Impact of cost of substitution and joint replenishment on inventory decisions for joint substitutable and complementary items under asymmetrical substitution

[EN] In this paper, impact of cost of substitution and joint replenishment on inventory decisions for joint substitutable and complementary items under asymmetrical substitution has been studied. The phenomenon of substitution is considered in a stock-out situation and when items become out of stock due to demand then unfulfilled demand is asymmetrically substituted by another item. We formulate the inventory model mathematically and derived optimal ordering quantities, optimal total costs and extreme value of substitution rate for all possible cases. Moreover, pseudo-convexity of the total inventory cost function is obtained and the solution procedure is provided. Numerical example and sensitivity analysis have been presented to validate the effectiveness of the inventory model and substantial improvement in total optimal inventory cost with substitution with respect to optimal total inventory cost without substitution is seen.Mishra, RK.; Mishra, VK. (2020). Impact of cost of substitution and joint replenishment on inventory decisions for joint substitutable and complementary items under asymmetrical substitution. WPOM-Working Papers on Operations Management. 11(2):1-26. https://doi.org/10.4995/wpom.v11i2.13730OJS12611

Controllable deterioration rate for time-dependent demand and time-varying holding cost

In this paper, we develop an inventory model for non-instantaneous deteriorating items under the consideration of the facts: deterioration rate can be controlled by using the preservation technology (PT) during deteriorating period, and holding cost and demand rate both are linear function of time, which was treated as constant in most of the deteriorating inventory models. So in this paper, we developed a deterministic inventory model for non-instantaneous deteriorating items in which both demand rate and holding cost are a linear function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged. The model is solved analytically by minimizing the total cost of the inventory system. The model can be applied to optimizing the total inventory cost of non-instantaneous deteriorating items inventory for the business enterprises, where the preservation technology is used to control the deterioration rate, and demand & holding cost both are a linear function of time

An inventory model of instantaneous deteriorating items with controllable deterioration rate for time dependent demand and holding cost

Purpose: The purpose of this paper to develop an inventory model for instantaneous deteriorating items with the consideration of the facts that the deterioration rate can be controlled by using the preservation technology (PT) and the holding cost & demand rate both are linear function of time which was treated as constant in most of the deteriorating inventory model. Design/methodology/approach: Developed the mathematical equation of deterministic deteriorating inventory model in which demand rate and holding cost both is linear function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged and obtain an analytical solution which optimizes the total cost of the proposed inventory model. Findings: The model can be applied for optimizing the total inventory cost of deteriorating items inventory for such business enterprises where they use the preservation technology to control the deterioration rate under other assumptions of the model. Originality/value: The inventory system for deteriorating items has been an object of study for a long time, but little is known about the effect of investing in reducing the rate of product deterioration and their significant impact in the business. The proposed model is effective as well as efficient for the business organization that uses the preservation technology to reduce the deterioration rate of the instantaneous deteriorating items of the inventory.Peer Reviewe

How to Securely Compute the Modulo-Two Sum of Binary Sources

In secure multiparty computation, mutually distrusting users in a network want to collaborate to compute functions of data which is distributed among the users. The users should not learn any additional information about the data of others than what they may infer from their own data and the functions they are computing. Previous works have mostly considered the worst case context (i.e., without assuming any distribution for the data); Lee and Abbe (2014) is a notable exception. Here, we study the average case (i.e., we work with a distribution on the data) where correctness and privacy is only desired asymptotically. For concreteness and simplicity, we consider a secure version of the function computation problem of K\"orner and Marton (1979) where two users observe a doubly symmetric binary source with parameter p and the third user wants to compute the XOR. We show that the amount of communication and randomness resources required depends on the level of correctness desired. When zero-error and perfect privacy are required, the results of Data et al. (2014) show that it can be achieved if and only if a total rate of 1 bit is communicated between every pair of users and private randomness at the rate of 1 is used up. In contrast, we show here that, if we only want the probability of error to vanish asymptotically in block length, it can be achieved by a lower rate (binary entropy of p) for all the links and for private randomness; this also guarantees perfect privacy. We also show that no smaller rates are possible even if privacy is only required asymptotically.Comment: 6 pages, 1 figure, extended version of submission to IEEE Information Theory Workshop, 201

On the Oblivious Transfer Capacity of the Degraded Wiretapped Binary Erasure Channel

We study oblivious transfer (OT) between Alice and Bob in the presence of an eavesdropper Eve over a degraded wiretapped binary erasure channel from Alice to Bob and Eve. In addition to the privacy goals of oblivious transfer between Alice and Bob, we require privacy of Alice and Bob's private data from Eve. In previous work we derived the OT capacity (in the honest-but-curious model) of the wiretapped binary independent erasure channel where the erasure processes of Bob and Eve are independent. Here we derive a lower bound on the OT capacity in the same secrecy model when the wiretapped binary erasure channel is degraded in favour of Bob.Comment: To be presented at the IEEE International Symposium on Information Theory (ISIT 2015), Hong Kon

