Skip to main content
Erschienen in: Neural Computing and Applications 10/2019

19.04.2018 | Original Article

Robust possibilistic programming for multi-item EOQ model with defective supply batches: Whale Optimization and Water Cycle Algorithms

verfasst von: Soheyl Khalilpourazari, Seyed Hamid Reza Pasandideh, Ali Ghodratnama

Erschienen in: Neural Computing and Applications | Ausgabe 10/2019

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper proposes a new mathematical model for multi-product economic order quantity model with imperfect supply batches. The supply batch is inspected upon arrival using “all or None” policy and if found defective, the whole batch will be rejected. In this paper, the goal is to determine optimal order quantity and backordering size for each product. To develop a realistic mathematical model of the problem, three robust possibilistic programming (RPP) approaches are developed to deal with uncertainty in main parameters of the model. Due to the complexity of the proposed RPP models, two novel meta-heuristic algorithms named water cycle and whale optimization algorithms are proposed to solve the RPP models. Various test problems are solved to evaluate the performance of the two novel meta-heuristic algorithms using different measures. Also, single-factor ANOVA and Tukey’s HSD test are utilized to compare the effectiveness of the two meta-heuristic algorithms. Applicability and efficiency of the RPP models are compared to the Basic Possibilistic Chance Constrained Programming (BPCCP) model within different realizations. The simulation results revealed that the RPP models perform significantly better than the BPCCP model. At the end, sensitivity analyses are carried out to determine the effect of any change in the main parameters of the mathematical model on the objective function value to determine the most critical parameters.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Literatur
2.
Zurück zum Zitat Cárdenas-Barrón LE (2000) Observation on:“economic production quantity model for items with imperfect quality”[Int J Prod Econ 64:59–64]. Int J Prod Econ 67(2):201 Cárdenas-Barrón LE (2000) Observation on:“economic production quantity model for items with imperfect quality”[Int J Prod Econ 64:59–64]. Int J Prod Econ 67(2):201
3.
Zurück zum Zitat Goyal SK, Cárdenas-Barrón LE (2002) Note on: economic production quantity model for items with imperfect quality–a practical approach. Int J Prod Econ 77(1):85–87CrossRef Goyal SK, Cárdenas-Barrón LE (2002) Note on: economic production quantity model for items with imperfect quality–a practical approach. Int J Prod Econ 77(1):85–87CrossRef
4.
Zurück zum Zitat Hayek PA, Salameh MK (2001) Production lot sizing with the reworking of imperfect quality items produced. Prod Plan Control 12(6):584–590CrossRef Hayek PA, Salameh MK (2001) Production lot sizing with the reworking of imperfect quality items produced. Prod Plan Control 12(6):584–590CrossRef
5.
Zurück zum Zitat Chung KJ, Huang YF (2006) Retailer’s optimal cycle times in the EOQ model with imperfect quality and a permissible credit period. Qual Quant 40(1):59–77MathSciNetCrossRef Chung KJ, Huang YF (2006) Retailer’s optimal cycle times in the EOQ model with imperfect quality and a permissible credit period. Qual Quant 40(1):59–77MathSciNetCrossRef
6.
Zurück zum Zitat Eroglu A, Ozdemir G (2007) An economic order quantity model with defective items and shortages. Int J Prod Econ 106(2):544–549CrossRef Eroglu A, Ozdemir G (2007) An economic order quantity model with defective items and shortages. Int J Prod Econ 106(2):544–549CrossRef
7.
Zurück zum Zitat Cárdenas-Barrón LE (2009) Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Comput Ind Eng 57(3):1105–1113CrossRef Cárdenas-Barrón LE (2009) Economic production quantity with rework process at a single-stage manufacturing system with planned backorders. Comput Ind Eng 57(3):1105–1113CrossRef
8.
