eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences December 2009 21 3 787 794 jusps-A 1259 article An Inventory Model with Linear Demand Rate, Finite Rate of Production with Shortage and Complete Backlogging C. K. TRIPATHY (c.tripathi@yahoo.com) 1 U. MISHRA 2 C.K. SAHOO 3 Department of Statics, Sambalpur University, Jyoti Vihar, Sambalpur - 768019 (INDIA) Department of Mathematics, P.K.A, College of Engg. Chakarkends , baragarh- 768028 (INDIA) Department of Mathematics, Xavier of Technology, Gangapatana, Bhubaneswar (INDIA) <p style="text-align: justify;">This paper deals with in developing inventory model with linear demand rate allowing shortages in the inventory. These shortages are considered to be completely backlogged. We have assumed that the production rate is finite and proportional to the demand rate. The analytical solution of the model has been done to obtain the optimal solution of the problem. Suitable numerical example has been discussed have to understand the problem. This model is suitable in case of steady increase or decrease in the demand in the market for some product.</p> https://www.ultrascientist.org/paper/1259/ Inventory Economic order quantity demand Shortage