پیوندهای مفید
آمار
| تعداد نشریات | 32 |
| تعداد شمارهها | 857 |
| تعداد مقالات | 8,321 |
| تعداد مشاهده مقاله | 52,861,562 |
| تعداد دریافت فایل اصل مقاله | 9,284,032 |
Designing and evaluating an optimal budget plan for parallel network systems through DEA methodology | ||
| Journal of Mathematical Modeling | ||
| مقاله 5، دوره 11، شماره 4، اسفند 2023، صفحه 665-680 اصل مقاله (296.96 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.24311.2176 | ||
| نویسندگان | ||
| Ali Reza Fakharzadeh Jahromi؛ Hassan Rostamzadeh* ؛ Mohamad Hassan Mojtabaei | ||
| Department of OR, Faculty of Mathematics, Shiraz University of Technology, Shiraz, Iran | ||
| چکیده | ||
| For an optimal system design (OSD), data envelopment analysis (DEA) treats companies as black boxes disregarding their internal processes. Considering the effect of these processes into account companies can upgrade their internal mechanisms of optimal budgeting allocation. The internal processes can be defined as series and parallel networks or a combination of them. In the literature, DEA is utilized as an approach for OSD in order to determine the optimal budget for a company's activities in a system of series network production; but it is shown that this model is not suitable for budgeting parallel systems. To fill this gap, a new model is presented in this paper to evaluate a company's optimal budgeting which has a parallel network system. The presented parallel network OSD via DEA models, allocates the optimal budget to each of the internal processes of the decision-making units (DMU) based on the efficiency of the parallel internal processes. The model, with a limited budget, also is able to identify the amount of budget deficit and congestion. In this regard, two real cases are studied using the suggested model, which is presented in the parallel network OSD via DEA and Forest production in Taiwan. The optimal budget, budget deficit and congestion, and also the advantages of the proposed model are discussed in these examples as well. | ||
| کلیدواژهها | ||
| Network data envelopment analysis؛ budgeting؛ parallel system؛ DEA | ||
| مراجع | ||
|
[1] N.K. Avkiran, Opening the black box of efficiency analysis: an illustration with UAE banks, Omega 37 (2009) 930–941. [2] R.E. Barlow, F. Proschan, Importance of system components and fault tree events, Stochastic Process. Appl. 3 (1975) 153–173. [3] J.E. Beasley, Determining teaching and research efficiencies, J. Oper. Res. Soc. 46 (1995) 441–452. [4] G. Bi, J. Ding, Y. Luo, L. Liang, Resource allocation and target setting for parallel production system based on DEA, Appl. Math. Model. 35 (2011) 4270–4280. [5] A. Charnes, W.W. Cooper, B. Golany, R. Halek, G. Klopp, E. Schmitz, D. Thomas, Two phase data envelopment analysis approach to policy evaluation and management of army recruiting activities: tradeoffs between joint services and army advertising, Research Report CCS. 532 (1986). [6] W.D. Cook, L. Liang, J. Zhu, Measuring performance of two-stage network structures by DEA: a review and future perspective, Omega 38 (2010) 423–430. [7] W.W. Cooper, L.M. Seiford, K. Tone, Introduction to Data Envelopment Analysis and its Uses: With DEA-Solver Software and References, New York, Springer, 2007. [8] A. Emrouznejad, G.I. Yang, A survey and analysis of the first 40 years of scholarly literature in DEA: 1978-2016, Socio-Econ. Plan. Sci. 61 (2018) 4–8. [9] L. Fang, Optimal budget for system design series network DEA model, J. Oper. Res. Soc. 65 (2014) 1781–1787. [10] R. Fare, S. Grosskopf, Intertemporal production frontiers: with dynamic DEA, Kluwer Academic Publishers, Boston, 1996. [11] R. Fare, S. Grosskopf, Network DEA, Socio-Econ. Plan. Sci. 34 (2000) 35–49. [12] R. Fare, S. Grosskopf, Theory and application of directional distance functions, J. Product Anal. 13 (2000) 93–103. [13] A. Fakharzadeh Jahromi, M. Mojtabaei, An optimal budgeting model for dynamic network systems design via data envelopment analysis, J. Math. Ext. 14 (2020) 1–28. [14] A. Fakharzadeh Jahromi, M.H. Mojtabaei, M. Haghguyan Jahromi, Optimal budgeting by using a generalized optimal system design DEA model and the effect of a new DMU's budget in the model, J. Organ. Behav. 4 (2019) ID: 91S2547. [15] Y. Gong, J. Zhu, Y. Chen, D.C. Wade, DEA as a tool for auditing: application to Chinese manufacturing industry with parallel network structures, Ann. Oper. Res. 263 (2018) 247–269. [16] G.E. Halkos, N.G. Tzeremes, S. Kourtzidis, A unified classification of two-stage DEA models, Surv. Oper. Res. Manag. Sci. 19 (2014) 1–16. [17] H. Li, C. Chen, D.W. Cook, J. Zhang, J. Zhu, Two-stage Network DEA: Who is the Leader?, Omega 74 (2018) 15–19. [18] H. Liu, Y. Zhang, Q. Zhu, J. Chu, Environmental efficiency of land transportation in China: A parallel slack-based measure for regional and temporal analysis, J. Clean. Prod. 142 (2017) 867–876. [19] C. Kao, Efficiency measurement for parallel production systems, European J. Oper. Res. 196 (2009) 1107–1112. [20] C. Kao, Efficiency decomposition in network data envelopment analysis. In: W.D. Cook and J. Zhu (eds.) Data Envelopment Analysis: A Handbook on the Modeling of Internal Structures and Networks, Boston, Springer, (2014) 55–77. [21] C. Kao, Measurement and decomposition of the Malmquist productivity index for parallel production systems, Omega 67 (2017) 54–59. [22] C. Kao, S.N. Hwang, Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan, European J. Oper. Res. 185 (2008) 418–429. [23] A.M. Prieto, J.L. Zofio, Network DEA efficiency in input-output models: With an application to OECD countries, European J. Oper. Res. 178 (2007) 292–304. [24] B.K. Sahoo, J. Zhu, K. Tone, B.M. Klemen, Decomposing technical efficiency and scale elasticity in two-stage network DEA, European J. Oper. Res. 233 (2014) 584–594. [25] C. Sheth, K. Triantis, D. Teodorovic, Performance evaluation of bus routes: A provider and passenger perspective, Transp. Res. E: Logist. Transp. 43 (2007) 453–478. [26] K. Tone, B.K. Sahoo, Scale, indivisibilities and production function in data envelopment analysis, Int. J. Prod. Econ. 84 (2003) 165-192. [27] C.B. Vaz, A.S. Camanho, R.C. Guimaraes, The assessment of retailing efficiency using network data envelopment analysis, Ann. Oper. Res. 173 (2010) 5–24. [28] Q.L. Wei, T.S. Chang, Optimal system design series-network DEA models, J. Oper. Res. Soc. 62 (2011) 1109–1119. [29] Q. Wei, T.S. Chang, Optimal profit-maximizing system design data envelopment analysis models, Comput. Ind. Eng. 61 (2011) 1275–1284. [30] M.M. Yu, E.T. Lin, Efficiency and effectiveness in railway performance using a multi-activity network DEA model, Omega 36 (2008) 1005–1017. [31] M. Zeleny, Optimizing given systems vs. designing optimal systems: The De Novo programming approach, Int. J. General Syst. 17 (1999) 295–307. | ||
|
آمار تعداد مشاهده مقاله: 401 تعداد دریافت فایل اصل مقاله: 550 |
||