**InternationaleJournals**

**AN INVENTORY MODEL WITH LINEAR DEMAND RATE FOR DETERIORATING ITEMS, WITH PARTIAL BACKLOGGING.**

**L.K.Raju ^{1}, U.K. Misra^{2} and G.Mishra^{3}**

1Department of Mathematics, National Institute of Science and Technology,Berhampur-761008, Odisha. Email: lkraju75@gmail.com

2 Department of Mathematics, National Institute of Science and Technology,Berhampur-761008, Odisha. Email: umakanta_misra@yahoo.com

3 Department of Statistics, Utkal University, Bhubaneswara, Odisha. Email:gmishrauu@gmail.com

**ABSTRACT**

The objective of this model is to investigate the inventory system for perishable items with linear demand pattern where constant deterioration is considered. Here shortages are allowed and are partially backlogged. The economic order quantity is determined for minimizing the average total cost per unit time. The result is illustrated with numerical example.

**Keywords:** Inventory system, Linear demand, Deterioration, Partial Backlogging, Shortage.

**AMS Classification** : 90B05

**International
eJournal of Mathematical Sciences, Technology and Humanities**

**Volume** **3**,
**Issue** **2**, **Pages**: ** **965 - 972