Zurück zum Zitat Khan M, Jaber MY, Bonney M (2011) An economic order quantity (EOQ) for items with imperfect quality and inspection errors. Int J Prod Econ 133(1):113–118CrossRef Khan M, Jaber MY, Bonney M (2011) An economic order quantity (EOQ) for items with imperfect quality and inspection errors. Int J Prod Econ 133(1):113–118CrossRef
9.
Zurück zum Zitat Yassine A, Maddah B, Salameh M (2012) Disaggregation and consolidation of imperfect quality shipments in an extended EPQ model. Int J Prod Econ 135(1):345–352CrossRef Yassine A, Maddah B, Salameh M (2012) Disaggregation and consolidation of imperfect quality shipments in an extended EPQ model. Int J Prod Econ 135(1):345–352CrossRef
10.
Zurück zum Zitat Ouyang LY, Chang CT, Shum P (2012) The EOQ with defective items and partially permissible delay in payments linked to order quantity derived algebraically. Central Eur J Oper Res 20(1):141–160MathSciNetMATHCrossRef Ouyang LY, Chang CT, Shum P (2012) The EOQ with defective items and partially permissible delay in payments linked to order quantity derived algebraically. Central Eur J Oper Res 20(1):141–160MathSciNetMATHCrossRef
11.
Zurück zum Zitat Hsu JT, Hsu LF (2013) An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns. Int J Prod Econ 143(1):162–170CrossRef Hsu JT, Hsu LF (2013) An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns. Int J Prod Econ 143(1):162–170CrossRef
12.
Zurück zum Zitat Nasr WW, Maddah B, Salameh MK (2013) EOQ with a correlated binomial supply. Int J Prod Econ 144(1):248–255CrossRef Nasr WW, Maddah B, Salameh MK (2013) EOQ with a correlated binomial supply. Int J Prod Econ 144(1):248–255CrossRef
13.
Zurück zum Zitat Skouri K, Konstantaras I, Lagodimos AG, Papachristos S (2014) An EOQ model with backorders and rejection of defective supply batches. Int J Prod Econ 155:148–154CrossRef Skouri K, Konstantaras I, Lagodimos AG, Papachristos S (2014) An EOQ model with backorders and rejection of defective supply batches. Int J Prod Econ 155:148–154CrossRef
14.
Zurück zum Zitat Mukhopadhyay A, Goswami A (2014) Economic production quantity models for imperfect items with pollution costs. Syst Sci Control Eng Open Access J 2(1):368–378CrossRef Mukhopadhyay A, Goswami A (2014) Economic production quantity models for imperfect items with pollution costs. Syst Sci Control Eng Open Access J 2(1):368–378CrossRef
15.
Zurück zum Zitat Pasandideh SHR, Niaki STA, Niknamfar AH (2014) Lexicographic max–min approach for an integrated vendor-managed inventory problem. Knowl-Based Syst 59:58–65CrossRef Pasandideh SHR, Niaki STA, Niknamfar AH (2014) Lexicographic max–min approach for an integrated vendor-managed inventory problem. Knowl-Based Syst 59:58–65CrossRef
16.
Zurück zum Zitat Hsu LF, Hsu JT (2016) Economic production quantity (EPQ) models under an imperfect production process with shortages backordered. Int J Syst Sci 47(4):852–867MathSciNetMATHCrossRef Hsu LF, Hsu JT (2016) Economic production quantity (EPQ) models under an imperfect production process with shortages backordered. Int J Syst Sci 47(4):852–867MathSciNetMATHCrossRef
17.
Zurück zum Zitat Kumar RS, Goswami A (2015) A fuzzy random EPQ model for imperfect quality items with possibility and necessity constraints. Appl Soft Comput 34:838–850CrossRef Kumar RS, Goswami A (2015) A fuzzy random EPQ model for imperfect quality items with possibility and necessity constraints. Appl Soft Comput 34:838–850CrossRef
18.
