IT Project Selection using Fuzzy Real Option Optimization Model
Shashank Pushkar, P. Kumari, Akhileshwar Mishra
{"title":"IT Project Selection using Fuzzy Real Option Optimization Model","authors":"Shashank Pushkar, P. Kumari, Akhileshwar Mishra","doi":"10.4018/jeei.2012070104","DOIUrl":null,"url":null,"abstract":"Optimal selection of interdependent IT and e-business projects for funding in multi-period has been challenging in the framework of Real Option analysis. This paper presents a mathematical model to optimize the fuzzy Option value for multi-stage portfolio of such projects. A fuzzy Option model is used to maximize the Option value of each project. The IT and e-service portfolio selection problem is formulated as a fuzzy zero–one integer programming model that can handle both uncertain and flexible parameters to determine the optimal project portfolio. The idea of optimizing the fuzzy real option value of the portfolio is to maximize the overall value and to minimize the downside risk of the selected portfolio for funding. A transformation method based on qualitative possibility theory is developed to convert the fuzzy portfolio selection model into a crisp mathematical model from the risk-averse perspective. The transformed model can be solved by an optimization technique. The optimization model and solution approach can help e-entrepreneurs and IT managers in optimal funding decision making for projects prioritization to implement e-business and other IT services. DOI: 10.4018/jeei.2012070104 38 International Journal of E-Entrepreneurship and Innovation, 3(3), 37-49, July-September 2012 Copyright © 2012, IGI Global. Copying or distributing in print or electronic forms without written permission of IGI Global is prohibited. wireless technical infrastructure, investments in data warehouse etc. Their investment appraisal may yield a negative NPV, but they create value over time. Such investments create valuable follow-on contingent investment opportunities. Real Option analysis has been an alternative approach that incorporates impact of flexibility while evaluating IT and e-business projects. The basic idea of the Real Options approach is to transfer the sophisticated Option pricing model used in the capital market theory to the valuation of risky projects. Real Option theory views investment activities as discretionary decisions in uncertain environment and thus is able to capture the value of decision flexibility ignored by existing net cash flow method. The initial investment of these projects is similar to purchase of an Option on a further dependent projects’ investment. The value of the project investment is not primarily determined by the initial investment but by the future investment opportunities provided by the initial investment. The NPV and the DCF based analysis are not suited well for risky IT and e-business projects as they are not able to estimate the managerial flexibility underlying such investments. Therefore, the value of the successful project is usually underestimated while the value of the failure is overestimated. In Real Option valuation approach, the initial investment of such project is similar to the purchase of an Option on the further dependent e-business project’s investment. Therefore, the basic idea is to add the call Option value of the dependent project to the initial project value. So, the total value of each project will be the addition of its own DCF value and the call Option value of the dependent projects to be implemented in the subsequent time period. E-entrepreneurs and the companies that select IT projects to provide services for ebusiness purpose face an important problem of selecting a project portfolio for funding. The purpose of project portfolio decision is to allocate a limited set of resources to projects in a way that balances risk and reward. Since these project portfolio decision deals with future events and opportunities, much of the information required to make portfolio decisions is at best uncertain and at worst very unreliable. However, even with this doubtful information, the project portfolio decision still must be made. Moreover, resource or budget availability may be flexible because additional budget may be re-allocated from other budget categories. Fuzzy set theory has been used to model imprecise and preference information in many applications. It can also be used to represent uncertain project information. Pereira and Junior (1988) formulated a simple fuzzy multicriteria R&D portfolio selection problem that represented project appraisals for each criterion as fuzzy set and developed an algorithm to get non-dominated solutions. Machacha and Bhattacharya (2000) modelled uncertain critical factors involved in the