An Inventory Model with Fuzzy Valued Inventory Costs under Inflation Price and Time Dependent Demand

Mandeep Singh, Department of Mathematics, Shyamlal Sarswati Mahavidyalya, Shikarpur, Bulandshhar, U.P. Dr. Ravendra Kumar, Department of Mathematics, V R A L Govt Girls Degree College, Bareilly, 243006, U.P. Gaurav Gupta, Department of Mathematics, Shyamlal Sarswati Mahavidyalya, Shikarpur, Bulandshhar, U.P
  DOI: 10.62796/pijst.2024v1i7003   DOI URL: https://doi.org/10.62796/pijst.2024v1i7003
Published Date: 08-07-2024 Issue: Vol. 1 No. 7 (2024): July 2024 Published Paper PDF: Download

Abstract- In this work, we have created a fuzzy inventory model for degrading goods that takes the system’s impact of inflation into account and includes price and time-dependent demand. If there are any shortages, they are permitted and will be partially backlogged at a variable rate based on how long it takes for the next lot to arrive. The corresponding problem has been presented as an optimisation problem with constraints that is nonlinear; all of the cost parameters have been addressed with fuzzy values. To demonstrate the paradigm, a numerical example has been examined, and the key findings are highlighted. Ultimately, using these instances as a basis, sensitivity assessments were conducted by examining one parameter at a time while maintaining the same values for the other parameters.

Keywords: Inventory, deterioration, time dependent demand, partially backlogged shortage, inflation, fuzzy valued inventory costs.