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EOQ Model with Time Dependent Demand Rate and Time Dependent Holding Cost Function

R. P. Tripathi
2011 International Journal of Operations Research and Information Systems  
In this paper the authors consider the continuous deterministic, infinite horizon, single item inventory system within the setting of a retailer sector in which the demand rate for an item is time dependent  ...  The optimal policies are found, and decision rules and classical EOQ model have been obtained by considering two different models. Numerical examples are given to illustrate the proposed models.  ...  (2009) obtained an EOQ model for perishable items with power demand and partial backlogging in which he considered demand rate is time-dependent.  ... 
doi:10.4018/joris.2011070106 fatcat:4o42tisibfeebmziqvyuvghrze

Inventory model with different demand rate and different holding cost

R.P. Tripathi
2013 International Journal of Industrial Engineering Computations  
This paper deals with the development of an inventory model for time varying demand and constant demand; and time dependent holding cost and constant holding cost for case 1 and case 2 respectively.  ...  Mathematical model has been developed for determining the optimal order quantity, the optimal cycle time and optimal total inventory cost for both cases.  ...  Acknowledgments The author would like to express his heartfelt thanks to anonymous referees and editor for their most valuable comments and constructive suggestions that have led to a significant improvement  ... 
doi:10.5267/j.ijiec.2013.03.001 fatcat:jbzdszqa3ve6dmiabkaecmcn2y

Production-inventory system with finite production rate, stock-dependent demand, and variable holding cost

Hesham K. Alfares
2014 Reserche operationelle  
Variable holding cost models assume the holding cost per unit per time period to be a function of the time spent in storage.  ...  In this paper, the three simplifying assumptions are simultaneously relaxed in a new production-inventory system with a finite production rate, stock-level dependent demand rate, and variable holding cost  ...  The author is grateful to the Fulbright Foundation for the funding of this research, and to the University of North Carolina, Charlotte, for the kind hospitality.  ... 
doi:10.1051/ro/2013058 fatcat:zp7m34qrjbbdbfvujijfdnogye

An Evolutionary Based Optimization for Price Varying Demand Inventory Model with Linear Holding Cost

Sandesh Kurade
2021 Journal of scientific research  
Model is developed by assuming cost of sale sensitive market demand, continuous time varying holding cost, and exponential distributed deterioration under partial shortages with time dependent backlog  ...  The formulated model will be useful for single as well as multi tier food processing supply chains. Profit function of the model is formed by considering various cost components of the model.  ...  MATHEMATICAL MODEL In this study, an EOQ inventory model by considering price varying demand, exponential deterioration and time dependent linear holding cost is developed.  ... 
doi:10.37398/jsr.2021.650910 fatcat:od7ocxvy3zfdxmgbhx3tvngnjm

An optimal EOQ inventory model for non-instantaneous deteriorating items with ramp type demand rate, time dependent holding cost and shortages

K Rangarajan, K Karthikeyan
2017 IOP Conference Series: Materials Science and Engineering  
An economic order quantity inventory model for non-instantaneous deteriorating items has been developed with ramp type demand rate, time dependent deterioration rate and time dependent holding cost.  ...  The main objective of this model is to develop an optimal replenishment policy that minimizes the total average inventory cost. Numerical examples are used to illustrate the developed model.  ...  An EOQ models for non-instantaneous deteriorating items [6] is developed with cubic demand rate, time dependent holding cost and allowed permissible delay in payments.  ... 
doi:10.1088/1757-899x/263/4/042153 fatcat:b62jjhra5rhzjm4mlb5k6hjj7i

Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost

L.A. San-José, J. Sicilia, J. García-Laguna
2015 Omega : The International Journal of Management Science  
The backordering cost includes a fixed cost and a cost linearly dependent on the length of time for which backorder exists.  ...  the item in the warehouse and a variable cost given by a potential function of the length of time over which the item is held in stock.  ...  Alfares [1] developed the inventory policy for an item with a stocklevel dependent demand rate and a storage-time dependent holding cost.  ... 
doi:10.1016/j.omega.2015.01.007 fatcat:fzpz5dtzbne5vjvduc3ykmwenq

An EOQ model for weibull distribution deterioration with time-dependent cubic demand and backlogging

G Santhi, K Karthikeyan
2017 IOP Conference Series: Materials Science and Engineering  
In this paper, an attempt has been made to develop an inventory model for deteriorating items with uniform replenishment rate with power form demand and without shortages.  ...  The rate of deterioration is a cubic polynomial as a function of time.  ...  Roy (2008) developed a deterministic inventory model when the deterioration rate is time proportional. Demand rate is a function of selling price and holding cost is time dependent.  ... 
doi:10.1088/1757-899x/263/4/042132 fatcat:mv7ijnm33vbh3dscim4e2zg5e4

Quadratic demand, Variable holding cost with Time Dependent Deterioration without Shortages and Salvage Value

