Rabeya Sarker

Mrs. Rabeya Sarker


Research Focus & Metrics

Academic Career Length

3Years (2024-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

View All Publications
12 December 2024 in Computation
Verified
Journal Article
Open access
PDF file
RSRabeya Sarker
Rabeya Sarker
MUMd Sharif Uddin
Md Sharif Uddin
AHAbu Helal
Abu Helal
AKAminur Rahman Khan
Aminur Rahman Khan
AAAli AlArjani
Ali AlArjani
EAEl-Awady Attia
El-Awady Attia
This paper formulates six inventory models for products with instantaneous deterioration, focusing on the impacts of full and partial advance payment structures. The demand function depends on both price and stock levels and accounts for shortages through full backlogging. The primary objective is to determine the optimal payment policy under varying trade facilities, analyzing six distinct payment scenarios commonly employed in business practice. Each model is presented with closed-form solutions and supported by mathematical formulations. For each case, algorithms and mathematical proofs are developed to determine the optimal cycle duration and corresponding unit cost. Numerical examples and 2D graphical representations generated using MATLAB are included to validate the proposed models. Additionally, a sensitivity analysis is conducted to examine the effects of each payment policy and parameter variation, providing key managerial insights into payment planning in inventory management.