Abstract
The paper deals with an economic order quantity model for variable lead-time, order dependent purchasing cost, order size, reorder point and lead-time dependent partial backlogging. The average expected cost function is formulated by trading off setup cost, purchasing cost, lead-time crashing cost, inventory cost and costs of lost sale and partial backordering. In this cost function, order quantity, reorder point and lead-time are decision variables. The above average expected cost function is analysed by calculus method in light of both distribution-free and known distribution function. Numerical example is illustrated to justify our proposed model.
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