TAILIEUCHUNG - An EOQ inventory model for items with ramp type demand, three-parameter weibull distribution deterioration and starting with shortage

In this present paper an inventory model is developed with ramp type demand, starting with shortage and three – parameter Weibull distribution deterioration. A brief analysis of the cost involved is carried out by an example. | Yugoslav Journal of Operations Research Volume20 (2010), Number 2, 249-259 DOI: AN EOQ INVENTORY MODEL FOR ITEMS WITH RAMP TYPE DEMAND, THREE-PARAMETER WEIBULL DISTRIBUTION DETERIORATION AND STARTING WITH SHORTAGE Sanjay JAIN Department of Mathematical Sciences Government College Ajmer, Ajmer-305 001, India drjainsanjay@ Mukesh KUMAR Department of Mathematics Government College Kishangarh, Kishangarh-305 802, India Received: October 2006 / Accepted: November 2010 Abstract: In this present paper an inventory model is developed with ramp type demand, starting with shortage and three – parameter Weibull distribution deterioration. A brief analysis of the cost involved is carried out by an example. Keywords: EOQ, Weibull distribution deterioration, Shortage, ramp type demand. AMS Subject Classification: 90B05 1. INTRODUCTION A number of inventory models were developed by researchers assuming the demand of the items to be constant, linearly increasing or decreasing demand or exponentially increasing or decreasing with time. Later it was experienced that above demand patterns do not precisely depict the demand of certain items such as newly launched fashion goods and cosmetics, garments, automobiles etc; for which the demand increases with time as they are launched into the market and after some time it becomes constant. In order to consider the demand of such items, the concept of ramp type demand is introduced. Ramp type demand function depicts a demand, which increases up to a certain time after which it stabilizes and becomes constant. 250 S., Jain, M., Kumar / An EOQ Inventory Model for Items In recent years, there is a spate of interest in studying the inventory models for deteriorating items. Ghare and Schrader [5] were the earliest researchers who introduced the aspect of deterioration in the inventory models; they developed an inventory model for exponentially decay in which inventory is not only depleted by demand alone but .

• Kinh tế học
• Weibull distribution deterioration
• Ramp type demand
• EOQ inventory model
• Inventory model
• Deteriorating items
• Time varying demand
• Weibull distribution
• Deterministic inventory model
• Non decreasing function
• Non negative function
• Deteriorating item
• Economic order quantity model
• Inventory cost
• Stock level
• Backlog level
• Production cycle time
• Economic order quantity
• Inventory system
• Deteriorating inventory models
• Developed mathematical models
• Credit financing in economic ordering policies
• Non instantaneous deteriorating items with price dependent demand
• Permissible delay in payments
• The sensitivity analysis
• Function principle and signed distance method
• Non instantaneous deteriorates items
• Logarithmic demand
• Logarithmic inventory model
• Duration managers
• Committed customers
• Vendor buyers relationship model
• Trapezoidal fuzzy number
• Fuzzy trapezoidal costs
• Costs parameter
• Fuzzy inventory
• Backlogged shortages
• Dynamic demand
• Finite time horizon
• Exponential declining demand
• Partial backlogging
• EOQ inventory mathematical model
• Backlogging rate
• Inventory model for deteriorating items
• Varying demand pattern and unknown time horizon
• Varying demand pattern
• Three phase variation
• Inventory control with deteriorating items
• A state of the art literature review
• Multi echelon supply chain
• One echelon supply chain
• Integrated production inventory model
• Deteriorating items to evaluate JIT purchasing alliances
• Evaluate JIT purchasing alliances
• Time value of money
• Just in time purchasing
• Two warehouse inventory model
• Deteriorating items with price sensitive demand
• Partially backlogged shortages under inflationary conditions
• Comprehensive sensitivity analysis
• Price dependent demand
• Stocking and price reduction decisions
• Non instantaneous deteriorating items
• Complex and time consuming
• Decision making processes
• Controllable deterioration rate
• Preservation technology
• Time dependent holding cost
• Supply chain
• Trapezoidal type demand
• Manufacturer produces
• Trapezoidal type
• Back order profit
• Price and time dependent
• Price dependent exponential function
• Instantaneous deteriorating item
• Backorder rate and waiting time
• An integrated production inventory model
• oDeteriorating items subject to random machine breakdown
• Stochastic repair time
• Economic Production Quantity
• EPQ model
• Time dependent Demand
• Preventive Maintenance
• Lost Sales
• Critical model parameters
• Ramp type of demand
• EOQ model
• Unsatisfied demand
• Optimal replenishment policies
• Non instantaneous deterioration
• Stock dependent demand
• Mathematical model
• Sensitivity analysis
• Inventory control
• Inventory models
• Salvage value
• Cash discount
• Trade credit
• Time varying holding cost
• Triangular fuzzy number
• Signed distance method
• Fixed planning horizon
• Two component Demand
• Alternating demand rate
• Instantaneous inventory level