Zurück zum Zitat Pasandideh SHR, Niaki STA, Gharaei A (2015) Optimization of a multiproduct economic production quantity problem with stochastic constraints using sequential quadratic programming. Knowl-Based Syst 84:98–107CrossRef Pasandideh SHR, Niaki STA, Gharaei A (2015) Optimization of a multiproduct economic production quantity problem with stochastic constraints using sequential quadratic programming. Knowl-Based Syst 84:98–107CrossRef
19.
Zurück zum Zitat Khalilpourazari S, Pasandideh SHR (2016) Bi-objective optimization of multi-product EPQ model with backorders, rework process and random defective rate. In: 2016 12th international conference on industrial engineering (ICIE). IEEE pp 36–40 Khalilpourazari S, Pasandideh SHR (2016) Bi-objective optimization of multi-product EPQ model with backorders, rework process and random defective rate. In: 2016 12th international conference on industrial engineering (ICIE). IEEE pp 36–40
20.
Zurück zum Zitat Mondal S, Maiti M (2003) Multi-item fuzzy EOQ models using genetic algorithm. Comput Ind Eng 44(1):105–117CrossRef Mondal S, Maiti M (2003) Multi-item fuzzy EOQ models using genetic algorithm. Comput Ind Eng 44(1):105–117CrossRef
21.
Zurück zum Zitat Chang HC (2004) An application of fuzzy sets theory to the EOQ model with imperfect quality items. Comput Oper Res 31(12):2079–2092MathSciNetMATHCrossRef Chang HC (2004) An application of fuzzy sets theory to the EOQ model with imperfect quality items. Comput Oper Res 31(12):2079–2092MathSciNetMATHCrossRef
22.
Zurück zum Zitat Papachristos S, Konstantaras I (2006) Economic ordering quantity models for items with imperfect quality. Int J Prod Econ 100(1):148–154CrossRef Papachristos S, Konstantaras I (2006) Economic ordering quantity models for items with imperfect quality. Int J Prod Econ 100(1):148–154CrossRef
23.
Zurück zum Zitat Wee HM, Yu J, Chen MC (2007) Optimal inventory model for items with imperfect quality and shortage backordering. Omega 35(1):7–11CrossRef Wee HM, Yu J, Chen MC (2007) Optimal inventory model for items with imperfect quality and shortage backordering. Omega 35(1):7–11CrossRef
24.
Zurück zum Zitat Baykasoğlu A, Göçken T (2007) Solution of a fully fuzzy multi-item economic order quantity problem by using fuzzy ranking functions. En Optim 39(8):919–939MathSciNetCrossRef Baykasoğlu A, Göçken T (2007) Solution of a fully fuzzy multi-item economic order quantity problem by using fuzzy ranking functions. En Optim 39(8):919–939MathSciNetCrossRef
25.
Zurück zum Zitat Konstantaras I, Goyal SK, Papachristos S (2007) Economic ordering policy for an item with imperfect quality subject to the in-house inspection. Int J Syst Sci 38(6):473–482MATHCrossRef Konstantaras I, Goyal SK, Papachristos S (2007) Economic ordering policy for an item with imperfect quality subject to the in-house inspection. Int J Syst Sci 38(6):473–482MATHCrossRef
26.
Zurück zum Zitat Mohan S, Mohan G, Chandrasekhar A (2008) Multi-item, economic order quantity model with permissible delay in payments and a budget constraint. Eur J Ind Eng 2(4):446–460CrossRef Mohan S, Mohan G, Chandrasekhar A (2008) Multi-item, economic order quantity model with permissible delay in payments and a budget constraint. Eur J Ind Eng 2(4):446–460CrossRef
27.
Zurück zum Zitat Maddah B, Jaber MY (2008) Economic order quantity for items with imperfect quality: revisited. Int J Prod Econ 112(2):808–815CrossRef Maddah B, Jaber MY (2008) Economic order quantity for items with imperfect quality: revisited. Int J Prod Econ 112(2):808–815CrossRef
28.
