# An EOQ Model of Selling-Price-Dependent Demand for Non-Instantaneous Deteriorating Items during the Pandemic COVID-19

## Authors

• Susanta Kumar INDRAJITSINGHA Department of Mathematics, Saraswati Degree VidyaMandir, Neelakantha Nagar, Berhampurr-760 002, Odisha, India https://orcid.org/0000-0002-2550-8076
• Padmini Raulo Department of Mathematics, Chikiti Mahavidyalaya, Chikiti, Odisha, India
• Padmanava SAMANTA Department of Mathematics, Berhampur University, Berhampur, Bhanja Bihar-760007, Odisha, India
• Umakanta MISRA NIST, Palur Hills, Berhampur- 761 008, Odisha, India https://orcid.org/0000-0003-3196-8949
• Lakshmi Kanta RAJU NIST, Palur Hills, Berhampur- 761 008, Odisha, India

## Keywords:

Deterioration, Shortage, Partially-backlogged, Selling-price-dependent demand, Pandemic, COVID-19, EOQ model

## Abstract

A pricing factor plays a dominant role in consumer behavior in most countries affected by the COVID19 pandemic. People have lost their job while others renegotiated for low-paying jobs during this pandemic. Thus, this article aims to develop a viable model to consider various aspects of the COVID19 pandemic. Here, we develop an optimal ordering quantity inventory model of deteriorating items, which are still in demand depending upon the selling price of the product. The items are assumed to be non-instantaneous deteriorating. The shortage is allowed in lead time and is partially backlogged. A solution procedure is presented to determine an optimal cycle, order quantity, and total average cost. A realistic numerical example is given to validate the proposed model by changing different systems of parameters, where sensitivity analysis has been carried out. The effectiveness of the system has been observed through graphical representation.

HIGHLIGHTS

• The study considers the inventory model for non-instantaneous deteriorating items.
• Selling price dependent demand is incorporated. The shortage is allowed in lead time and is partially backlogged.
• Theoretical results have been formed to characterize the optimal solutions.
• The effect of key parameters is studies rigorously.

GRAPHICAL ABSTRACT

## Author Biographies

### Umakanta MISRA, NIST, Palur Hills, Berhampur- 761 008, Odisha, India

He is a retired professor in Department of Mathematics Berhampur University. He has nearly 23 PhDs and 3 D.Scs to his credit. His papers more than 200 were published in various esteemed reputable International Journals. He is a Member of Various Professional Bodies. He published four books on Mathematics. He received so many prestigious awards and rewards. Presently he is working as a professor in the Deptt. Of Mathematics, National Institute of Science and Technology, Berhampur, Odisha.

### Lakshmi Kanta RAJU, NIST, Palur Hills, Berhampur- 761 008, Odisha, India

Presently he is working as a Associate Professor in the Department of Mathematics, National Institute of Science and Technology, Odisha, India.  He is completed his M.Sc and M.Phil. in Mathematics from Berhampur University and Ph.D. from Utkal University.  He has 12 years teaching experience.

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2021-06-12

## How to Cite

INDRAJITSINGHA, S. K. ., RAULA, P. ., SAMANTA, P. ., MISRA, U. ., & RAJU, L. K. . (2021). An EOQ Model of Selling-Price-Dependent Demand for Non-Instantaneous Deteriorating Items during the Pandemic COVID-19. Walailak Journal of Science and Technology (WJST), 18(12), Article 13398 (14 pages). https://doi.org/10.48048/wjst.2021.13398

Research Article