An optimal policy for deteriorating items with time-proportional deterioration rate and constant and time-dependent linear demand rate

Authors

  • Hadibandhu Pattanayak Department of Mathematics, Ravenshaw University, Cuttack, Odisha, 753003, India
  • Pandit Jagatananda Mishra Department of Mathematics, Ravenshaw University, Cuttack, Odisha, 753003, India
  • Trailokyanath Singh Department of Mathematics, C. V. Raman College of Engineering, Bhubaneswar, Odisha, 752054, India
Abstract:

In this paper, an economic order quantity (EOQ) inventory model for a deteriorating item is developed with the following characteristics: (i) The demand rate is deterministic and two-staged, i.e., it is constant in first part of the cycle and linear function of time in the second part. (ii) Deterioration rate is time-proportional. (iii) Shortages are not allowed to occur. The optimal cycle time and the optimal order quantity have been derived by minimizing the total average cost. A simple solution procedure is provided to illustrate the proposed model. The article concludes with a numerical example and sensitivity analysis of various parameters as illustrations of the theoretical results.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

An Optimal Inventory Policy for Items Having Constant Demand and Constant Deterioration Rate with Trade Credit

In most of the classical inventory models the demand is considered as constant. In this paper the model has been framed to study the items whose demand and deterioration both are constant. The authors developed a model to determine an optimal order quantity by using calculus technique of maxima and minima. Thus, it helps a retailer to decide its optimal ordering quantity under the constraints o...

full text

An inventory model for deteriorating items with time-dependent demand and time-varying holding cost under partial backlogging

In this paper, we considered a deterministic inventory model with time-dependent demand and time-varying holding cost where deterioration is time proportional. The model considered here allows for shortages, and the demand is partially backlogged. The model is solved analytically by minimizing the total inventory cost. The result is illustrated with numerical example for the model. The model ca...

full text

EOQ Model for Deteriorating Items with Linear Time Dependent Demand Rate under Permissible Delay in Payments

 This study presents an inventory model for deteriorating items with linearly time-dependent demand rate under trade credits. Mathematical models have been derived under four different situations i.e. Case 1 : The cycle time T is greater than or equal to M1, to get a cash discount, Case 2 : The cycle time T is less than M1, Case 3 : The cycle time is greater than or equal to M2, and Case 4 : T...

full text

An inventory model of instantaneous deteriorating items with controllable deterioration rate for time dependent demand and holding cost

Purpose: The purpose of this paper to develop an inventory model for instantaneous deteriorating items with the consideration of the facts that the deterioration rate can be controlled by using the preservation technology (PT) and the holding cost & demand rate both are linear function of time which was treated as constant in most of the deteriorating inventory model. Design/methodology/approac...

full text

Two-Warehouse Inventory Model for Deteriorating Items with Time-Dependent Demand and Partial Backlogging Under Inflation

This paper deals with a two-warehouse inventory model for deteriorating items with time dependent demand and partial backlogging under inflation. It is assumed that deterioration of items follows two-parameter Weibull distribution and demand rate varies exponentially with time. Shortages are allowed and partial backlogging depends on waiting time of next replenishment. A numerical example is pr...

full text

EOQ Model for Deteriorating Items with Exponential Time Dependent Demand Rate under Inflation When Supplier Credit Linked to Order Quantity

In paper (2004) Chang studied an inventory model under a situation in which the supplier provides the purchaser with a permissible delay of payments if the purchaser orders a large quantity. Tripathi (2011) also studied an inventory model with time dependent demand rate under which the supplier provides the purchaser with a permissible delay in payments. This paper is motivated by Chang (2004) ...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 13  issue 4

pages  -

publication date 2017-12-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023