Inventory Model with Exponential Time-Dependent Demand Rate, Variable Deterioration, Shortages and Production Cost

Tripathi, R. P.; Pareek, Sarla; Kaur, M.

doi:10.1007/s40819-016-0185-4

Cited by 16 publications

(6 citation statements)

References 35 publications

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“…Sarmah et al [17] considered a single-supplier multi-buyer coordinated supply chain model with a trade credit policy. A variable production cost for inventory model was used by Khouja and Mehrez [18] and Tripathi et al [19]. Under the time value of money, Chakrabarty et al [20] developed an inventory model for defective items.…”

Section: Introductionmentioning

confidence: 99%

A Two-Echelon Supply Chain Management With Setup Time and Cost Reduction, Quality Improvement and Variable Production Rate

2019

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This model investigates the variable production cost for a production house; under a two-echelon supply chain management where a single vendor and multi-retailers are involved. This production system goes through a long run system and generates an out-of-control state due to different issues and produces defective items. This model considers the reduction of the defective rate and setup cost through investment. A discrete investment for setup cost reduction and a continuous investment is considered to reduce the defective rate and to increase the quality of products. Setup and processing time are dependent on lead time in this model. The model is solved analytically to find the optimal values of the production rate, safety factors, optimum quantity, lead time length, investment for setup cost reduction, and the probability of the production process going out-of-control. An efficient algorithm is constructed to find the optimal solution numerically and sensitivity analysis is given to show the impact of different parameters. A case study and different cases are also given to validate the model.

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Section: Introductionmentioning

confidence: 99%

A Two-Echelon Supply Chain Management With Setup Time and Cost Reduction, Quality Improvement and Variable Production Rate

2019

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“…Considering these factors, they developed two different inventory models: (a) an inventory model for a zero ending case and (b) an inventory model for a shortage case. Tripathi et al [17] established an inventory model of exponential time-dependent demand and time-dependent deterioration. The model accounts for shortages and considers a proportionate demand rate and unit production cost.…”

Section: Literature Reviewmentioning

confidence: 99%

Inventory models with integrated time dependent demands for deteriorating items – in third and fourth order equations

Sivashankari¹,

Ramachandran²

2021

RAIRO-Oper. Res.

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. Inventory models with integrated time-dependent demands for deteriorative items are considered in this study. The demand models found in the literature include constant, linear, quadratic, exponential, price dependent, and stock dependent among others. To wit, no study exists that uses integrated time-dependent demands. Three models are developed: The first model uses continuously compounded demands, the second model uses linear demands integrated with continuously compounded demands, and the third model uses quadratic demands integrated with continuously compounded demands. Mathematical models are delineated for each model and relevant examples are provided to elucidate the proposed procedure. The objective herein is to obtain optimum order quantities and order intervals concerning the overall cost. Sensitivity analysis is provided for each of the three models. The necessary data was generated using Visual Basic 6.0.. Inventory models with integrated time-dependent demands for deteriorative items are considered in this study. The demand models found in the literature include constant, linear, quadratic, exponential, price dependent, and stock dependent among others. To wit, no study exists that uses integrated time-dependent demands. Three models are developed: The first model uses continuously compounded demands, the second model uses linear demands integrated with continuously compounded demands, and the third model uses quadratic demands integrated with continuously compounded demands. Mathematical models are delineated for each model and relevant examples are provided to elucidate the proposed procedure. The objective herein is to obtain optimum order quantities and order intervals concerning the overall cost. Sensitivity analysis is provided for each of the three models. The necessary data was generated using Visual Basic 6.0.

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“…Smrutirekha and Milu (2016) built up a financial request amount demonstrate in view of joint cost and time subordinate include with non-immediate falling apart things with non-zero lead time. Tripathi et al (2017) examined the similar study between aftereffects of the without lock case and with lack case. proposed in which request rate as a capacity of stock level and offering cost where the weakening rate has been considered to takes after two parameters Weibull weakening.…”

Section: Literature Reviewmentioning

confidence: 99%

A two warehouse deterministic inventory model for deteriorating items with power demand, time varying holding costs and trade credit in a supply chain system

Sharmila¹,

Uthayakumar²

2018

10.5267/j.uscm

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In the present day, focused commercial centers, offering exchange credit, have turned into a usually received strategy. Past inventory models under reasonable postponement in installments generally accepted that the request of the things was either consistent or simply relying on the retail cost. In this paper, we proposed to sum up, two distribution centers inventory model for crumbling things when the provider offers the retailer to defer period and thus the retailer gives to postpone period to their clients. The request design has been figured in a powerful example, which can be communicated in a straight or exponential shape. Shortages were not permitted. The differing criteria and lead time, smashing expenses were thought to be constant elements of unit cost and lead time, separately. From these, a basic iterative calculation to acquire the ideal renewal number and time booking was given. At last, numerical cases were introduced to show the model and investigation of different parameters was additionally performed. Likewise, the impact of changes in the diverse parameters in the ideal aggregate cost was graphically displayed and the suggestions were examined in details.

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Inventory Model with Exponential Time-Dependent Demand Rate, Variable Deterioration, Shortages and Production Cost

Cited by 16 publications

References 35 publications

A Two-Echelon Supply Chain Management With Setup Time and Cost Reduction, Quality Improvement and Variable Production Rate

A Two-Echelon Supply Chain Management With Setup Time and Cost Reduction, Quality Improvement and Variable Production Rate

Inventory models with integrated time dependent demands for deteriorating items – in third and fourth order equations

A two warehouse deterministic inventory model for deteriorating items with power demand, time varying holding costs and trade credit in a supply chain system

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