Determining the optimal procurement policy and maximum allowable lifespan for machining tools with stochastically distributed toollife

Abstract

For high-value added products, machining tools' lifespan significantly influences the quantity of procurement in machining process. Preemption of tools from the workpiece while processing is continuing is sometime beneficial to safeguard the product from the damage due to tool failure or its malfunction. Also an early discard of a tool is costly for the manufacturing operation. Therefore an optimal strategy for the tool life is sought here to determine the maximum allowable tool lifespan to preempt from the workpiece and to have an appropriate amount of tool stock in the crib to ascertain the proper running of the production schedule and tool inventory. Therefore, an impact of the machining tool lifespan on the production-inventory policy of the system is investigated in this paper. An integrated lifespan related inventory model for machining tools is developed to meet the responding accurate requirement of procurement and inventory. Two numerical examples are presented to illustrate the integrated model. The results show that the practical lifespan adoption of machining tools has significant impact on the whole quantity of procurement, and eventually influences the coordinating economic decision making.

Optimal control of an inventory system under whole sale price changes

“…Pal et al [22] investigated pricing and ordering policy in a two-echelon supply chain considering that the products can be defected with a random rate and the defected items can be reworked and sold. Li et al [14] obtained an optimal policy when there is some machining tools with probabilistic lifespan and obtained maximum allowable life span. Karimi-Nasab and Wee [12] developed an inventory control model when the time between two consecutive replenishments is probabilistic and formulated the model when it follows truncated exponential distribution.…”