The Oblivious Transfer Capacity of the Wiretapped Binary Erasure Channel

We consider oblivious transfer between Alice and Bob in the presence of an eavesdropper Eve when there is a broadcast channel from Alice to Bob and Eve. In addition to the secrecy constraints of Alice and Bob, Eve should not learn the private data of Alice and Bob. When the broadcast channel consists of two independent binary erasure channels, we derive the oblivious transfer capacity for both 2-privacy (where the eavesdropper may collude with either party) and 1-privacy (where there are no collusions).Comment: This is an extended version of the paper "The Oblivious Transfer Capacity of the Wiretapped Binary Erasure Channel" to be presented at ISIT 201

Measuring Growth and Impact of Neuroscience Researches in India: A Scientometric analysis based on Scopus

Present study focuses on growth of neuroscience research in India and its impact on scholarly world. Total 4812 data were collected from Scopus database for the period of 2004-2018. Analysis of the data revealed considerable increase in Annual Growth Rate in neuroscience research with 10.52% CAGR for the entire period. Relative Growth Rate (RGR) was increasing with minor fluctuations i.e. growth in Neuroscience research is not exponential ratio rather than it is arithmetic ratio and Doubling Time is similar to RGR. Trend (Least Square) of the neuroscience publications showed an increase trend during the study period. But the prediction of the trend up to the year 2023 has indicated the downward trend in the growth. Articles were the major form of publication followed by letters. Collaborative Index (CI) ranges from 4.22 to 5.02 with an average of 4.75 per joint authored papers. Degree of collaboration for total publications of the neuroscience was 0.93 i.e. team research, which is confirmed by the value of Collaboration coefficient. Mega-authored papers received highest 24657 (49.88%) citations, whereas single authored papers received lowest 861(1.74%) citations. Author Shukla, D. is the most productive author contributing 42 articles.1934 (40.19%) of total publications did not have any institutional collaboration, 1063 (22.09%) publications were co-authored with other institutes/universities/colleges of India, 764 (15.88%) were collaborated within their own organization/institute/university/college in which they are affiliated and 1051 (21.84%) publications were collaborated with foreign authors

DETERIORATING INVENTORY MODEL WITH CONTROLLABLE DETERIORATION RATE FOR TIME-DEPENDENT DEMAND AND TIME-VARYING HOLDING COST

Abstract: In this paper, we develop an inventory model for non-instantaneous deteriorating items under the consideration of the facts: deterioration rate can be controlled by using the preservation technology (PT) during deteriorating period, and holding cost and demand rate both are linear function of time, which was treated as constant in most of the deteriorating inventory models. So in this paper, we developed a deterministic inventory model for non-instantaneous deteriorating items in which both demand rate and holding cost are a linear function of time, deterioration rate is constant, backlogging rate is variable and depend on the length of the next replenishment, shortages are allowed and partially backlogged. The model is solved analytically by minimizing the total cost of the inventory system. The model can be applied to optimizing the total inventory cost of non-instantaneous deteriorating items inventory for the business enterprises, where the preservation technology is used to control the deterioration rate, and demand & holding cost both are a linear function of time

Prevalence of ocular morbidity in rural population of eastern Uttar Pradesh, India

Background: Ocular morbidity is a significant problem in rural areas of India as it remains undiagnosed and neglected. Aims & Objectives:  To determine the prevalence of ocular morbidity in the rural population of Barabanki, Uttar Pradesh. Material & Methods: A community based cross-sectional study was conducted in the villages around RHTC Satrikh of HIMS Barabanki. Ocular examination and vision testing was done among 812 people using ophthalmoscopic instruments. Information was collected using pre-tested questionnaire. Analysis was done using SPSS and appropriate Statistical tests. Results: Of the total 812 individuals interviewed, the prevalence of ocular morbidity was 41.3% (335 subjects had one or more ocular morbidity); with 88.8% elderly affected (age >65 years).   Myopia was the most common ocular morbidity 14.8%, followed by cataract (14.3%) and hypermetropia (12.8%).  Allergic and infective conjunctivitis affected 5.8% and 3.9%, respectively.  The prevalence of Vitamin A deficiency disorder (including night blindness and bitot spots) was 1.3%.  Higher ocular morbidity was present in houses with higher SES. Environmental conditions had no significant relation to ocular morbidity.  Conclusion: The prevalence of ocular diseases among the elderly was highest and requires prompt attention.  Myopia was the most common ocular morbidity having a prevalence of 14.8%, followed by cataract (14.3%) and hypermetropia (12.8%)