Journal of Industrial Mathematics http://www.hindawi.com The latest articles from Hindawi Publishing Corporation © 2014 , Hindawi Publishing Corporation . All rights reserved. Judo Economics in Markets with Multiple Firms Thu, 13 Nov 2014 13:34:39 +0000 http://www.hindawi.com/journals/jim/2014/216473/ We study a sequential Bertrand game with one dominant market incumbent and multiple small entrants selling homogeneous products. Whilst the equilibrium for the case of a single entrant is well known from Gelman and Salop (1983), we derive properties of the -firm equilibrium and present an algorithm that can be used to calculate this equilibrium. The algorithm is based on a recursive manipulation of polynomials that derive the optimisation problem that each of the market entrants is facing. Using this algorithm we derive the exact equilibrium for the cases of two and three small entrants. For more than three entrants only approximate results are possible. We use numerical results to gain further understanding of the equilibrium for an increasing number of firms and in particular for the case where diverges to infinity. Similarly to the two-firm Judo equilibrium, we see that a capacity limitation for the small firms is necessary to achieve positive profits. Daniel Cracau and Benjamin Franz Copyright © 2014 Daniel Cracau and Benjamin Franz. All rights reserved. Acceptance Sampling Plans Based on Truncated Life Tests for Gompertz Distribution Wed, 21 May 2014 11:01:02 +0000 http://www.hindawi.com/journals/jim/2014/391728/ An acceptance sampling plan for Gompertz distribution under a truncated life test is developed. For different acceptance numbers, consumer’s confidence levels and values of the ratio of the experimental time to the specified mean lifetime, the minimum sample sizes required to ensure the specified mean lifetime are obtained. The operating characteristic function values and the associated producer’s risks are also presented. An example is provided to illustrate the acceptance sampling plan. Wenhao Gui and Shangli Zhang Copyright © 2014 Wenhao Gui and Shangli Zhang. All rights reserved. Application of Markov Process in Performance Analysis of Feeding System of Sugar Industry Sun, 27 Apr 2014 12:02:55 +0000 http://www.hindawi.com/journals/jim/2014/593176/ To analyse the performance measures of complex repairable systems having more than two states, that is, working, reduced and failed, it is essential to model suitably their states so that the system governs a stochastic process. In this paper, the application of time-homogeneous Markov process is used to express reliability and availability of feeding system of sugar industry involving reduced states and it is found to be a powerful method that is totally based on modelling and numerical analysis. The selection of appropriate units/components in designing a system with different characteristics is necessary for the system analyst to maintain the failure-free operation. Keeping this concept in this study, the steady state availability of concern system is analysed and optimized by using a popular search technique, genetic algorithm. The objective of this paper is to consider the system operative process as Markov process and find its reliability function and steady state availability in a very effective manner and also to obtain an optimal system designing constituents which will allow a failure-free operation for long time period as required for maximum system productivity. The system performance measures and optimized design parameters are described and obtained here by considering an illustrative example. S. P. Sharma and Yashi Vishwakarma Copyright © 2014 S. P. Sharma and Yashi Vishwakarma. All rights reserved. Effects of Chemical Reaction on Dissipative Radiative MHD Flow through a Porous Medium over a Nonisothermal Stretching Sheet Tue, 01 Apr 2014 13:00:46 +0000 http://www.hindawi.com/journals/jim/2014/243148/ The steady two-dimensional radiative MHD boundary layer flow of an incompressible, viscous, electrically conducting fluid caused by a nonisothermal linearly stretching sheet placed at the bottom of fluid saturated porous medium in the presence of viscous dissipation and chemical reaction is studied. The governing system of partial differential equations is converted to ordinary differential equations by using the similarity transformations, which are then solved by shooting method. The dimensionless velocity, temperature, and concentration are computed for different thermophysical parameters, namely, the magnetic parameter, permeability parameter, radiation parameter, wall temperature parameter, Prandtl number, Eckert number, Schmidt number, and chemical reaction. S. Mohammed Ibrahim Copyright © 2014 S. Mohammed Ibrahim. All rights reserved. Mathematical Model of a Flash Drying Process Mon, 24 Feb 2014 13:49:30 +0000 http://www.hindawi.com/journals/jim/2014/460857/ The paper presents a basic model of the flash drying process, as it is applied in a number of industrial applications, and illustrates this by means of a particular application: the drying of subbituminous coal. Besides its economic importance, that application is representative of those where the product is combustible, so that the drying needs to be conducted in an inert atmosphere, which is achieved by recycling some of the drying gas. A novel feature of the model is that it takes explicit account of the transport of heat and moisture within the coal particles. The model provides the basis for the development of a tool to support the design of a flash drying plant. Erik W. Aslaksen Copyright © 2014 Erik W. Aslaksen. All rights reserved. Asymptotic Dichotomy in a Class of Odd-Order Nonlinear Differential Equations with Impulses Sun, 22 Dec 2013 11:57:17 +0000 http://www.hindawi.com/journals/jim/2013/421231/ We investigate the oscillatory and asymptotic behavior of a class of odd-order nonlinear differential equations with impulses. We obtain criteria that ensure every solution is either oscillatory or (nonoscillatory and) zero convergent. We provide several examples to show that impulses play an important role