Jñānābha‎, Vol. 50 (1) (2020), 115-133

CUBICAL POLYNOMIAL TIME FUNCTION DEMAND RATE AND PARETO TYPE PERISHABLE RATE BASED INVENTORY MODEL WITH PERMISSIBLE DELAY IN PAYMENTS UNDER PARTIAL BACKLOGGING

By

Ganesh Kumar1, Sunita2 and Ramesh Inaniyan3
1,2,3Departmentof Mathematics, University of Rajasthan, Jaipur-302004
Email:ganeshmandha1988@gmail.com, sunitarolan95@gmail.com and
rameshinaniyan05@gmail.com
(Received : March 28, 2020 ; Revised: May 17, 2020)


Abstract

In present paper an inventory model is produced for immediate transient things with cubical polynomial time function demand rate and pareto type perishable rate with permissible delay in payments. Deficiencies are permitted and partially backlogged for the next replenishment cycle. Holding cost is linear function of time. The fundamental motivation of this paper is to examine the retailer’s ideal strategy that minimizes the retailer’s yearly total cost per unit time under reasonable deferral in instalments inside the EOQ structure. Numerical results are shown for proposed model. Sensitivity investigation of the ideal arrangements regarding various parameters is examined.

2010 Mathematics Subject Classifications: 90B05, 90B10, 90B15
Keywords and phrases: Inventory, Instantaneous deterioration, Pareto perishable rate, Cubical polynomial time function demand rate, Permissible delay in payments.