An optimal inventory replenishment policy for a deteriorating item with time-quadratic demand and time-dependent partial backlogging with shortages in all cycles

作者：Sarkar T; Ghosh S K^*; Chaudhuri K S

来源：Applied Mathematics and Computation, 2012, 218(18): 9147-9155.

DOI：10.1016/j.amc.2012.02.072

• Inventory
• Deterioration
• Time-quadratic demand
• Partial backlogging
• Shortage
• Variable replenishment

The paper deals with an optimal inventory replenishment policy for a deteriorating item considering time-quadratic demand and time-dependent partial backlogging which depends on the length of the waiting time for the next replenishment over a finite time horizon and variable replenishment cycle. The model is solved analytically to obtain the optimal solution of the problem. It is then illustrated with the help of numerical examples.

• 出版日期2012-5-15