scholarly journals Continuous review inventory models under time value of money and crashable lead time consideration

2011 ◽  
Vol 21 (2) ◽  
pp. 293-306 ◽  
Author(s):  
Kuo-Chen Hung
Keyword(s):  
Sensitivity Analysis ◽  
Lead Time ◽  
Traditional Approach ◽  
Optimal Solution ◽  
Time Factors ◽  
Optimal Order ◽  
Simple Method ◽  
Time Value Of Money ◽  
Time Value ◽  
Value Of Money

A stock is an asset if it can react to economic and seasonal influences in the management of the current assets. The financial manager must calculate the input of funds to the stock intelligently and the amount of money cycled through stocks, taking into account the time factors in the future. The purpose of this paper is to propose an inventory model considering issues of crash cost and current value. The sensitivity analysis of each parameter, in this research, differs from the traditional approach. We utilize a course of deduction with sound mathematics to develop several lemmas and one theorem to estimate optimal solutions. This study first tries to find the optimal order quantity at all lengths of lead time with components crashed at their minimum duration. Second, a simple method to locate the optimal solution unlike traditional sensitivity analysis is developed. Finally, some numerical examples are given to illustrate all lemmas and the theorem in the solution algorithm.

An Integrated Vendor-Buyer Model with Uncertain Lead Time, Life Time under Inflation and Variable Holding Cost

2011 ◽  
Vol 2 (3) ◽  
pp. 54-63 ◽  
Author(s):  
S. R. Singh ◽  
Diksha Bhatia
Keyword(s):  
Lead Time ◽  
Life Time ◽  
Time Value Of Money ◽  
Time Value ◽  
Deterioration Rate ◽  
Holding Cost ◽  
Variable Holding Cost ◽  
Value Of Money ◽  
Unsatisfied Demand ◽  
Shortage Costs

This study considers the problem of a vendor which supplies an item to the buyer with imprecise partial backlogging rate of unsatisfied demand and non instantaneous deterioration rate considering variable holding cost, the effect of inflation and time value of money. The supplier’s lead time is a stochastic function of his managing cost. The extra costs incurred by the retailer due to the uncertain lead time in terms of shortage costs or lost sales costs should be owed by the supplier. A numerical example is cited to illustrate the results and its significant features. Finally, to study the effect of changes of demand parameters, deterioration, inflation and managing cost on supplier and the retailer’s profit, a sensitivity analysis is presented numerically.

An Integrated Vendor-Buyer Model with Uncertain Lead Time, Life Time under Inflation and Variable Holding Cost

2013 ◽  
pp. 371-380
Author(s):  
S. R. Singh ◽  
Diksha Bhatia
Keyword(s):  
Lead Time ◽  
Life Time ◽  
Time Value Of Money ◽  
Time Value ◽  
Deterioration Rate ◽  
Holding Cost ◽  
Variable Holding Cost ◽  
Value Of Money ◽  
Unsatisfied Demand ◽  
Shortage Costs

This study considers the problem of a vendor which supplies an item to the buyer with imprecise partial backlogging rate of unsatisfied demand and non instantaneous deterioration rate considering variable holding cost, the effect of inflation and time value of money. The supplier’s lead time is a stochastic function of his managing cost. The extra costs incurred by the retailer due to the uncertain lead time in terms of shortage costs or lost sales costs should be owed by the supplier. A numerical example is cited to illustrate the results and its significant features. Finally, to study the effect of changes of demand parameters, deterioration, inflation and managing cost on supplier and the retailer’s profit, a sensitivity analysis is presented numerically.

scholarly journals An EOQ model for a deteriorating item with non-linear demand under inflation and a trade credit policy

2005 ◽  
Vol 15 (2) ◽  
pp. 209-220 ◽  
Author(s):  
S.K. Manna ◽  
K.S. Chaudhuri
Keyword(s):  
Trade Credit ◽  
Optimal Solution ◽  
Cash Flows ◽  
Credit Policy ◽  
Time Value Of Money ◽  
Time Value ◽  
Eoq Model ◽  
Non Linear ◽  
Demand Rate ◽  
Value Of Money

This paper develops an infinite time-horizon deterministic economic order quantity (EOQ) inventory model with deterioration based on discounted cash flows (DCF) approach where demand rate is assumed to be non-linear over time. The effects of inflation and time-value of money are also taken into account under a trade-credit policy of type "?/T1 net T". The results are illustrated with a numerical example. Sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out.

An Integrated Vendor - Buyer Model with Uncertain Lead Time, Life Time under Inflation and Variable Holding Cost

2011 ◽  
Vol 2 (4) ◽  
pp. 87-98
Author(s):  
S.R. Singh ◽  
Diksha Bhatia
Keyword(s):  
Lead Time ◽  
Life Time ◽  
Time Value Of Money ◽  
Time Value ◽  
Deterioration Rate ◽  
Stochastic Function ◽  
Holding Cost ◽  
Variable Holding Cost ◽  
Value Of Money ◽  
Unsatisfied Demand

This paper considers the problem of a vendor which supplies an item to the buyer with imprecise partial backlogging rate of unsatisfied demand and non instantaneous deterioration rate considering variable holding cost, the effect of inflation and time value of money. Supplier’s lead time is a stochastic function of his managing cost. The extra costs incurred on the retailer due to the uncertain lead time in terms of shortages costs or lost sales costs should be owed by the supplier. A numerical example is cited to illustrate the results and its significant features. Finally, to study the effect of changes of demand parameters, deterioration, inflation and managing cost on supplier and the retailer’s profit, a sensitivity analysis is presented numerically.

scholarly journals A finite time-horizon deterministic EOQ model with stock-dependent demand, effects of inflation and time value of money with shortages in all cycles

2007 ◽  
Vol 17 (2) ◽  
pp. 195-207 ◽  
Author(s):  
T. Roy ◽  
K.S. Chaudhuri
Keyword(s):  
Finite Time ◽  
Time Horizon ◽  
Optimal Solution ◽  
Time Value Of Money ◽  
Time Value ◽  
Eoq Model ◽  
Inflation Rates ◽  
Demand Rate ◽  
Finite Time Horizon ◽  
Value Of Money

A finite time-horizon deterministic inventory model is developed, taking the demand rate at any instant to be a function of the on-hand inventory (stock-level) at that instant. Shortages in inventory are allowed. The effects of inflation and time value of money are considered. Two separate inflation rates: namely, the internal (company) and the external (general economy) are introduced. A numerical example of the model is discussed. A sensitivity analysis of the optimal solution with respect to the parameters of the model is examined.

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