Zurück zum Zitat Khan M, Jaber MY, Wahab MIM (2010) Economic order quantity model for items with imperfect quality with learning in inspection. Int J Prod Econ 124(1):87–96CrossRef Khan M, Jaber MY, Wahab MIM (2010) Economic order quantity model for items with imperfect quality with learning in inspection. Int J Prod Econ 124(1):87–96CrossRef
29.
Zurück zum Zitat Roy MD, Sana SS, Chaudhuri K (2011) An economic order quantity model of imperfect quality items with partial backlogging. Int J Syst Sci 42(8):1409–1419MathSciNetMATHCrossRef Roy MD, Sana SS, Chaudhuri K (2011) An economic order quantity model of imperfect quality items with partial backlogging. Int J Syst Sci 42(8):1409–1419MathSciNetMATHCrossRef
30.
Zurück zum Zitat Pal B, Sana SS, Chaudhuri K (2012) Multi-item EOQ model while demand is sales price and price break sensitive. Econ Model 29(6):2283–2288CrossRef Pal B, Sana SS, Chaudhuri K (2012) Multi-item EOQ model while demand is sales price and price break sensitive. Econ Model 29(6):2283–2288CrossRef
31.
Zurück zum Zitat Khalilpourazari S, Pasandideh SHR (2017) Multi-item EOQ model with nonlinear unit holding cost and partial backordering: moth-flame optimization algorithm. J Ind Prod Eng 34(1):42–51 Khalilpourazari S, Pasandideh SHR (2017) Multi-item EOQ model with nonlinear unit holding cost and partial backordering: moth-flame optimization algorithm. J Ind Prod Eng 34(1):42–51
32.
Zurück zum Zitat Ross SM (1996) Stochastic processes, 2nd edn. Wiley, New YorkMATH Ross SM (1996) Stochastic processes, 2nd edn. Wiley, New YorkMATH
33.
Zurück zum Zitat Inuiguchi M, Ramık J (2000) Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem. Fuzzy Sets Syst 111(1):3–28MathSciNetMATHCrossRef Inuiguchi M, Ramık J (2000) Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem. Fuzzy Sets Syst 111(1):3–28MathSciNetMATHCrossRef
34.
Zurück zum Zitat Mula J, Poler R, Garcia JP (2006) MRP with flexible constraints: a fuzzy mathematical programming approach. Fuzzy Sets Syst 157(1):74–97MathSciNetMATHCrossRef Mula J, Poler R, Garcia JP (2006) MRP with flexible constraints: a fuzzy mathematical programming approach. Fuzzy Sets Syst 157(1):74–97MathSciNetMATHCrossRef
35.
Zurück zum Zitat Torabi SA, Hassini E (2008) An interactive possibilistic programming approach for multiple objective supply chain master planning. Fuzzy Sets Syst 159(2):193–214MathSciNetMATHCrossRef Torabi SA, Hassini E (2008) An interactive possibilistic programming approach for multiple objective supply chain master planning. Fuzzy Sets Syst 159(2):193–214MathSciNetMATHCrossRef
36.
Zurück zum Zitat Pishvaee MS, Razmi J, Torabi SA (2012) Robust possibilistic programming for socially responsible supply chain network design: a new approach. Fuzzy Sets Syst 206:1–20MathSciNetMATHCrossRef Pishvaee MS, Razmi J, Torabi SA (2012) Robust possibilistic programming for socially responsible supply chain network design: a new approach. Fuzzy Sets Syst 206:1–20MathSciNetMATHCrossRef
40.
Zurück zum Zitat Gen M (1997) Genetic algorithm and engineering design. Wiley, New York Gen M (1997) Genetic algorithm and engineering design. Wiley, New York
41.
