eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences October, 2017 29 10 309 318 http://dx.doi.org/10.22147/jusps-B/291009 863 article A. K. MALIK 1 SANJAY KUMAR 2 SATISH KUMAR (skg22967@gmail.com) 3 Associate Professor, Department of Mathematics, B.K. Birla Institute of Engineering & Technology, Pilani, Rajasthan (India) Research Scholar, Department of Mathematics, Singhania University Pacheri badi, Jhunjhunu Rajasthan, (India) Associate Professor, Department of Mathematics, D.N. PG College, Meerut, U.P. (India) <p style="text-align: justify;">In this paper, a two warehouses inventory model with stock-dependent demand has been studied. In case there is limited capacity of the owned warehouse (OW), another warehouse is used named rented warehouse (RW) for large ordered quantity. The deterioration rate of inventory items is different in both the warehouses. In the case of OW, we allow for shortages and consider the time dependent backlogging rate. To achieve the optimal ordered quantity and the optimal interval for the total inventory cost, a solution procedure is established and it concludes the developed model with further extended environments.</p> https://ultraphysicalsciences.org/paper/863/ Inventory, rented warehouse own warehouse backlogging rate maximum life time