information system project selection by fuzzy sets and developed a fuzzy logic approach to emulate the human reasoning process and make decisions based on vague or imprecise data. Mohamed and McCowan (2001) applied fuzzy set theory to handle the inherent uncertainty of both momentary and non-momentary aspects in construction projects and used a fuzzy ranking index to rank and select construction projects. Hsu et al. (2003) applied the fuzzy AHP approach to select governmentsponsored frontier technology R&D projects and indicated the adequacy of fuzzy approach in selecting R&D projects. Fuzzy set theory is also applied to model uncertain and flapible project information. Wang (2004) has used fuzzy set theory to describe uncertain and flexible project information. The prime idea here is to prioritize the IT and e-business projects such that the fuzzy real option value generated by projects in the portfolio is maximized. The maximization of the option value gives the optimal selection of the projects implementation. Since the Options created by the dependent projects reduce the downside risk, the maximization of the fuzzy Real Option value of the portfolio will eventually minimize the downside risk of the overall portfolio. Here the problem has been formulated as a mathematical model for the optimization 11 more pages are available in the full version of this document, which may be purchased using the \"Add to Cart\" button on the product's webpage: www.igi-global.com/article/project-selection-using-fuzzyreal/70581?camid=4v1 This title is available in InfoSci-Journals, InfoSci-Journal Disciplines Business, Administration, and Management, InfoSci-Digital Marketing, E-Business, and E-Services eJournal Collection, InfoSci-Select. 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引用次数: 9
Abstract
Optimal selection of interdependent IT and e-business projects for funding in multi-period has been challenging in the framework of Real Option analysis. This paper presents a mathematical model to optimize the fuzzy Option value for multi-stage portfolio of such projects. A fuzzy Option model is used to maximize the Option value of each project. The IT and e-service portfolio selection problem is formulated as a fuzzy zero–one integer programming model that can handle both uncertain and flexible parameters to determine the optimal project portfolio. The idea of optimizing the fuzzy real option value of the portfolio is to maximize the overall value and to minimize the downside risk of the selected portfolio for funding. A transformation method based on qualitative possibility theory is developed to convert the fuzzy portfolio selection model into a crisp mathematical model from the risk-averse perspective. The transformed model can be solved by an optimization technique. The optimization model and solution approach can help e-entrepreneurs and IT managers in optimal funding decision making for projects prioritization to implement e-business and other IT services. DOI: 10.4018/jeei.2012070104 38 International Journal of E-Entrepreneurship and Innovation, 3(3), 37-49, July-September 2012 Copyright © 2012, IGI Global. Copying or distributing in print or electronic forms without written permission of IGI Global is prohibited. wireless technical infrastructure, investments in data warehouse etc. Their investment appraisal may yield a negative NPV, but they create value over time. Such investments create valuable follow-on contingent investment opportunities. Real Option analysis has been an alternative approach that incorporates impact of flexibility while evaluating IT and e-business projects. The basic idea of the Real Options approach is to transfer the sophisticated Option pricing model used in the capital market theory to the valuation of risky projects. Real Option theory views investment activities as discretionary decisions in uncertain environment and thus is able to capture the value of decision flexibility ignored by existing net cash flow method. The initial investment of these projects is similar to purchase of an Option on a further dependent projects’ investment. The value of the project investment is not primarily determined by the initial investment but by the future investment opportunities provided by the initial investment. The NPV and the DCF based analysis are not suited well for risky IT and e-business projects as they are not able to estimate the managerial flexibility underlying such investments. Therefore, the value of the successful project is usually underestimated while the value of the failure is overestimated. In Real Option valuation approach, the initial investment of such project is similar to the purchase of an Option on the further dependent e-business project’s