Zurück zum Zitat Mirjalili S (2016) Dragonfly algorithm: a new meta-heuristic optimization technique for solving single-objective, discrete, and multi-objective problems. Neural Comput Appl 27(4):1053–1073CrossRef Mirjalili S (2016) Dragonfly algorithm: a new meta-heuristic optimization technique for solving single-objective, discrete, and multi-objective problems. Neural Comput Appl 27(4):1053–1073CrossRef
42.
Zurück zum Zitat Mirjalili S (2016) SCA: a sine cosine algorithm for solving optimization problems. Knowl-Based Syst 96:120–133CrossRef Mirjalili S (2016) SCA: a sine cosine algorithm for solving optimization problems. Knowl-Based Syst 96:120–133CrossRef
43.
Zurück zum Zitat Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61CrossRef Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61CrossRef
44.
Zurück zum Zitat Mirjalili S, Mirjalili SM, Hatamlou A (2016) Multi-verse optimizer: a nature-inspired algorithm for global optimization. Neural Comput Appl 27(2):495–513CrossRef Mirjalili S, Mirjalili SM, Hatamlou A (2016) Multi-verse optimizer: a nature-inspired algorithm for global optimization. Neural Comput Appl 27(2):495–513CrossRef
45.
Zurück zum Zitat Mirjalili S (2015) Moth-flame optimization algorithm: a novel nature-inspired heuristic paradigm. Knowl-Based Syst 89:228–249CrossRef Mirjalili S (2015) Moth-flame optimization algorithm: a novel nature-inspired heuristic paradigm. Knowl-Based Syst 89:228–249CrossRef
46.
Zurück zum Zitat Mirjalili S, Lewis A (2016) The whale optimization algorithm. Adv Eng Softw 95:51–67CrossRef Mirjalili S, Lewis A (2016) The whale optimization algorithm. Adv Eng Softw 95:51–67CrossRef
47.
Zurück zum Zitat Eskandar H, Sadollah A, Bahreininejad A, Hamdi M (2012) Water Cycle algorithm–a novel metaheuristic optimization method for solving constrained engineering optimization problems. Comput Struct 110:151–166CrossRef Eskandar H, Sadollah A, Bahreininejad A, Hamdi M (2012) Water Cycle algorithm–a novel metaheuristic optimization method for solving constrained engineering optimization problems. Comput Struct 110:151–166CrossRef
48.
Zurück zum Zitat Zhang Y, Song S, Zhang H, Wu C, Yin W (2012) A hybrid genetic algorithm for two-stage multi-item inventory system with stochastic demand. Neural Comput Appl 21(6):1087–1098CrossRef Zhang Y, Song S, Zhang H, Wu C, Yin W (2012) A hybrid genetic algorithm for two-stage multi-item inventory system with stochastic demand. Neural Comput Appl 21(6):1087–1098CrossRef
50.
Zurück zum Zitat Mortazavi A, Khamseh AA, Naderi B (2015) A novel chaotic imperialist competitive algorithm for production and air transportation scheduling problems. Neural Comput Appl 26(7):1709–1723CrossRef Mortazavi A, Khamseh AA, Naderi B (2015) A novel chaotic imperialist competitive algorithm for production and air transportation scheduling problems. Neural Comput Appl 26(7):1709–1723CrossRef
52.
Zurück zum Zitat Dalfard VM, Kaveh M, Nosratian NE (2013) Two meta-heuristic algorithms for two-echelon location-routing problem with vehicle fleet capacity and maximum route length constraints. Neural Comput Appl 23(7–8):2341–2349CrossRef Dalfard VM, Kaveh M, Nosratian NE (2013) Two meta-heuristic algorithms for two-echelon location-routing problem with vehicle fleet capacity and maximum route length constraints. Neural Comput Appl 23(7–8):2341–2349CrossRef
53.
