Decaying inventory model with stock-dependent demand and shortages under two-level trade credit

Annadurai, K.; Uthayakumar, R.

doi:10.1007/s00170-014-6457-4

Cited by 18 publications

(7 citation statements)

References 35 publications

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“…Furthermore, with the values of E * STO and k * F1 , the calibration equation (5) yields a reduced modulus E * of about 79.7 GPa for the film F1. This gives an indentation modulus M F1 = 154 GPa, very close to the reported value of 151 GPa [25]. Accordingly, a c and δ were found to be 6.5 nm and 0.50 nm, respectively.…”

Section: Methodssupporting

confidence: 86%

“…The average values oscillate with twin lamellas, similar to the result shown in figure 5(c). The magnitude of the indentation modulus M measured here agrees with the nanoindenter data measured for similar NiMnGa thin films [25,26].…”

Section: Grid Scanningsupporting

confidence: 87%

“…Because of a large crystallographic anisotropy of martensitic NiMnGa compounds, as reported for example for a single crystal with Young's moduli 11, 35 and 103 GPa in direction 100 , 110 and 111 respectively [24], the k * value may change by reorientation of twin variants. For thin films, the indentation modulus was found to be about 151 GPa [25] and strongly depends upon deposition and annealing conditions [26] and thus quite differs from stress-free bulk materials. Furthermore, a NiMnGa alloy polymer composite was used to serve as a damping material for vibrations in the kHz range because the dissipative motion of TBs in this compound absorbs the vibrational energy [27,28].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Local elasticity and mobility of twin boundaries in martensitic films studied by atomic force acoustic microscopy

Luo¹,

Büchsenschütz-Göbeler²,

Arnold³

et al. 2014

New J. Phys.

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Nanoscale elastic properties of twinned martensite NiMnGa films were characterized by means of atomic force acoustic microscopy using cantilever contact-resonance spectra to measure the local contact stiffness k * and the local damping Q −1 , which contains information on the crystallographic anisotropy of martensitic twin variants and the dissipative motion of twin boundaries (TBs). Images of k * and indentation modulus maps were obtained. Similar to topography images measured by conventional atomic force microscopy in contact mode, they show the nature of the twin structure and thus a regular variation in local elastic modulus. A correlation between k * and Q −1 was observed and mirrors the motion of the TB accompanied by a viscoelastic procedure. The k * -image and the topography image measured are opposite in contrast, which likely arises from mobile and immobile TBs depending on the geometry of twinning. Multi-resonance spectra were measured, which can be related to martensitic multivariants and are explainable as different types of nanotwins. A critical stress, defined as the starting point of softening due to TB movement was determined to be about 0.5 GPa for a thick film (1 µm) and 0.75 GPa for a thin film (0.15 µm), respectively. The values are much larger than that measured for bulk materials, but reasonable due to a large internal stress in the films.

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Section: Methodssupporting

confidence: 86%

Section: Grid Scanningsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Local elasticity and mobility of twin boundaries in martensitic films studied by atomic force acoustic microscopy

Luo¹,

Büchsenschütz-Göbeler²,

Arnold³

et al. 2014

New J. Phys.

View full text Add to dashboard Cite

show abstract

“…If holding cost for inventory is significantly higher than the shortage cost, then allowing shortage will be an excellent idea for business practice to reduce the total cost. To present the situation practically, Annadurai and Uthayakumar [2] considered a two-level trade credit policy in their decaying inventory model, where the demand rate is stock-dependent and shortages are allowed. Manna and Chaudhuri [19] developed an order-level inventory model with unit production cost, shortages and time-dependent demand for deteriorating items.…”

Section: Motivation and Review On Researchmentioning

confidence: 99%

A two-echelon inventory model with stock-dependent demand and variable holding cost for deteriorating items

Pervin¹,

Roy²,

Weber³

2017

Numerical Algebra, Control &Amp; Optimization

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In this study, we develop an inventory model for deteriorating items with stock dependent demand rate. Shortages are allowed to this model and when stock on hand is zero, then the retailer offers a price discount to customers who are willing to back-order their demands. Here, the supplier as well as the retailer adopt the trade credit policy for their customers in order to promote the market competition. The retailer can earn revenue and interest after the customer pays for the amount of purchasing cost to the retailer until the end of the trade credit period offered by the supplier. Besides this, we consider variable holding cost due to increase the stock of deteriorating items. Thereafter, we present an easy analytical closed-form solution to find the optimal order quantity so that the total cost per unit time is minimized. The results are discussed with the help of numerical examples to validate the proposed model. A sensitivity analysis of the optimal solutions for the parameters is also provided in order to stabilize our model. The paper ends with a conclusion and an outlook to possible future studies.

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“…Wu (2014) explore optimal credit period and lot size by considering demand dependence on delayed payment time with default risk for deteriorating items with expiration dates. Annadurai and Uthayakumar (2015) develop the decaying inventory model with stock-dependent demand and shortages under two-level trade credit. Dye and Yang (2015) discuss the sustainable trade credit and replenishment policy with credit-linked demand and credit risk considering the carbon emission constraints.…”

Section: Introductionmentioning

confidence: 99%

Optimal replenishment and credit policy in supply chain inventory model under two levels of trade credit with time- and credit-sensitive demand involving default risk

Mahata¹,

Mahata²,

2017

J Ind Eng Int

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Traditional supply chain inventory modes with trade credit usually only assumed that the up-stream suppliers offered the down-stream retailers a fixed credit period. However, in practice the retailers will also provide a credit period to customers to promote the market competition. In this paper, we formulate an optimal supply chain inventory model under two levels of trade credit policy with default risk consideration. Here, the demand is assumed to be credit-sensitive and increasing function of time. The major objective is to determine the retailer's optimal credit period and cycle time such that the total profit per unit time is maximized. The existence and uniqueness of the optimal solution to the presented model are examined, and an easy method is also shown to find the optimal inventory policies of the considered problem. Finally, numerical examples and sensitive analysis are presented to illustrate the developed model and to provide some managerial insights.

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Decaying inventory model with stock-dependent demand and shortages under two-level trade credit

Cited by 18 publications

References 35 publications

Local elasticity and mobility of twin boundaries in martensitic films studied by atomic force acoustic microscopy

Local elasticity and mobility of twin boundaries in martensitic films studied by atomic force acoustic microscopy

A two-echelon inventory model with stock-dependent demand and variable holding cost for deteriorating items

Optimal replenishment and credit policy in supply chain inventory model under two levels of trade credit with time- and credit-sensitive demand involving default risk

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