R. Mohan
2017 IOSR Journal of Mathematics  
This model has been developed considering demand function as quadratic with respect to time and salvage value is associated to the deteriorated items.  ...  In this paper, an attempt has been made to study deterministic inventory models for deteriorating items with variable holding cost.  ...  Mohan and Venkateswarlu (2013a) studied an EOQ models with holding cost as function of time and salvage value.  ... 
doi:10.9790/5728-1302055966 fatcat:zttmrlfkc5edjprpfzzf6rlota

An EOQ Model with Polynomial of Nth Degree Demand Rate, Constant Deterioration, Linear Holding Cost and Without Shortages under Inflation

Vijay Singh Rajput, Yogesh Kumar, Amit Kumar vats, Ranjeet Kaur
2016 IOSR Journal of Mathematics  
with price dependent demand and time varying holding cost under trade credi, issue-1.  ...  In this paper, an inventory model is developed where demand rate is generalized as a polynomial of n th degree with constant deterioration rate. The holding cost is a linear function of time.  ...  The model is very practical for the industries in which the demand rate is depending upon the time and holding cost is linear function with inflation.  ... 
doi:10.9790/5728-1204048792 fatcat:upm44gfrkncbnl3hz7h7dmqzm4

Inventory control with deteriorating items: A state-of-the-art literature review

Narges Khanlarzade, Babak Yousefi Yegane, Isa Nakhai Kamalabadi, Hiwa Farughi
2014 International Journal of Industrial Engineering Computations  
In the mentioned tables, the papers were classified in terms of the type of demand rate, deterioration rate, solution procedure and findings.  ...  Finally, the summary of the studies is shown in two tables for oneechelon and multi-echelon supply chain including the main information and assumptions of each paper.  ...  Alfares (2007) considered an inventory control model with inventory dependent demand and variable holding cost where the holding cost was dependent upon shortage time.  ... 
doi:10.5267/j.ijiec.2013.11.003 fatcat:r3stjx4bwvempboxb5b5ei3bjy

An Inventory Model for Perishable Items Having Constant Demand with Time Dependent Holding Cost

Sarbjit Singh
2016 Mathematics and Statistics  
This paper presents an inventory model for perishable items with constant demand, for which holding cost increases with time, the items considered in the model are deteriorating items with a constant rate  ...  In this paper the time dependent linear holding cost has been considered, the holding cost for the items increases with time. The approximate optimal solution has been obtained.  ...  Earlier Muhlemann & Spanopoulos [10] revised the classical EOQ model with time dependent holding cost and permissible delay in payments.  ... 
doi:10.13189/ms.2016.040202 fatcat:pd2ushuh6reuzijixeuxqple54

An EOQ model for time-dependent deteriorating items with alternating demand rates allowing shortages by considering time value of money

Antara Kundu, Priya Chakrabarti, Tripti Chakrabarti
2013 Yugoslav Journal of Operations Research  
The holding cost and shortage cost are taken as a linear function of time. The total cost function per unit time is obtained.  ...  The present paper deals with an economic order quantity (EOQ) model of an inventory problem with alternating demand rate: (i) For a certain period, the demand rate is a non linear function of the instantaneous  ...  This model will run with time-dependent holding and shortage cost. Here we have taken two-component demand.  ... 
doi:10.2298/yjor130120022k fatcat:ic2qxkk4xfhnreg5wce2fepzhm

Innovative investigation of stock-sensitive demand induced economic order quantity (EOQ) model for deterioration by means of inconsistent holding cost functions

R. P. Tripathi
2020 SN Applied Sciences  
Holding cost is measured as portion of inventory echelon for model I and linearly stock dependent for model II. Mathematical models are also presented for these two models.  ...  This study, sets up an EOQ model for spoiling commodities by means of inventory tempt demand.  ...  Giri and Chaudhuri [6] established EOQ model for unpreserved item for consumption with stock-associated demand and erratic holding cost.  ... 
doi:10.1007/s42452-020-2007-x fatcat:st76odfixvaqrkd4gz6eb7cp54

Fuzzy Inventory Model with Single Item Under Constant Demand and Time Dependent Holding Cost

Niyati Misra, Srichandan Mishra
2016 Zenodo  
The objective of this model is to discuss the inventory model for constant demand and time dependent holding cost.  ...  Mathematical model has been developed for determining the optimal order quantity, the optimal cycle time and optimal total inventory cost in fuzzy environment.  ...  Goh (1994) [6] presented an EOQ model with general demand and holding cost function and demand rate for an item was considered as a function of existing inventory level and carrying cost per unit was  ... 
doi:10.5281/zenodo.3977361 fatcat:l2cm2ynmyrfp5m3gewvbcf72lq

A Concept on Order Quantity at Varying Cost in Variable Rate of Production Situation

2019 International journal of recent technology and engineering  
This study is based on a model for stock with multi-item and when per unit cost is dependent on demand and crashing cost of leading time is dependent on lead time.  ...  Traditional EOQ theory, assumes majorly two factors that is demand and per unit cost. It is assumed that demand remains constant and can be determined at any level.  ...  This study is based on a model for stock with multi-item and when per unit cost is dependent on demand and crashing cost of leading time is dependent on lead time.  ... 
doi:10.35940/ijrte.c1024.1083s219 fatcat:h2doqeqhr5bq7p6nvmltdjtl5m
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