Zurück zum Zitat Abdelaziz AY, Ali ES, Elazim SA (2016) Implementation of flower pollination algorithm for solving economic load dispatch and combined economic emission dispatch problems in power systems. Energy 101:506–518CrossRef Abdelaziz AY, Ali ES, Elazim SA (2016) Implementation of flower pollination algorithm for solving economic load dispatch and combined economic emission dispatch problems in power systems. Energy 101:506–518CrossRef
54.
Zurück zum Zitat Ali ES, Elazim SA, Abdelaziz AY (2016) Ant lion optimization algorithm for renewable distributed generations. Energy 116:445–458CrossRef Ali ES, Elazim SA, Abdelaziz AY (2016) Ant lion optimization algorithm for renewable distributed generations. Energy 116:445–458CrossRef
56.
Zurück zum Zitat Byrd RH, Gilbert JC, Nocedal J (2000) A trust region method based on interior point techniques for nonlinear programming. Math Program 89(1):149–185MathSciNetMATHCrossRef Byrd RH, Gilbert JC, Nocedal J (2000) A trust region method based on interior point techniques for nonlinear programming. Math Program 89(1):149–185MathSciNetMATHCrossRef
57.
Zurück zum Zitat Byrd RH, Hribar ME, Nocedal J (1999) An interior point algorithm for large-scale nonlinear programming. SIAM J Optim 9(4):877–900MathSciNetMATHCrossRef Byrd RH, Hribar ME, Nocedal J (1999) An interior point algorithm for large-scale nonlinear programming. SIAM J Optim 9(4):877–900MathSciNetMATHCrossRef
58.
Zurück zum Zitat Waltz RA, Morales JL, Nocedal J, Orban D (2006) An interior algorithm for nonlinear optimization that combines line search and trust region steps. Math Program 107(3):391–408MathSciNetMATHCrossRef Waltz RA, Morales JL, Nocedal J, Orban D (2006) An interior algorithm for nonlinear optimization that combines line search and trust region steps. Math Program 107(3):391–408MathSciNetMATHCrossRef
59.
Zurück zum Zitat Khalilpourazari S, Mohammadi M (2016) Optimization of closed-loop supply chain network design: a Water Cycle Algorithm approach. In: 2016 12th international conference on industrial engineering (ICIE). IEEE, pp 41–45 Khalilpourazari S, Mohammadi M (2016) Optimization of closed-loop supply chain network design: a Water Cycle Algorithm approach. In: 2016 12th international conference on industrial engineering (ICIE). IEEE, pp 41–45
60.
Zurück zum Zitat Sadollah A, Eskandar H, Lee HM, Yoo DG, Kim JH (2016) Water Cycle algorithm: a detailed standard code. SoftwareX 5:37–43CrossRef Sadollah A, Eskandar H, Lee HM, Yoo DG, Kim JH (2016) Water Cycle algorithm: a detailed standard code. SoftwareX 5:37–43CrossRef
61.
Zurück zum Zitat Sadollah A, Eskandar H, Bahreininejad A, Kim JH (2015) Water Cycle algorithm with evaporation rate for solving constrained and unconstrained optimization problems. Appl Soft Comput 30:58–71CrossRef Sadollah A, Eskandar H, Bahreininejad A, Kim JH (2015) Water Cycle algorithm with evaporation rate for solving constrained and unconstrained optimization problems. Appl Soft Comput 30:58–71CrossRef
62.
Zurück zum Zitat Watkins WA, Schevill WE (1979) Aerial observation of feeding behavior in four baleen whales: Eubalaena glacialis, Balaenoptera borealis, Megaptera novaeangliae, and Balaenoptera physalus. J Mammal 60(1):155–163CrossRef Watkins WA, Schevill WE (1979) Aerial observation of feeding behavior in four baleen whales: Eubalaena glacialis, Balaenoptera borealis, Megaptera novaeangliae, and Balaenoptera physalus. J Mammal 60(1):155–163CrossRef
63.
Zurück zum Zitat Roy RA (1990) Primer on the Taguchi method. Society of Manufacturing Engineers, New YorkMATH Roy RA (1990) Primer on the Taguchi method. Society of Manufacturing Engineers, New YorkMATH
64.
