Iranian Journal of Optimization: 5 (4)

Open Access Article

1 - A novel study on nonlinear fractional differential equations: general solution
موسی ایلی علی خوش کنار

In the present article, the Abel's technique has been developed to finding a general solution of the modified linear first-order ordinary differential equations in the sense of the truncated M-fractional derivative. By using proposed approach, a general solution of two More

In the present article, the Abel's technique has been developed to finding a general solution of the modified linear first-order ordinary differential equations in the sense of the truncated M-fractional derivative. By using proposed approach, a general solution of two well-recognized nonlinear first-order ordinary differential equations, Bernoulli and Riccati, in agreement with truncated M-fractional derivative have been obtained. For each equation, some examples are presented for satisfactory and efficiency of the proposed method. Manuscript profile

Open Access Article

2 - DEA models with out explicit inputs or outputs: radial and nonradial approaches
Zohreh Moghaddas

Many applications and studies are concerns about studying DEA mod-els without explicit inputs or outputs for performance evaluation ofDecision Making Units (DMUs). On basis of what provided in DEAliterature in this paper it has been veried that in the mentioned ap-proa More

Many applications and studies are concerns about studying DEA mod-els without explicit inputs or outputs for performance evaluation ofDecision Making Units (DMUs). On basis of what provided in DEAliterature in this paper it has been veried that in the mentioned ap-proach convexity assumption has not been properly dealt with. Thus,a modied approach has been presented and for clarity, an applicationof the DEA models without inputs and outputs are presented. Manuscript profile

Open Access Article

3 - Merger analysis using inverse DEA: the case of variable returns to scale
مجتبی غیاثی

In a dynamic economy, mergers and consolidations of economic and finance sectors likebanks, etc. becoming more common. One of the applications of the inverseDEA is the merger analysis of a series of production units. Data envelopment analysis (DEA) measures the efficien More

In a dynamic economy, mergers and consolidations of economic and finance sectors likebanks, etc. becoming more common. One of the applications of the inverseDEA is the merger analysis of a series of production units. Data envelopment analysis (DEA) measures the efficiency score of a decision making unit (DMU) considering its input and output level. On the other side, the inverse DEA approach aims to find required input levels for DMU to produce a presumed output level preserving the efficiency score. In a rather recent paper, (Gattoufi, Amin, & Emrouznejad, 2014) introduced an interesting application of inverse DEA models for merger analysis. The current paper extends this work by developing a generalized inverse DEA model assuming variable returns to scale. In contrast with (Gattoufi et al., 2014), it is shown that proposed models are always feasible and bounded. The idea is illustrated using a methodical argument and two numerical examples. An empirical study of financial institutes shows the strength and the applicability of the proposed methods. Manuscript profile

Open Access Article

4 - Efficiency Evaluation of Economic Enterprise in Presence of Interval Undesirable and Negative Data
MAHNAZ MAGHBOULI مهدی عینی فرهاد طاهر FATEMEH GHOMANJANI

Data envelopment analysis (DEA) as a non-parametric method has covered a wide range of applications in measuring comparative efficiency of decision making units (DMUs) with multiple incommensurate inputs and outputs. The standard DEA method requires that all input and o More

Data envelopment analysis (DEA) as a non-parametric method has covered a wide range of applications in measuring comparative efficiency of decision making units (DMUs) with multiple incommensurate inputs and outputs. The standard DEA method requires that all input and output variables be known as semi positive. In many real situations, the presence of undesirable and even negative data are inevitable. In DEA literature there have been various approaches to enable DEA to deal with negative data. On the other hand, the structure of interval data has recently attracted considerable attention among DEA researchers. According to importance of interval data, this paper proposes a radial measure which permits the presence of undesirable and negative data with interval structure. The proposed model can evaluate the efficiency of all DMUs and leads to improve the inefficient unit with interval negative and undesirable data. To elucidate the details of the proposed method an illustrative example of a private bank in IRAN explores the applicability of the proposed method. Manuscript profile

Open Access Article

5 - Modeling and Optimization of Chemical Fertilizers Supply Chain using Hybrid Whale Optimization and Simulated Annealing
Motahareh Rabbani سید محمد حاجی مولانا Seyed Mojtaba Sajadi Mohammad Hossein Davoodi

Phosphorus is a basic constituent of chemical fertilizers and plays a pivotal role in crop yield enhancement in agriculture systems. Considering the growing demands for phosphorus and the limited resources of this vital substance, sustainable supply chain management (SC More

Phosphorus is a basic constituent of chemical fertilizers and plays a pivotal role in crop yield enhancement in agriculture systems. Considering the growing demands for phosphorus and the limited resources of this vital substance, sustainable supply chain management (SCM) of chemical fertilizers is of great importance. In the present study, a mathematical model for sustainable chemical fertilizer SCM is presented. Taking into account the adverse environmental effects of the production and consumption of chemical fertilizers, the present study attempts to design a sustainable SCM concerning economic, environmental, and social factors. To solve the problem, a hybrid metaheuristic algorithm incorporating whale optimization and simulated annealing is used considering a multi-objective function. The simulation results obtained from a real case study of the chemical fertilizers supply chain network in Iran proved the effectiveness and applicability of the proposed model and solution method. Obtained results show the effectiveness of the proposed method compared with other algorithms with respect to economic, social, and environmental factors. Manuscript profile

Open Access Article

6 - Multi-objective firefly optimization algorithm for construction site layout planning
Abolfazl Ghadiri داود صداقت شایگان علی اصغر امیرکاردوست

Safety importance on construction site layout plan is an essential requirement to improve construction project management. In previous studies the safety objective function is considered without risk factors analysis. Metaheuristics are widely used to solve construction More

Safety importance on construction site layout plan is an essential requirement to improve construction project management. In previous studies the safety objective function is considered without risk factors analysis. Metaheuristics are widely used to solve construction site layout problems (CSLP). Firefly Algorithm (FA) is employed as multi-objective optimization method to design and optimize two safety objective functions and total cost. Safety objective functions (due to potential risks arising from hazardous sources and interaction flows) connecting temporary facilities by considering total cost reduction. A case study is presented to find out accuracy of the proposed model. Finally, the performance of two metaheuristic algorithms called Firefly Algorithm (FA) and Ant Colony Optimization (ACO) are compared in terms of their effectiveness in resolving a practical construction site layout problem. Results show that the FA performs better than the ACO Algorithm. Manuscript profile

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