TWO-WAREHOUSE INVENTORY MODEL FOR DETERIORATING ITEMS WITH AGENERALIZED EXPONENTIAL INCREASING DEMAND AND PARTIALBACKLOGGING UNDER INFLATION USING BACTERIAL FORAGINGOPTIMIZATION

Abstract

This paper proposes the application of Bacterial Foraging Optimization (BFO) in the development
of a two-warehouse inventory model for deteriorating items with a demand rate characterized as a
generalized exponential function of time. The model aims to address practical shortages in daily
supply chain scenarios, incorporating backlogging to enhance its real-world relevance. To account
for economic factors, an inflation factor is introduced. Leveraging BFO, a cost minimization
technique is employed to derive expressions for total cost. The effectiveness of the model is
demonstrated through a numerical example, and graphical representations of various parameters
provide a visual validation of the results. The integration of BFO in this inventory optimization
model showcases its potential for solving complex real-world problems in supply chain
management.

Keywords: - Two-Warehouse, inventory model, Generalized Exponential Increasing Demand,
Partial Backlogging and inflation.