Zurück zum Zitat Taguchi G, Chowdhury S, Wu Y (2005) Taguchi’s quality engineering handbook. Wiley, HobokenMATH Taguchi G, Chowdhury S, Wu Y (2005) Taguchi’s quality engineering handbook. Wiley, HobokenMATH
66.
Zurück zum Zitat Khalilpourazari S, Pasandideh SHR, Niaki STA (2016) Optimization of multi-product economic production quantity model with partial backordering and physical constraints: SQP, SFS, SA, and WCA. Appl Soft Comput 49:770–791CrossRef Khalilpourazari S, Pasandideh SHR, Niaki STA (2016) Optimization of multi-product economic production quantity model with partial backordering and physical constraints: SQP, SFS, SA, and WCA. Appl Soft Comput 49:770–791CrossRef
67.
Zurück zum Zitat Kayvanfar V, Teymourian E (2014) Hybrid intelligent water drops algorithm to unrelated parallel machines scheduling problem: a just-in-time approach. Int J Prod Res 52(19):5857–5879CrossRef Kayvanfar V, Teymourian E (2014) Hybrid intelligent water drops algorithm to unrelated parallel machines scheduling problem: a just-in-time approach. Int J Prod Res 52(19):5857–5879CrossRef
68.
Zurück zum Zitat Pishvaee MS, Rabbani M, Torabi SA (2011) A robust optimization approach to closed-loop supply chain network design under uncertainty. Appl Math Model 35(2):637–649MathSciNetMATHCrossRef Pishvaee MS, Rabbani M, Torabi SA (2011) A robust optimization approach to closed-loop supply chain network design under uncertainty. Appl Math Model 35(2):637–649MathSciNetMATHCrossRef
70.
Zurück zum Zitat Talaei M, Moghaddam BF, Pishvaee MS, Bozorgi-Amiri A, Gholamnejad S (2016) A robust fuzzy optimization model for carbon-efficient closed-loop supply chain network design problem: a numerical illustration in electronics industry. J Clean Prod 113:662–673CrossRef Talaei M, Moghaddam BF, Pishvaee MS, Bozorgi-Amiri A, Gholamnejad S (2016) A robust fuzzy optimization model for carbon-efficient closed-loop supply chain network design problem: a numerical illustration in electronics industry. J Clean Prod 113:662–673CrossRef
71.
Zurück zum Zitat Khalilpourazari S, Khalilpourazary S (2017) A lexicographic weighted Tchebycheff approach for multi-constrained multi-objective optimization of the surface grinding process. Eng Optim 49(5):878–895MathSciNetCrossRef Khalilpourazari S, Khalilpourazary S (2017) A lexicographic weighted Tchebycheff approach for multi-constrained multi-objective optimization of the surface grinding process. Eng Optim 49(5):878–895MathSciNetCrossRef
74.
Zurück zum Zitat Mohammadi M, Khalilpourazari S (2017) Minimizing makespan in a single machine scheduling problem with deteriorating jobs and learning effects. In: Proceedings of the 6th international conference on software and computer applications. ACM, pp 310–315 Mohammadi M, Khalilpourazari S (2017) Minimizing makespan in a single machine scheduling problem with deteriorating jobs and learning effects. In: Proceedings of the 6th international conference on software and computer applications. ACM, pp 310–315
Metadaten
Titel
Robust possibilistic programming for multi-item EOQ model with defective supply batches: Whale Optimization and Water Cycle Algorithms
verfasst von
Soheyl Khalilpourazari
Seyed Hamid Reza Pasandideh
Ali Ghodratnama
Publikationsdatum
19.04.2018
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 10/2019
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-018-3492-3

Weitere Artikel der Ausgabe 10/2019

Neural Computing and Applications 10/2019 Zur Ausgabe

Premium Partner