objective function are proven. These properties are used to calculate lower and upper limits on the decision variables and lower and upper bounds on the objective function. The obtained limits and bounds open the possibility to develop an efficient optimization algorithm using, for example, a Branch and Bound approach. The paper presents the proposed models in detail with corresponding proofs and se＇~eral numerical examples. Some advantages of the suggested models and perspectives of this research are discussed.展开更多
The COVID-19 pandemic has brought unprecedented severe challenges to global supply chains and has triggered discussion about supply chain resilience(SCR).In the post-pandemic era,although residents’consumption has re...The COVID-19 pandemic has brought unprecedented severe challenges to global supply chains and has triggered discussion about supply chain resilience(SCR).In the post-pandemic era,although residents’consumption has rebounded under the stimulation of the government’s financial policies and the disruption of the supply chain has been alleviated,firms still face great challenges of restarting their supply chains.On the one hand,the global supply chain is still fragile.The outbreak of the epidemic may continue,and the risk of supply chain disruption cannot be ignored.On the other hand,the manufacturer’s production cost is further increased due to the substantial increase in international raw material prices,labor costs and transportation costs,and the production cycle is further prolonged.Therefore,SCR in the post-epidemic era is subject to multiple challenges from the external environment,as well as both supply and demand sides.展开更多
文摘This paper deals with the problem of planned lead time calculation in a Material Requirement Planning （MRP） environment under stochastic lead times. The objective is to minimize the sum of holding and backlogging costs. The proposed approach is based on discrete time inventory control where the decision variables are integer. Two types of systems are considered： multi-level serial-production and assembly systems. For the serial production systems （one type of component at each level）, a mathematical model is suggested. Then, it is proven that this model is equivalent to the well known discrete Newsboy Model. This directly provides the optimal values for the planned lead times. For multilevel assembly systems, a dedicated model is proposed and some properties of the decision variables and objective function are proven. These properties are used to calculate lower and upper limits on the decision variables and lower and upper bounds on the objective function. The obtained limits and bounds open the possibility to develop an efficient optimization algorithm using, for example, a Branch and Bound approach. The paper presents the proposed models in detail with corresponding proofs and se＇~eral numerical examples. Some advantages of the suggested models and perspectives of this research are discussed.
文摘The COVID-19 pandemic has brought unprecedented severe challenges to global supply chains and has triggered discussion about supply chain resilience(SCR).In the post-pandemic era,although residents’consumption has rebounded under the stimulation of the government’s financial policies and the disruption of the supply chain has been alleviated,firms still face great challenges of restarting their supply chains.On the one hand,the global supply chain is still fragile.The outbreak of the epidemic may continue,and the risk of supply chain disruption cannot be ignored.On the other hand,the manufacturer’s production cost is further increased due to the substantial increase in international raw material prices,labor costs and transportation costs,and the production cycle is further prolonged.Therefore,SCR in the post-epidemic era is subject to multiple challenges from the external environment,as well as both supply and demand sides.