investment. Therefore, the basic idea is to add the call Option value of the dependent project to the initial project value. So, the total value of each project will be the addition of its own DCF value and the call Option value of the dependent projects to be implemented in the subsequent time period. E-entrepreneurs and the companies that select IT projects to provide services for ebusiness purpose face an important problem of selecting a project portfolio for funding. The purpose of project portfolio decision is to allocate a limited set of resources to projects in a way that balances risk and reward. Since these project portfolio decision deals with future events and opportunities, much of the information required to make portfolio decisions is at best uncertain and at worst very unreliable. However, even with this doubtful information, the project portfolio decision still must be made. Moreover, resource or budget availability may be flexible because additional budget may be re-allocated from other budget categories. Fuzzy set theory has been used to model imprecise and preference information in many applications. It can also be used to represent uncertain project information. Pereira and Junior (1988) formulated a simple fuzzy multicriteria R&D portfolio selection problem that represented project appraisals for each criterion as fuzzy set and developed an algorithm to get non-dominated solutions. Machacha and Bhattacharya (2000) modelled uncertain critical factors involved in the information system project selection by fuzzy sets and developed a fuzzy logic approach to emulate the human reasoning process and make decisions based on vague or imprecise data. Mohamed and McCowan (2001) applied fuzzy set theory to handle the inherent uncertainty of both momentary and non-momentary aspects in construction projects and used a fuzzy ranking index to rank and select construction projects. Hsu et al. (2003) applied the fuzzy AHP approach to select governmentsponsored frontier technology R&D projects and indicated the adequacy of fuzzy approach in selecting R&D projects. Fuzzy set theory is also applied to model uncertain and flapible project information. Wang (2004) has used fuzzy set theory to describe uncertain and flexible project information. The prime idea here is to prioritize the IT and e-business projects such that the fuzzy real option value generated by projects in the portfolio is maximized. The maximization of the option value gives the optimal selection of the projects implementation. Since the Options created by the dependent projects reduce the downside risk, the maximization of the fuzzy Real Option value of the portfolio will eventually minimize the downside risk of the overall portfolio. Here the problem has been formulated as a mathematical model for the optimization 11 more pages are available in the full version of this document, which may be purchased using the "Add to Cart" button on the product's webpage: www.igi-global.com/article/project-selection-using-fuzzyreal/70581?camid=4v1 This title is available in InfoSci-Journals, InfoSci-Journal Disciplines Business, Administration, and Management, InfoSci-Digital Marketing, E-Business, and E-Services eJournal Collection, InfoSci-Select. Recommend this product
基于模糊实物期权优化模型的IT项目选择
在实物期权分析的框架下,相互依赖的信息技术和电子商务项目的多时期融资优化选择一直是一个挑战。本文提出了该类项目多阶段投资组合模糊期权值优化的数学模型。利用模糊期权模型使每个项目的期权值最大化。将IT和电子服务项目组合选择问题表述为一个模糊的0 - 1整数规划模型,该模型可以同时处理不确定参数和柔性参数,以确定最优项目组合。优化投资组合的模糊实物期权价值的思想是使所选投资组合的总体价值最大化,使所选投资组合的下行风险最小化。提出了一种基于定性可能性理论的转换方法,从风险厌恶的角度将模糊投资组合模型转换为清晰的数学模型。转换后的模型可以用优化技术求解。优化模型和解决方案方法可以帮助电子商务企业家和IT管理人员对项目的优先级进行最优的资金决策,以实现电子商务和其他IT服务。DOI: 10.4018 / jeei。2012070104 38国际电子创业与创新学报,3(3),37-49,2012年7- 9月版权所有©2012,IGI Global。未经IGI Global书面许可,禁止以印刷或电子形式复制或分发。无线技术基础设施,数据仓库投资等。他们的投资评估可能产生负的NPV,但随着时间的推移,他们创造了价值。这些投资创造了宝贵的后续或有投资机会。实物期权分析是在评估IT和电子商务项目时结合灵活性影响的另一种方法。实物期权方法的基本思想是将资本市场理论中复杂的期权定价模型转移到风险项目的估值中。实物期权理论将投资活动视为不确定环境下的自由裁量决策,因而能够捕捉到现有净现金流量法所忽略的决策灵活性的价值。这些项目的初始投资类似于购买进一步依赖项目投资的期权。项目投资的价值主要不是由初始投资决定的,而是由初始投资提供的未来投资机会决定的。NPV和基于DCF的分析不太适合有风险的IT和电子商务项目,因为它们不能估计这些投资背后的管理灵活性。因此,成功项目的价值往往被低估,而失败项目的价值往往被高估。在实物期权估值方法中,此类项目的初始投资类似于对进一步依赖的电子商务项目的投资购买期权。因此,基本思路是将依赖项目的调用选项值添加到初始项目值中。因此,每个项目的总价值将是其自身的DCF值和在后续时间段内实施的相关项目的调用期权值的相加。电子企业家和选择IT项目为电子商务目的提供服务的公司面临着选择项目投资组合的重要问题。项目组合决策的目的是以平衡风险和回报的方式将有限的一组资源分配给项目。由于这些项目组合决策处理未来的事件和机会,因此做出组合决策所需的许多信息往好了说是不确定的,往坏了说是非常不可靠的。然而,即使有了这些可疑的信息,仍然必须做出项目组合决策。此外,资源或预算可用性可能是灵活的,因为可以从其他预算类别重新分配额外的预算。在许多应用中,模糊集理论被用于对不精确信息和偏好信息进行建模。它也可以用来表示不确定的项目信息。Pereira和Junior(1988)提出了一个简单的模糊多准则R&D投资组合选择问题,将每个准则的项目评价表示为模糊集,并开发了一种算法来获得非支配解。Machacha和Bhattacharya(2000)通过模糊集对信息系统项目选择中涉及的不确定关键因素进行建模,并开发了一种模糊逻辑方法来模拟人类的推理过程,并根据模糊或不精确的数据做出决策。Mohamed和McCowan(2001)运用模糊集理论处理建设项目中瞬时和非瞬时方面的固有不确定性,采用模糊排序指标对建设项目进行排序和选择。Hsu等人。
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