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    ( Call for Paper: International Journal of Education and Information Sciences (IJEIS) ISSN Print: 2249-0108         More....

    International Journal of Operations Research and Optimization (IJORO)




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    1 A Supply Chain Model with Ramp Type Demand and Deterioration

    Author: Jaivindra Tomar, Soshal, S.R. Singh, Sanjay Singh ,(Pages:133-150 )
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    Abstract:

    This paper investigates a supply chain system in which a single manufacturer procures raw materials from a single supplier, process them to produce finished products and then deliver the products to a single-retailer. The customer demand rate is assumed to time-sensitive in nature (ramp type) that allows two-phase variation in demand and production rate is demand dependent. Shortages are allowed with partial backlogging of demand for retailer, i.e. rest goes as lost sales. A simple solution algorithm is presented to determine the optimal order quantity and optimal cycle time of the total cost function. The results are discussed with a numerical examples and particular cases of the model discussed in brief. A sensitivity analysis of the optimal solution with respect to the parameters of the system is carried out.

    Keyword:

    Two echelon supply chain, ramp type demand, deterioration, backlogging, inflation

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    3 Optimum Policies for an Integrated Inventory System with Time Dependent Demand and Shortages

    Author: Sarvpreet Kaur, A. P. Singh, D. Singh,(Pages: 151-164)
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    Abstract:

    In this paper, we developed an integrated inventory system of a deteriorating item, taking into account the views of both the vendor and multi buyers. This model contains the linear deterioration rate and demand rate is taken as exponential function of time. Production rate is taken as demand dependent. Partially backlogged shortages are permitted. This paper seeks the optimal number of order and size of order and the appropriate inventory level. Numerical experiment of the model is also developed.

    Keyword:

    Integrated inventory system, deterioration, partially backlogged shortage

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    5 Differential Evolution with Information Preserving Selection for Solving Sciences and Engineering Problems

    Author: Megha Gupta, Ashwini Kumar,Pravesh Kumar,(Pages: 165-181)
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    Abstract:

    This paper seeks the optimal number of order and size of order and the appropriate inventory level. Numerical experiment of the model is also developed. This paper presents a novel selection strategy, named as, information preserving selection, for Differential evolution algorithm (DE) to generate the population for the next generation. To investigate the performance of Differential evolution (DE) and its new version with information preserving selection strategy (IpDERL), 4 real life problems of science and engineering have been taken from the literature. Experimental results show that the proposed IpDERL is quiet competent for solving the considered real life problems and proved the efficiency in term of convergence rate, robustness and solution accuracy.

    Keyword:

    Differential evolution, Information preserving selection, Real life problems, Global optimization

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    7 Stochastic Modelling for Imperfect Manufacturer System with Random Machine Breakdown and Uniformly/Exponentially Distributed Machine Repair Time

    Author: Punam Sharma and Bhupal Singh ,(Pages:183-200)
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    Abstract:

    purpose of this paper is to investigate the deteriorating items production model with random machine breakdown and stochastic repair time under the effect of flexible manufacturing system where the unit production cost is the function of production rate. The model assumes that the machine repair time is independent of the machine breakdown rate. In first part of the model it is assumed that the repair time is uniformly distributed while in other part of the model it is assumed that repair time is exponential distributed. Classical optimization technique is used to obtain the optimal solution.

    Keyword:

    Stochastic Modelling, Imperfect Manufacturer System

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    9 Effect of Inflation for Decaying Items with Stock and Time Dependent Demand on an Inventory System

    Author: A K Sharma, Kavita Sinha,(Pages: 201-212)
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    Abstract:

    The purpose of this paper is to investigate an inventory model for deteriorating items with time and stock dependent demand rate. The environment of whole study has been taken as inflationary. Shortages are allowed with partially backlogging. Backlogging rate is taken as waiting time for the next replenishment. Numerical illustration and sensitivity analysis is also discussed.

    Keyword:

    Time and stock dependent demand, inflation, Backlogging

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    11 EPQ Model with Price Dependent Demand and Backlogging Under Imprecise Environment

    Author: Chandra Prakash Ban and U S Rana ,(Pages: 213-226)
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    Abstract:

    In the present work, a production model is considered, with selling price dependent demand under imprecise environment. Today, when market trend has changed to such a large extent, it becomes imperative that we take demand depends on selling price. Shortages are permitted with complete backlogging. In this model, finite planning horizon has been taken. The model is formulated to minimize the cost. The model is illustrated with a numerical example.

    Keyword:

    Price Dependent Demand

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    13 An Inventory Model For Perishable Items With Lost Sales And Time Varying Demand

    Author: Vineet Kumar, S.R. Singh,(Pages:227-236)
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    Abstract:

    In this paper, we developed a two-warehouse production model under the fuzzy environment. Demand rate is time dependent. Production rate is demand dependent and greater than the demand rate. Inflation is also taken into this consideration. Shortages are allowed and partially backlogged. The model is developed in both crisp and fuzzy sense. All the costs are taken as fuzzy triangular numbers. Numerical examples for both the models and sensitivity analysis are illustrated this model.

    Keyword:

    Inflation, shortages, preservation technology

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    15 An Economic Production Model for imperfect production system

    Author: Lalit Kumar Som, Deepika Agrawal, Deepak Bhati ,(Pages:237-250 )
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    Abstract:

    This paper This paper develops a model to determine the optimal reliability and production rate that achieves the biggest total integrated profit for an imperfect production process under allowable shortage. In this system, production facility may shift ‘in-control’ state to an ‘out-control’ state at any random time. The basic assumption of the classical EPL model is that 100% of product is of perfect quality. But practically this is not true. The proposed model is formulated assuming that a certain percent of total product which described by a function is defective. In this study we also consider that selling price of the units depends upon the unit production cost. Screening cost of the items are also taken in the propose model with shortages. The imperfect quality items are reworked at a cost to restore its quality to the original one. The total cost function is illustrated by numerical examples and also its sensitivity analysis is carried out.

    Keyword:

    Two Volume flexibility, Imperfect Production process, shortage

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    17 Deterministic economic production quantity model with time - varying production rate, demand rate, and holding cost under the condition of permissible delay in payments

    Author: Lalit Kumar Som,Soshal, Jaivindra Tomar ,(Pages:251-262 )
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    Abstract:

    In this study we have done a work on an EPQ inventory model with time-varying demand rate, demand dependent production rate, variable holding cost and permissible delay in payments. In this work we have taken the demand as a linear function of time and production is the function of demand i.e. production is also function of time. Here we discussed two cases one with constant holding cost and one with time-dependent holding cost separately. All the work done in the environment of permissible delay in payments, taking into consideration the small rate of the deterioration of the items and got optimal cycle time and the minimum total system cost under the condition of permissible delay is relaxed to that at the end of the credit period, the retailer will make a partial payment on total purchasing cost to the supplier and pay off the remaining balance by loan from the bank. Numerical examples are taken to illustrate the procedure of finding the optimal total inventory cost and production cycle time. Sensitivity analysis is carried out to demonstrate the effects of changing parameter values on the optimal solution of the system.

    Keyword:

    Two EPQ Model, Deteriorating item, variable demand rates, permissible delay in payment, variable production rate, variable holding cost.

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