in the asymptotic behaviors of these equations. Kunwen Wen and Lijun Pan Copyright © 2013 Kunwen Wen and Lijun Pan. All rights reserved. Truncated Life Test Plans for Economic Reliability Based on Four-Parametric Burr Distribution Thu, 28 Nov 2013 10:20:21 +0000 http://www.hindawi.com/journals/jim/2013/489285/ Burr distribution is considered as a probability model for the lifetime of products. Reliability test plans are those sampling plans in which items from a lot are put to test to make conclusions on the estimate of life, and hence acceptance or rejection of the submitted lot is done. A test plan designs the termination time of the experiment and the termination number for a given sample size and producer’s risk. Tables and graphs were provided for certain specific values of designs, and it is useful to verify the optimum reliability test plan realized by Burr distributions. Ramkumar Balan and Sajana Kunjunni Copyright © 2013 Ramkumar Balan and Sajana Kunjunni. All rights reserved. Multiobjective Optimization of a Benfield HiPure Gas Sweetening Unit Sun, 27 Oct 2013 14:17:00 +0000 http://www.hindawi.com/journals/jim/2013/260918/ We show how a multiobjective bare-bones particle swarm optimization can be used for a process parameter tuning and performance enhancement of a natural gas sweetening unit. This has been made through maximization of hydrocarbon recovery and minimization of the total energy of the process as the two objectives of the optimization. A trade-off exists between these two objectives as illustrated by the Pareto front. This algorithm has been applied to a sweetening unit that uses the Benfield HiPure process. Detailed models of the natural gas unit are developed in ProMax process simulator and integrated to the multi-objective optimization developed in visual basic environment (VBA). In this study, the solvent circulation rates, stripper pressure and reboiler duties are considered as the decision variables while hydrogen sulfide and carbon dioxide concentrations in the sweetened gas are considered as process constraints. The upper and lower bounds of the decision variables are obtained through a parametric sensitivity analysis of the models. The Pareto sets show a significant improvement in hydrocarbon recovery and a decent reduction in the heat consumption of the process. Richard Ochieng, Abdallah S. Berrouk, and Ali Elkamel Copyright © 2013 Richard Ochieng et al. All rights reserved. Obtaining an Initial Solution for Facility Layout Problem Thu, 24 Oct 2013 10:26:22 +0000 http://www.hindawi.com/journals/jim/2013/130251/ The facility layout approaches can generally be classified into two groups, constructive approaches and improvement approaches. All improvement procedures require an initial solution which has a significant impact on final solution. In this paper, we introduce a new technique for accruing an initial placement of facilities on extended plane. It is obtained by graph theoretic facility layout approaches and graph drawing algorithms. To evaluate the performance, this initial solution is applied to rectangular facility layout problem. The solution is improved using an analytical method. The approach is then tested on five instances from the literature. Test problems include three large size problems of 50, 100, and 125 facilities. The results demonstrate effectiveness of the technique especially for large size problems. Ali Shoja Sangchooli and Mohammad Reza Akbari Jokar Copyright © 2013 Ali Shoja Sangchooli and Mohammad Reza Akbari Jokar. All rights reserved. EOQ Models with Varying Holding Cost Thu, 30 May 2013 11:21:01 +0000 http://www.hindawi.com/journals/jim/2013/743921/ Models of inventory management contain different parameters. An issue is observable in the classical models which can be related to the determination of the quantity of the economic order and the quantity of the economic production. In these models, the parameters like setup and holding costs and also the rate of demands are fixed. This matter causes the quantity of the economic ordering in classic model to have some differences in comparison with the real-world conditions. It should be stated that holding cost of spoiled and useless products is not always fixed and so the costs increase by passing the time. This paper is an attempt to develop classical EOQ models by considering holding cost as an increasing function of the ordering cycle length. So the classical EOQ models are developed, and the related optimum quantity to the ordering cycle length, economic ordering quantity, and the optimum total cost are determined. Naser Ghasemi and Behrouz Afshar Nadjafi Copyright © 2013 Naser Ghasemi and Behrouz Afshar Nadjafi. All rights reserved. Fuzzy Multiobjective Reliability Optimization Problem of Industrial Systems Using Particle Swarm Optimization Wed, 24 Apr 2013 16:03:15 +0000 http://www.hindawi.com/journals/jim/2013/872450/ The present work investigates the reliability optimization problem of the repairable industrial systems by utilizing uncertain, limited, and imprecise data. In many practical situations where reliability enhancement is involved, the decision making is complicated because of the presence of several mutually conflicting objectives. Moreover, data collected or available for the systems are vague, ambiguous, qualitative, and imprecise in nature due to various practical constraints and hence create some difficulties in optimizing the design problems. To handle these problems, this work presents an interactive method for solving the fuzzy multiobjective optimization decision-making problem, which can be used for the optimization decision making of the reliability with two or more objectives. Based on the preference of the decision makers toward the objectives, fuzzy multi-objective optimization problem is converted into crisp optimization problem and then solved with evolutionary algorithm. The proposed approach has been applied to the decomposition unit of a urea fertilizer plant situated in the northern part of India producing 1500–2000 metric tons per day. Harish Garg Copyright © 2013 Harish Garg. All rights reserved.